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Wyświetlanie 1-100 z 159
Tytuł:
Niejasności związane z Bernarda Bolzana 'definicją' zbioru nieskończonego
The ambiguities associated with Bernard Bolzano's 'definition' of the infinite set
Autorzy:
Dadaczyński, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/690712.pdf
Data publikacji:
2009
Wydawca:
Copernicus Center Press
Tematy:
Bernard Bolzano
definition of infinite set
paradoxes of infinite set
Opis:
The aim of the paper is to remove the ambiguities contained in the 20th Section Bernard Bolzano's 'Paradoxien des Unendlichen'. Conclusion is that Bolzano originally wanted only to present in the 20th Section one of the (many) paradoxes of infinite sets: an infinite set may be equivalent with its subset. The proof in the 20th Section applies only to this property. Later added Bolzano to the text of the 20th Section a generalizing remark. Only this remark suggests that Bolzano anticipated the reflexive (Dedekindian) definition of the infinity set.
Źródło:
Zagadnienia Filozoficzne w Nauce; 2009, 44; 100-115
0867-8286
2451-0602
Pojawia się w:
Zagadnienia Filozoficzne w Nauce
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dualities for linear control differential systems with infinite matrices
Autorzy:
Mozyrska, D.
Bartosiewicz, Z.
Powiązania:
https://bibliotekanauki.pl/articles/970007.pdf
Data publikacji:
2006
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
infinite linear differential system
row-finite infinite matrix
approximate controllability
observability
Opis:
Infinite-dimensional linear dynamic systems described by infinite matrices are studied. Approximate controllability for systems with lower-diagonal matrices is investigated, whereas observability is studied for systems with row-finite and upper-diagonal matrices. Different necessary or sufficient conditions of approximate controllability and observability of such systems are given. They are used to show dualities between these properties. The theorems on dualities extend the results known for finite-dimensional systems.
Źródło:
Control and Cybernetics; 2006, 35, 4; 887-904
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The lq-controller synthesis problem for infinite-dimensional systems in factor form
Autorzy:
Grabowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/254801.pdf
Data publikacji:
2013
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
control of infinite-dimensional systems
semigroups
infinite-time lq-control problem
Opis:
The general lq-problem with infinite time horizon for well-posed infinite-dimensional systems has been investigated by George Weiss and Martin Weiss and by Olof Staffans with a complement by Kalle Mikkola and Olof Staffans. Our aim in this paper is to present a solution of a general lq-optimal controller synthesis problem for infinite-dimensional systems in factor form. The systems in factor form are an alternative to additive models, used in the theory of well-posed systems, which rely on leading the analysis exclusively within the basic state space. As a result of applying the simplified analysis in terms of the factor systems and an another derivation technique, we obtain an equivalent, however, astonishingly not the same formulae expressing the optimal controller in the time-domain and the method of spectral factorization. The results are illustrated by two examples of the construction of both the optimal control and optimal controller for some standard lq-problems met in literature: a control problem for a class of boundary controlled hyperbolic equations initiated by Chapelon and Xu, to which we give full solution and an example of the synthesis of the optimal control/controller for the standard lq-problem with infinite-time horizon met in the problem of improving a river water quality by artificial aeration, proposed by Zołopa and the author.
Źródło:
Opuscula Mathematica; 2013, 33, 1; 29-79
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Countable partitions of the sets of points and lines
Autorzy:
Schmerl, James
Powiązania:
https://bibliotekanauki.pl/articles/1205246.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
infinite partitions
Euclidean space
Opis:
The following theorem is proved, answering a question raised by Davies in 1963. If $L_0 ∪ L_1 ∪ L_2 ∪...$ is a partition of the set of lines of $ℝ^n$, then there is a partition $ℝ^n = S_0 ∪ S_1 ∪ S_2 ∪...$ such that $|ℓ ∩ S_i| ≤ 2$ whenever $ℓ ∈ L_i$. There are generalizations to some other, higher-dimensional subspaces, improving recent results of Erdős, Jackson & Mauldin.
Źródło:
Fundamenta Mathematicae; 1999, 160, 2; 183-196
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Geometrically strictly semistable laws as the limit laws
Autorzy:
Malinowski, Marek
Powiązania:
https://bibliotekanauki.pl/articles/729998.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
infinite divisibility
geometric infinite divisibility
geometric semistability
random sums
limit laws
characteristic function
Opis:
A random variable X is geometrically infinitely divisible iff for every p ∈ (0,1) there exists random variable $X_p$ such that $X\stackrel{d}{=} ∑_{k=1}^{T(p)}X_{p,k}$, where $X_{p,k}$'s are i.i.d. copies of $X_p$, and random variable T(p) independent of ${X_{p,1},X_{p,2},...}$ has geometric distribution with the parameter p. In the paper we give some new characterization of geometrically infinitely divisible distribution. The main results concern geometrically strictly semistable distributions which form a subset of geometrically infinitely divisible distributions. We show that they are limit laws for random and deterministic sums of independent random variables.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2007, 27, 1-2; 79-97
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sur l’invariance de la dimension infinie forte par t-équivalence
Autorzy:
Cauty, Robert
Powiązania:
https://bibliotekanauki.pl/articles/1205255.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
function space
strongly infinite-dimensional
Opis:
Let X and Y be metric compacta such that there exists a continuous open surjection from $C_p(Y)$ onto $C_p(X)$. We prove that if there exists an integer k such that $X^k$ is strongly infinite-dimensional, then there exists an integer p such that $Y^p$ is strongly infinite-dimensional.
Źródło:
Fundamenta Mathematicae; 1999, 160, 1; 95-100
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On weakly infinite-dimensional subspuees
Autorzy:
Borst, P.
Powiązania:
https://bibliotekanauki.pl/articles/1215030.pdf
Data publikacji:
1992
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
weakly infinite-dimensional
transfinite dimension
Opis:
We will construct weakly infinite-dimensional (in the sense of Y. Smirnov) spaces X and Y such that Y contains X topologically and $dim Y = ω_0$ and $dim X = ω_0 + 1$. Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.
Źródło:
Fundamenta Mathematicae; 1991-1992, 140, 3; 225-235
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Small-gain theorem for a class of abstract parabolic systems
Autorzy:
Grabowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/255288.pdf
Data publikacji:
2018
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
control of infinite-dimensional systems semigroups
infinite-time LQ-control problem
Lur'e feedback systems
Opis:
We consider a class of abstract control system of parabolic type with observation which the state, input and output spaces are Hilbert spaces. The state space operator is assumed to generate a linear exponentially stable analytic semigroup. An observation and control action are allowed to be described by unbounded operators. It is assumed that the observation operator is admissible but the control operator may be not. Such a system is controlled in a feedback loop by a controller with static characteristic being a globally Lipschitz map from the space of outputs into the space of controls. Our main interest is to obtain a perturbation theorem of the small-gain-type which guarantees that null equilibrium of the closed-loop system will be globally asymptotically stable in Lyapunov's sense.
Źródło:
Opuscula Mathematica; 2018, 38, 5; 651-680
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The LQ/KYP problem for infinite-dimensional systems
Autorzy:
Grabowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/255449.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
control of infinite-dimensional systems
semigroups
infinite-time LQ-control problem
Lur’e feedback systems
Opis:
Our aim is to present a solution to a general linear-quadratic (LQ) problem as well as to a Kalman-Yacubovich-Popov (KYP) problem for infinite-dimensional systems with bounded operators. The results are then applied, via the reciprocal system approach, to the question of solvability of some Lur'e resolving equations arising in the stability theory of infinite-dimensional systems in factor form with unbounded control and observation operators. To be more precise the Lur’e resolving equations determine a Lyapunov functional candidate for some closed-loop feedback systems on the base of some properties of an uncontrolled (open-loop) system. Our results are illustrated in details by an example of a temperature of a rod stabilization automatic control system.
Źródło:
Opuscula Mathematica; 2017, 37, 1; 21-64
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Global convergence of successive approximations of the Darboux problem for partial functional differential equations with infinite delay
Autorzy:
Człapiński, T.
Powiązania:
https://bibliotekanauki.pl/articles/255121.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
successive approximations
Darboux problem
infinite delay
Opis:
We consider the Darboux problem for the hyperbolic partial functional differential equation with infinite delay. We deal with generalized (in the "almost everywhere" sense) solutions of this problem. We prove a theorem on the global convergence of successive approximations to a unique solution of the Darboux problem.
Źródło:
Opuscula Mathematica; 2014, 34, 2; 327-338
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cycle Double Covers of Infinite Planar Graphs
Autorzy:
Javaheri, Mohammad
Powiązania:
https://bibliotekanauki.pl/articles/31340892.pdf
Data publikacji:
2016-08-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
cycle double cover
infinite planar graph
Opis:
In this paper, we study the existence of cycle double covers for infinite planar graphs. We show that every infinite locally finite bridgeless k-indivisible graph with a 2-basis admits a cycle double cover.
Źródło:
Discussiones Mathematicae Graph Theory; 2016, 36, 3; 523-544
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reminiscenze leopardiane nell’ opera di Maria Konopnicka
Reminiscences of Leopardi in Maria Konopnicka’s Oeuvre
Reminiscencje Leopardiańskie W Dziełach Marii Konopnickiej
Autorzy:
Trzeciak, Małgorzata Ewa
Powiązania:
https://bibliotekanauki.pl/articles/2076640.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
poetry
infinite
Italy
reception
Leopardi
Konopnicka
Opis:
Drawing upon studies on the reception of Leopardi’s poetry in Poland, this essay investigates the influence of Leopardi’s works on Maria Konopnicka’s oeuvre as it argues that the influence was key to a certain change of poetic imagery in her works. Through an analysis of poems and other writings by Konopnicka, the article throws a new light on the reception of Leopardi’s poetry in Poland. This subject has so far been rather neglected by critics.
Źródło:
Kwartalnik Neofilologiczny; 2016, 2; 234-243
0023-5911
Pojawia się w:
Kwartalnik Neofilologiczny
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On infinite composition of affine mappings
Autorzy:
Máté, László
Powiązania:
https://bibliotekanauki.pl/articles/1205281.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
affine mapping
subshift
infinite tree
joint contraction
Opis:

 Let ${F_i = 1,...,N}$ be affine mappings of $ℝ^n$. It is well known that if
there exists j ≤ 1 such that for every $σ_1,...,σ _j ∈ {1,..., N}$ the composition
(1) $F_{σ1}∘...∘ F_{σ_j}$
is a contraction, then for any infinite sequence $σ_1, σ_2, ... ∈ {1,..., N}$ and any $z ∈ ℝ^n$, the sequence
(2)$F_{σ1}∘...∘ F_{σ_n}(z)$
is convergent and the limit is independent of z. We prove the following converse result: If
(2) is convergent for any $z ∈ ℝ^n$ and any $σ = {σ_1, σ_2,...}$ belonging to some subshift Σ
of N symbols (and the limit is independent of z), then there exists j ≥ 1 such that for every
$σ = {σ_1, σ_2,...} ∈ Σ$ the composition (1) is a contraction. This result can be considered
as a generalization of the main theorem of Daubechies and Lagarias [1], p. 239. The proof
involves some easy but non-trivial combinatorial considerations. The most important tool
is a weighted version of the König Lemma for infinite trees in graph theory
Źródło:
Fundamenta Mathematicae; 1999, 159, 1; 85-90
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Convergence of approximate solutions of variational problems
Autorzy:
Zaslavski, A. J.
Powiązania:
https://bibliotekanauki.pl/articles/970738.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
good function
infinite horizon
integrand
turnpike property
Opis:
We study the structure of approximate solutions of autonomous variational problems on large finite intervals. In our previous research, which was summarized in Zaslavski (2006b), we showed that approximate solutions are determined mainly by the integrand, and are essentially independent of the choice of time interval and data, except in regions close to the endpoints of the time interval. In the present paper we establish convergence of approximate solutions in regions close to the endpoints of the time intervals.
Źródło:
Control and Cybernetics; 2009, 38, 4B; 1607-1629
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The use of complexity hierarchies in descriptive set theory and automata theory
Autorzy:
Andretta, A.
Camerlo, R.
Powiązania:
https://bibliotekanauki.pl/articles/1964199.pdf
Data publikacji:
2005
Wydawca:
Politechnika Gdańska
Tematy:
hierarchies
infinite games
Borel reducibility
automata theory
Opis:
The concept of a reduction between subsets of a given space is described, giving rise to various complexity hierarchies, studied both in descriptive set theory and in automata theory. We discuss in particular the Wadge and Lipschitz hierarchies for subsets of the Baire and Cantor spaces and the hierarchy of Borel reducibility for finitary relations on standard Borel spaces. The notions of Wadge and Lipschitz reductions are related to corresponding perfect information games.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2005, 9, 3; 337-356
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Infinite Elementary Divisor Structure-Preserving Transformations for Polynomial Matrices
Autorzy:
Karampetakis, N. P.
Vologiannidis, S.
Powiązania:
https://bibliotekanauki.pl/articles/908103.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
equivalence
transformation
infinite elementary divisors
autoregressive representations
Opis:
The main purpose of this work is to propose new notions of equivalence between polynomial matrices that preserve both the finite and infinite elementary divisor structures. The approach we use is twofold: (a) the 'homogeneous polynomial matrix approach', where in place of the polynomial matrices we study their homogeneous polynomial matrix forms and use 2-D equivalence transformations in order to preserve their elementary divisor structure, and (b) the `polynomial matrix approach', where some conditions between the 1-D polynomial matrices and their transforming matrices are proposed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 493-503
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some limit distributions for geometric random sums
Autorzy:
Malinowski, Marek
Powiązania:
https://bibliotekanauki.pl/articles/729662.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
random sum
infinite divisibility
semistability
geometric infinite divisibility
geometric stability
geometric semistability
characteristic function
limit distribution
Lévy process
Opis:
We define and give the various characterizations of a new subclass of geometrically infinitely divisible random variables. This subclass, called geometrically semistable, is given as the set of all these random variables which are the limits in distribution of geometric, weighted and shifted random sums. Introduced class is the extension of, considered until now, classes of geometrically stable [5] and geometrically strictly semistable random variables [10]. All the results can be straightforward transfered to the case of random vectors in $ℝ^d$.
Źródło:
Discussiones Mathematicae Probability and Statistics; 2008, 28, 2; 247-266
1509-9423
Pojawia się w:
Discussiones Mathematicae Probability and Statistics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On infinite partitions of lines and space
Autorzy:
Erdös, Paul
Jackson, Steve
Mauldin, R.
Powiązania:
https://bibliotekanauki.pl/articles/1205459.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
transfinite recursion
Martin's Axiom
forcing
geometry
infinite partitions
Opis:
Given a partition P:L → ω of the lines in $ℝ^n$, n ≥ 2, into countably many pieces, we ask if it is possible to find a partition of the points, $Q:ℝ^n → ω$, so that each line meets at most m points of its color. Assuming Martin's Axiom, we show this is the case for m ≥ 3. We reduce the problem for m = 2 to a purely finitary geometry problem. Although we have established a very similar, but somewhat simpler, version of the geometry conjecture, we leave the general problem open. We consider also various generalizations of these results, including to higher dimension spaces and planes.
Źródło:
Fundamenta Mathematicae; 1997, 152, 1; 75-95
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the existence of (k,l)-kernels in infinite digraphs: A survey
Autorzy:
Galeana-Sánchez, H.
Hernández-Cruz, C.
Powiązania:
https://bibliotekanauki.pl/articles/30148241.pdf
Data publikacji:
2014-08-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
kernel
k-kernel
infinite digraph
(k, l)-kernel
Opis:
Let D be a digraph, V (D) and A(D) will denote the sets of vertices and arcs of D, respectively. A (k, l)-kernel N of D is a k-independent (if u, v ∈ N, u 6= v, then d(u, v), d(v, u) ≥ k) and l-absorbent (if u ∈ V (D) − N then there exists v ∈ N such that d(u, v) ≤ l) set of vertices. A k-kernel is a (k, k −1)-kernel. This work is a survey of results proving sufficient conditions for the existence of (k, l)-kernels in infinite digraphs. Despite all the previous work in this direction was done for (2, 1)-kernels, we present many original results concerning (k, l)-kernels for distinct values of k and l. The original results are sufficient conditions for the existence of (k, l)- kernels in diverse families of infinite digraphs. Among the families that we study are: transitive digraphs, quasi-transitive digraphs, right/left pretransitive digraphs, cyclically k-partite digraphs, κ-strong digraphs, k-transitive digraphs, k-quasi-transitive digraphs.
Źródło:
Discussiones Mathematicae Graph Theory; 2014, 34, 3; 431-466
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Turnpike properties of approximate solutions of autonomous variational problems
Autorzy:
Zaslavski, A. J.
Powiązania:
https://bibliotekanauki.pl/articles/969609.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
good function
infinite horizon problem
integrand
turnpike property
Opis:
In this work we study the structure of approximate solutions of autonomous variational problems with vector-valued functions. We are interested in turnpike properties of these solutions, which are independent of the length of the interval, for all sufficiently large intervals. We show that the turnpike properties are stable under small perturbations of integrands.
Źródło:
Control and Cybernetics; 2008, 37, 2; 491-512
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A non-singular description of parametrical resonance
Autorzy:
Romanów, F.
Hańćkowiak, J.
Powiązania:
https://bibliotekanauki.pl/articles/279246.pdf
Data publikacji:
2000
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
stability
infinite chain of equations
truncation
Gibbs phenomenon
Opis:
Employing the Mathieu equations we present a method for construction of Ince-Strutt diagrams, in which no cut-off of the infinite chain of equations for Fourier coefficients is necessary.
Niesingularny opis rezonansu parametrycznego. Na przykładzie równania Mathieu przedstawiamy niesingularną metodę konstrukcji diagramów Incea-Strutta, które obrazują na płaszczyźnie F parametrów równania obszary stabilności i niestabilności. Niesingularność metody została osiągnięta dzięki nie obrywaniu nieskończonych łańcuchów równań dla współczynników Fouriera. Pozwala to na zachowanie pierwotnego charakteru rozważanych równań (zagadnienie początkowe). Przedstawione rozważania sugerują poszerzenie oszarów niestabilności.
Źródło:
Journal of Theoretical and Applied Mechanics; 2000, 38, 4; 879-892
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The order of normalform hypersubstitutions of type (2)
Autorzy:
Denecke, Klaus
Mahdavi, Kazem
Powiązania:
https://bibliotekanauki.pl/articles/728816.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
hypersubstitutions
terms
idempotent elements
elements of infinite order
Opis:
In [2] it was proved that all hypersubstitutions of type τ = (2) which are not idempotent and are different from the hypersubstitution whichmaps the binary operation symbol f to the binary term f(y,x) haveinfinite order. In this paper we consider the order of hypersubstitutionswithin given varieties of semigroups. For the theory of hypersubstitution see [3].
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2000, 20, 2; 183-192
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Well-posedness and stability analysis of hybrid feedback systems using Shkalikovs theory
Autorzy:
Grabowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/254925.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
infinite-dimensional control systems
semigroups
spectral methods
Riesz bases
Opis:
The modern method of analysis of the distributed parameter systems relies on the transformation of the dynamical model to an abstract differential equation on an appropriately chosen Banach or, if possible, Hilbert space. A linear dynamical model in the form of a first order abstract differential equation is considered to be well-posed if its right-hand side generates a strongly continuous semigroup. Similarly, a dynamical model in the form of a second order abstract differential equation is well-posed if its right-hand side generates a strongly continuous cosine family of operators. Unfortunately, the presence of a feedback leads to serious complications or even excludes a direct verification of assumptions of the Hille-Phillips-Yosida and/or the Sova-Fattorini Theorems. The class of operators which are similar to a normal discrete operator on a Hilbert space describes a wide variety of linear operators. In the papers [12, 13] two groups of similarity criteria for a given hybrid closed-loop system operator are given. The criteria of the first group are based on some perturbation results, and of the second, on the application of Shkalikov's theory of the Sturm-Liouville eigenproblems with a spectral parameter in the boundary conditions. In the present paper we continue those investigations showing certain advanced applications of the Shkalikov's theory. The results are illustrated by feedback control systems examples governed by wave and beam equations with increasing degree of complexity of the boundary conditions.
Źródło:
Opuscula Mathematica; 2006, 26, 1; 45-97
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Different Models of Chemotherapy Taking Into Account Drug Resistance Stemming from Gene Amplification
Autorzy:
Śmieja, J.
Świerniak, A.
Powiązania:
https://bibliotekanauki.pl/articles/908161.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
medycyna
automatyka
biomedical modelling
infinite dimensional systems
multivariable control
Opis:
This paper presents an analysis of some class of bilinear systems that can be applied to biomedical modelling. It combines models that have been studied separately so far, taking into account both the phenomenon of gene amplification and multidrug chemotherapy in their different aspects. The mathematical description is given by an infinite dimensional state equation with a system matrix whose form allows decomposing the model into two interacting subsystems. While the first one, of a finite dimension, can have any form, the other is infinite dimensional and tridiagonal. A methodology of the analysis of such models, based on system decomposition, is presented. An optimal control problem is defined in the l1 space. In order to derive necessary conditions for optimal control, the model description is transformed into an integro-differential form. Finally, biomedical implications of the obtained results are discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 297-305
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Strong maximum principles for infinite systems of parabolic differential-functional inequalities with initial constant estimates
Autorzy:
Brandys, Jolanta
Powiązania:
https://bibliotekanauki.pl/articles/745310.pdf
Data publikacji:
2007
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
infinite systems
parabolic differential-functional inequalities
strong maximum principle
Opis:
The purpose of this paper is to present strong maximum principles for infinite systems of parabolic differential-functional inequalities with initial inequalities in relatively arbitrary \((n+1)\)-dimensional time-space sets more general than the cylindrical domain.
Źródło:
Commentationes Mathematicae; 2007, 47, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Constant 2-Labellings And An Application To (R, A, B)-Covering Codes
Autorzy:
Gravier, Sylvain
Vandomme, Èlise
Powiązania:
https://bibliotekanauki.pl/articles/31341603.pdf
Data publikacji:
2017-11-27
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
covering codes
weighted codes
infinite grid
vertex-weighted graphs
Opis:
We introduce the concept of constant 2-labelling of a vertex-weighted graph and show how it can be used to obtain perfect weighted coverings. Roughly speaking, a constant 2-labelling of a vertex-weighted graph is a black and white colouring of its vertex set which preserves the sum of the weights of black vertices under some automorphisms. We study constant 2-labellings on four types of vertex-weighted cycles. Our results on cycles allow us to determine (r, a, b)-codes in $ \mathbb{Z}^2 $ whenever |a − b| > 4, r ≥ 2 and we give the precise values of a and b. This is a refinement of Axenovich’s theorem proved in 2003.
Źródło:
Discussiones Mathematicae Graph Theory; 2017, 37, 4; 891-918
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Second order evolution differential functional equations with infinite delay
Autorzy:
Człapiński, Tomasz
Karpowicz, Adrian
Powiązania:
https://bibliotekanauki.pl/articles/962858.pdf
Data publikacji:
2018
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Measure of noncompactness
second order evolution equation
infinite delay
Opis:
We consider a second order semilinear functional evolution equation with infinite delay in a Banach space. We prove the existence of mild solutions for this equation using the measure of noncompactness technique and the Schauder fixed point theorem.
Źródło:
Commentationes Mathematicae; 2018, 58, 1-2; 93-104
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the convergence of certain integrals
Autorzy:
Hachani, Mohamed Amine
Powiązania:
https://bibliotekanauki.pl/articles/1395940.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Entire functions
Hadamard’s three-circles theorem
infinite integrals
Opis:
Let \(M(r) := \max_{|z|=r} |f(z)|\), where \(f(z)\) is an entire function. Also let \(\alpha> 0\) and \(\beta>1\). We discuss the behavior of the integrand \(M(r)e^{-\alpha(log r)^\beta}\) as \(r \to \infty\) if \(\int_1^\infty M(r)e^{-\alpha(log r)^\beta}dr\) is convergent.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2019, 73, 1
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence results for Kirchhoff type systems with singular nonlinearity
Autorzy:
Firouzjai, A.
Afrouzi, G. A.
Talebi, S.
Powiązania:
https://bibliotekanauki.pl/articles/254877.pdf
Data publikacji:
2018
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
sub-supersolution
infinite semipositone systems
singular weights
Kirchhoff-type
Opis:
Using the method of sub-super solutions, we study the existence of positive solutions for a class of singular nonlinear semipositone systems involving nonlocal operator.
Źródło:
Opuscula Mathematica; 2018, 38, 2; 187-199
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Extensão e infinito em Hilbert: pela filosofia da matemática
Autorzy:
Borges de Meneses, Ramiro Délio
Czarnecki, Paweł
Powiązania:
https://bibliotekanauki.pl/articles/2130398.pdf
Data publikacji:
2019
Wydawca:
Instytut Studiów Międzynarodowych i Edukacji Humanum
Tematy:
Continuity
Infinite
Hilbert
Cantor
Masthematical Analysis
and logical foundations
Opis:
According to Hilbert the infinite and extension are a regular idea, and a very important role in mat- hematics plays, because there are new possibilities according to logic foundations and philosophical implications to the infinite languages, from mathematic to philosophy by the Hilbert’s formalism.
Źródło:
Humanum. Międzynarodowe Studia Społeczno-Humanistyczne; 2019, 2 (33); 19-30
1898-8431
Pojawia się w:
Humanum. Międzynarodowe Studia Społeczno-Humanistyczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Arithmetically maximal independent sets in infinite graphs
Autorzy:
Bylka, Stanisław
Powiązania:
https://bibliotekanauki.pl/articles/744334.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
infinite graph
independent set
arithmetical maximal set
line graph
Opis:
Families of all sets of independent vertices in graphs are investigated. The problem how to characterize those infinite graphs which have arithmetically maximal independent sets is posed. A positive answer is given to the following classes of infinite graphs: bipartite graphs, line graphs and graphs having locally infinite clique-cover of vertices. Some counter examples are presented.
Źródło:
Discussiones Mathematicae Graph Theory; 2005, 25, 1-2; 167-182
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
O infinito segundo Hilbert: da análise matemática à filosofia
Autorzy:
Borges de Meneses, Ramiro Délio
Powiązania:
https://bibliotekanauki.pl/articles/2134346.pdf
Data publikacji:
2014
Wydawca:
Instytut Studiów Międzynarodowych i Edukacji Humanum
Tematy:
continuity
infinite
Hilbert
Cantor
mathematical analysis
and logical foundations
Opis:
According to Hilbert the infinite is a regular idea, and a very important role in mathematics plays, because there are new possibilities according to logic foundations and philosophical implications to the infinite languages, from mathematic to philosophy by the Hilbert’s formalism.
Źródło:
Humanum. Międzynarodowe Studia Społeczno-Humanistyczne; 2014, 1(12); 5-18
1898-8431
Pojawia się w:
Humanum. Międzynarodowe Studia Społeczno-Humanistyczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Giuseppe Veronesego konstruktywizm arytmetyczny a poznawalność nieskończoności. Studium wybranych wątków filozofii matematyki we wprowadzeniu do Grundzüge der Geometrie von mehreren Dimensionen
Giuseppe Veronese’s Arithmetical Constructivism and the Cognizability of Infinity: A Study of Selected Aspects of the Philosophy of Mathematics in the Introduction to Grundzüge der Geometrie von mehreren Dimensionen
Autorzy:
Dadaczyński, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/38429160.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Warszawski. Wydział Filozofii
Tematy:
Giuseppe Veronese
constructivism
natural numbers
infinity
infinite sequences
cognizability
Opis:
In the first part of the article, Giuseppe Veronese’s concept of arithmetical constructivism is reconstructed from his dispersed remarks. It is pointed out that although for Veronese time is a necessary condition for the construction of natural numbers by an individual subject and the subject cognizes time in an a priori way, it is not a (proto-)intuition of the subject. This is a fundamental difference between the concept proposed by Veronese and the constructivism of Kant and Brouwer. Veronese’s justification of the subject’s ability to cognize infinity, represented in his text by infinite sequences, is analyzed in the second part of the paper. The only condition for the cognition of the infinite sequence is to have a rule according to which its successive terms “follow one another.” The price of the ability to cognize the infinitive “whole” (sequence) may be the uncognizability of certain “parts” (terms of sequence). Infinite sequences, cognizable according to Veronese, are allowed as objects of mathematical research, although they do not meet the condition of constructability.
Źródło:
Filozofia Nauki; 2022, 30, 3; 33-50
1230-6894
2657-5868
Pojawia się w:
Filozofia Nauki
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The linear programming approach to deterministic optimal control problems
Autorzy:
Hernández-Hernández, Daniel
Hernández-Lerma, Onésimo
Taksar, Michael
Powiązania:
https://bibliotekanauki.pl/articles/1339290.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
linear programming (in infinite-dimensional spaces)
duality theory
optimal control
Opis:
Given a deterministic optimal control problem (OCP) with value function, say $J^*$, we introduce a linear program $(P)$ and its dual $(P^*)$ whose values satisfy $\sup(P^*) \leq\inf(P)\leq J^*(t,x)$. Then we give conditions under which (i) there is no duality gap
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 1; 17-33
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of Fredholm integrodifferential equation for an infinite elastic plate
Autorzy:
El-Bary, Alaa
Powiązania:
https://bibliotekanauki.pl/articles/729513.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
integrodifferential equation
Cauchy method
complex variable
infinite plate
curvilinear hole
Opis:
Many authors discussed the problem of an elastic infinite plate with a curvilinear hole, some of them considered this problem in z-plane and the others in the s-plane. They obtained an exact expression for Goursat's functions for the first and second fundamental problem. In this paper, we use the Cauchy integral method to obtain a solution to the first and second fundamental problem by using a new transformation. Some applications are investigated and also some special cases are discussed.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2004, 24, 1; 5-11
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Adaptive compensators for pertrubed positive real infinite-dimensional systems
Autorzy:
Curtain, R. F.
Demetriou, M. A.
Ito, K.
Powiązania:
https://bibliotekanauki.pl/articles/908105.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
infinite dimensional systems
positive real systems
adaptive controllers
Opis:
The aim of this investigation is to construct an adaptive observer and an adaptive compensator for a class of infinite-dimensional plants having a known exogenous input and a structured perturbation with an unknown constant parameter, such as the case of static output feedback with an unknown gain. The adaptive observer uses the nominal dynamics of the unperturbed plant and an adaptation law based on the Lyapunov redesign method. We obtain conditions on the system to ensure uniform boundedness of the estimator dynamics and the parameter estimates, and the convergence of the estimator error. For the case of a known periodic exogenous input we design an adaptive compensator which forces the system to converge to a unique periodic solution. We illustrate our approach with a delay example and a diffusion example for which we obtain convincing numerical results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 441-452
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Transmission problems for the Helmholtz equation for a rectilinear-circular lune
Autorzy:
Denysenko, V.
Powiązania:
https://bibliotekanauki.pl/articles/255476.pdf
Data publikacji:
2007
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Helmholtz equation
transmission problem
infinite system of linear algebraic equations
Opis:
The question related to the construction of the solution of plane transmission problem for the Helmholtz equation in a rectilinear-circular lune is considered. An approach is proposed based on the method of partial domains and the principle of reflection for the solutions of the Helmholtz equation through the segment.
Źródło:
Opuscula Mathematica; 2007, 27, 2; 197-203
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Cantor on Infinitesimals. Historical and Modern Perspective
Autorzy:
Błaszczyk, Piotr
Fila, Marlena
Powiązania:
https://bibliotekanauki.pl/articles/750052.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
infinitesimals
infinite numbers
real numbers
hyperreals
ordinal numbers
Conway numbers
Opis:
In his 1887's Mitteilungen zur Lehre von Transfiniten, Cantor seeks to prove inconsistency of infinitesimals. We provide a detailed analysis of his argument from both historical and mathematical perspective. We show that while his historical analysis are questionable, the mathematical part of the argument is false.
Źródło:
Bulletin of the Section of Logic; 2020, 49, 2
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A comparative analysis of (s, Q) and (s, S) ordering policies in a queuing-inventory system with stock-dependent arrival and queue-dependent service process
Autorzy:
Sugapriya, Chandrasekaran
Nithya, Murugesan
Jeganathan, Kathirvel
Selvakumar, Subramanian
Harikrishnan, Thanushkodi
Powiązania:
https://bibliotekanauki.pl/articles/27315339.pdf
Data publikacji:
2023
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
stock-dependent arrival
queue-dependent service
infinite waiting hall
ordering principles
Opis:
This article deals with a Markovian queuing-inventory system (MQIS) under the stochastic modeling technique. The arrival stream of this system is dependent on the present stock level at an instant. Meanwhile, the system focuses on reducing the waiting time of a unit by assuming a queue-dependent service policy (QDSP). The system consists of an infinite waiting hall to receive an arriving unit. The MQIS assumes that no unit of arrival is allowed when the stock level of the system is empty. The discussion of this MQIS runs over the two types of ordering principles named 1) (s, Q) 2) (s, S). According to both ordering principles, the assumed arrival and service patterns have been considered separately and classified as Model-I (M-I) and Model-II (M-II) respectively. The steady state of the system for both M-I and M-II is analysed and resolved under the Neuts matrix-geometric technique. The system performance measures of the system are also computed. The expected cost function of both M-I and M-II are constructed as well. Further, the necessary numerical illustrations are provided and distinguished for M-I and M-II to explore the proposed model. This paper finds the optimum ordering policy to execute the stock-dependent arrival and queue-dependent service strategies.
Źródło:
Operations Research and Decisions; 2023, 33, 2; 121--153
2081-8858
2391-6060
Pojawia się w:
Operations Research and Decisions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Study of the anti-plane problem of a Dugdale-Barenblatt crack in a welded strip using the integral equation method
Autorzy:
Chaouche, Amine Brick
Ferdjani, Hicheme
Tala-Ighil, Nacer
Powiązania:
https://bibliotekanauki.pl/articles/279531.pdf
Data publikacji:
2019
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
crack
Dugdale-Barenblatt model
weld joint
singular integral equation
infinite strip
Opis:
The elasto-static anti-plane problem of a Dugdale-Barenblatt crack in a welded infinite strip is formulated in terms of a singular integral equation (SIE). The weld joint is modeled as a tri-material structure: the weld metal (WM), the base metal (BM) and the heat-affected zone (HAZ). The HAZ is modeled with an exponentially variable shear modulus. The SIE is solved using Tchebychev polynomials. The influence of the elastic mismatching (the ratio between the shear modulus of WM and BM) and width of the HAZ on the fracture load and on the crack propagation is investigated.
Źródło:
Journal of Theoretical and Applied Mechanics; 2019, 57, 2; 475-487
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Monotone iteration for infinite systems of parabolic equations
Autorzy:
Pudełko, A.
Powiązania:
https://bibliotekanauki.pl/articles/255193.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
infinite systems
parabolic equations
Cauchy problem
monotone iteration method
differentail inequality
Opis:
In the paper the Cauchy problem for and infinite system of parabolic type equations is studied. The general operators of the parabolic type of second order with variable coefficients are considered and the system is weakly coupled. Among the obtained results there is a theorem on differential inequality as well as the existence and uniqueness theorem in the class of continuous-bounded functions obtained by monotone iterative method.
Źródło:
Opuscula Mathematica; 2005, 25, 2; 307-318
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Relationship Between the Infinite Eigenvalue Assignment for Singular Systems and the Solvability of Polynomial Matrix Equations
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/908199.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
automatyka
robotyka
assignment
infinite eigenvalue
singular
polynomial matrix equation
system
reliationship
Opis:
Two related problems, namely the problem of the infinite eigenvalue assignment and that of the solvability of polynomial matrix equations are considered. Necessary and sufficient conditions for the existence of solutions to both the problems are established. The relationships between the problems are discussed and some applications from the field of the perfect observer design for singular linear systems are presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 161-167
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A game-theoretic model of social adaptation in an infinite population
Autorzy:
Wieczorek, A.
Wiszniewska, A.
Powiązania:
https://bibliotekanauki.pl/articles/1338932.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
prey-predator game
social adaptation
equilibrated distribution
infinite population
iterative process
Opis:
The paper deals with the question of existence and properties of equilibrated distributions of individual characteristics in an infinite population. General game-theoretic methods are applied and special attention is focused on the case of fitness functions depending only on the distance of an individual characteristic from a reference point and from the mean characteristics. Iterative procedures leading to equilibrated distributions are also considered.
Źródło:
Applicationes Mathematicae; 1998-1999, 25, 4; 417-430
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A relaxation theorem for partially observed stochastic control on Hilbert space
Autorzy:
Ahmed, N.
Powiązania:
https://bibliotekanauki.pl/articles/729417.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
partially observed control
infinite dimensional Hilbert space
relaxed controls
Zakai equation
Opis:
In this paper, we present a result on relaxability of partially observed control problems for infinite dimensional stochastic systems in a Hilbert space. This is motivated by the fact that measure valued controls, also known as relaxed controls, are difficult to construct practically and so one must inquire if it is possible to approximate the solutions corresponding to measure valued controls by those corresponding to ordinary controls. Our main result is the relaxation theorem which states that the set of solutions corresponding to ordinary controls is weakly dense in the set of solutions corresponding to relaxed controls. This is presented in Theorem 5.3 after giving some existence results on optimal controls for the infinite dimensional Zakai equation used for its proof.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 2; 295-314
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control of ∞-dimensional stochastic systems via generalized solutions of HJB equations
Autorzy:
Ahmed, N.
Powiązania:
https://bibliotekanauki.pl/articles/729348.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
optimal control
stochastic systems
infinite dimension
HJB equation
stationary feedback control
Opis:
In this paper, we consider optimal feedback control for stochastc infinite dimensional systems. We present some new results on the solution of associated HJB equations in infinite dimensional Hilbert spaces. In the process, we have also developed some new mathematical tools involving distributions on Hilbert spaces which may have many other interesting applications in other fields. We conclude with an application to optimal stationary feedback control.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 1; 97-126
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Thermal stresses around two upper cracks placed symmetrically about a lower crack in an infinite orthotropic plane under uniform heat flux
Autorzy:
Itou, S
Powiązania:
https://bibliotekanauki.pl/articles/279201.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
heat flux
three parallel cracks
stress intensity factor
infinite orthotropic plane
Opis:
Two upper collinear cracks are placed parallel to a lower crack in an infinite orthotropic plane under uniform heat flux perpendicular to the cracks. The surfaces of the cracks are assumed to be thermally insulated. The mixed boundary value conditions with respect to the temperature field and those with respect to the stress field are reduced to dual integral equations using the Fourier transform technique. In order to satisfy the boundary conditions outside the cracks, the differences in temperature and displacement at each crack surface are expanded in a series of functions that are zero outside the cracks. The unknown coefficients in each series are evaluated using the Schmidt method. The stress intensity factors are then calculated numerically for selected crack configurations.
Źródło:
Journal of Theoretical and Applied Mechanics; 2014, 52, 3; 617-628
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solutions of vibration problems for thin infinite plates subjected to harmonic loads
Autorzy:
Klanner, M.
Ellermann, K.
Powiązania:
https://bibliotekanauki.pl/articles/281616.pdf
Data publikacji:
2017
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
Kirchhoff plate theory
infinite plate
ring load
circular load
Hankel transform
Opis:
New closed form solutions for harmonic vibrations of infinite Kirchhoff plates subjected to a constant harmonic ring load, a constant harmonic circular load and an alternating harmonic circular load are derived. Two different approaches are used to define the closed form solutions. The first approach uses the integration of the harmonic point force and the addition theorem for Bessel functions, while the second approach applies the Hankel transform to solve the inhomogeneous partial differential equation of the Kirchhoff plate theory. The new closed form particular solutions can especially be used in Trefftz like methods and extend their field of application.
Źródło:
Journal of Theoretical and Applied Mechanics; 2017, 55, 3; 949-961
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Composite semi-infinite optimization
Autorzy:
Dentcheva, D.
Ruszczyński, A.
Powiązania:
https://bibliotekanauki.pl/articles/970266.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
semi-infinite optimization
nonsmooth optimization
composite optimization
stochastic programming
stochastic dominance
Opis:
We consider a semi-infinite optimization problem in Banach spaces, where both the objective functional and the constraint operator are compositions of convex nonsmooth mappings and differentiable mappings. We derive necessary optimality conditions for these problems. Finally, we apply these results to non-convex stochastic optimization problems with stochastic dominance constraints, generalizing earlier results.
Źródło:
Control and Cybernetics; 2007, 36, 3; 633-646
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Determination of the optode array representation using optical properties at systole and diastole
Autorzy:
Jumadi, N A
Beng, G K
Mohd-Ali, M. A.
Zahedi, E
Powiązania:
https://bibliotekanauki.pl/articles/173805.pdf
Data publikacji:
2013
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
optical simulation
optical properties
optode array
semi-infinite tissue layer
statistical
analysis
Opis:
The necessity to develop an optode array in order to probe the fetus oxygenation noninvasively regardless of the fetus position has been highlighted in previous literature. In this paper, a series of optical simulations are carried out to determine the best representation of optode array by using optical properties at systolic and diastolic states. The selection is based on the highest flux values accumulated at respective detectors. To accomplish the objective, a homogenous three-layer semi-infinite tissue model is implemented to represent the pregnant woman model. The geometry of the model as well as Monte Carlo simulation are carried out using commercial software, whereas the optical properties related to systolic and diastolic states are defined for all wavelengths. A statistical noise analysis is also introduced in order to find a sufficient number of rays to be launched into the optical tissue system.
Źródło:
Optica Applicata; 2013, 43, 4; 747-759
0078-5466
1899-7015
Pojawia się w:
Optica Applicata
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Every reasonably sized matrix group is a subgroup of $S_∞$
Autorzy:
Kallman, Robert
Powiązania:
https://bibliotekanauki.pl/articles/1205071.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
infinite symmetric group
matrix groups
nonarchimedian absolute values
field extensions
topological groups
Opis:
Every reasonably sized matrix group has an injective homomorphism into the group $S_∞$ of all bijections of the natural numbers. However, not every reasonably sized simple group has an injective homomorphism into $S_∞$.
Źródło:
Fundamenta Mathematicae; 2000, 164, 1; 35-40
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
ZnO films: propeties determined by electronic microscopy and ellipsometry
Autorzy:
Rakov, M.
Poperenko, L.
Tkach, V.
Yurgelevich, I.
Powiązania:
https://bibliotekanauki.pl/articles/385183.pdf
Data publikacji:
2009
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
reactive magnetron sputtering
Beattie’s method
semi-infinite medium
AFM
SEM
nanostructures
Opis:
Zinc oxide is a good material for application in nanoand optoelectronics due to its notable features, for example, large band gap. In this work ZnO films deposited by reactive magnetron sputtering at various pressure of residual gases and different temperatures of the substrate are investigated. The spectral dependences of ellipsometric parameters and of the films are determined by ellipsometry. The effective values of optical constants and are calculated. The roughness and the texture of the surfaces are obtained by Atomic-Force Microscopy (AFM) and Scanning Electronic Microscopy (SEM). One indicates that the refractive index decreases when reducing the pressure of residual gases, and the roughness decreases when elevating the temperature of the substrate. Thus, the behavior of some properties of the films at various conditions of deposition is determined.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2009, 3, 4; 112-114
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Circle criterion and boundary control systems in factor form: input-output approach
Autorzy:
Grabowski, P.
Callier, F. M.
Powiązania:
https://bibliotekanauki.pl/articles/908133.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ sterowania
przepływy międzygałęziowe
infinite dimensional control systems
semigroups
input-output relations
Opis:
A circle criterion is obtained for a SISO Lur'e feedback control system consisting of a nonlinear static sector-type controller and a linear boundary control system in factor form on an infinite-dimensional Hilbert state space H previously introduced by the authors (Grabowski and Callier, 1999). It is assumed for the latter that (a) the observation functional is infinite-time admissible, (b) the factor control vector satisfies a compatibility condition, and (c) the transfer function belongs to Hinfty(Pi+) and satisfies a frequency-domain inequality of the circle criterion type. We also require that the closed-loop system be well-posed, i.e. for any initial state x0in H the truncated input and output signals uT, yT belong to L2(0,T) for any T>0. The technique of the proof adapts Desoer-Vidyasagar's circle criterion method (Desoer and Vidyasagar, 1975, Ch.3, Secs.1 and 2, pp.37-43, Ch.5, Sec.2, pp.139-142 and Ch.6, Secs.3 and 4, pp.172-174]), and uses the input-output map developed by the authors (Grabowski and Callier, 2001). The results are illustrated by two transmission line examples: (a) that of the loaded distortionless RLCG type, and (b) that of the unloaded RC type. The conclusion contains a discussion on improving the results by the loop-transformation technique.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1387-1403
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A non integer order, state space model for one dimensional heat transfer proces
Autorzy:
Oprzedkiewicz, K.
Gawin, E.
Powiązania:
https://bibliotekanauki.pl/articles/229619.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
non-integer order systems
heat transfer process
diffusion equation
infinite dimensional systems
Opis:
In the paper a new, state space, non integer order model for one dimensional heat transfer process is presented. The model is based on known semigroup model. The derivative with respect to time is described by the non integer order Caputo operator, the spatial derivative is described by integer order operator. The elementary properties of the state operator are proven. The solution of state equation is calculated with the use of Laplace transform. Results of experiments show, that the proposed model is more accurate than analogical integer order model in the sense of square cost function.
Źródło:
Archives of Control Sciences; 2016, 26, 2; 261-275
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison between two approaches to modeling microsatellite DNA repeats: infinite dimensional model and its n-dimensional
Autorzy:
Białka, M.
Powiązania:
https://bibliotekanauki.pl/articles/229939.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
infinite-dimensional systems
asymptotic stability
chain systems
microsatellites DNA repeats
polymerase slippage
Opis:
Two approaches to modeling microsatellite DNA repeats are considered. The former is an infinite dimensional system based on the theory of branching random walks which dynamic properties are characterized using Laplace transforms and Laplace asymptotic techniques. The latter is an n-dimensional approximation where microsatellite DNA repeats model is the example of a chain system. Both models were the subject of many numerical calculations using the MATLAB software. The results allow us to evaluate the asymptotic behavior and determine the effect of the system parameters on the run of the solution and the state variables.
Źródło:
Archives of Control Sciences; 2011, 21, 4; 419-441
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence and controllability of fractional-order impulsive stochastic system with infinite delay
Autorzy:
Guendouzi, Toufik
Powiązania:
https://bibliotekanauki.pl/articles/729324.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
existence result
approximate controllability
fractional stochastic differential equations
resolvent operators
infinite delay
Opis:
This paper is concerned with the existence and approximate controllability for impulsive fractional-order stochastic infinite delay integro-differential equations in Hilbert space. By using Krasnoselskii's fixed point theorem with stochastic analysis theory, we derive a new set of sufficient conditions for the approximate controllability of impulsive fractional stochastic system under the assumption that the corresponding linear system is approximately controllable. Finally, an example is provided to illustrate the obtained theory.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 1; 65-87
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical treatment for thermoelastic plate with a curvilinear hole in S-plane
Autorzy:
El-Bary, Alaa
Powiązania:
https://bibliotekanauki.pl/articles/729568.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
infinite plate
Cauchy integral
first and second fundamental problems
integro-differential equation
Opis:
The Cauchy integral method has been applied to derive exact and closed expressions for Goursat's functions for the first and second fundamental problems for an infinite thermoelastic plate weakened by a hole having arbitrary shape. The plate considered is conformally mapped to the area of the right half-plane. Many previous discussions of various authors can be considered as special cases of this work. The shape of the hole being an ellipse, a crescent, a triangle, or a cut having the shape of a circular arc are included as special cases.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2006, 26, 1; 77-86
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Origins of the Very First Principle as Infinite: The Hierarchy of the Infinite in Damascius and Pseudo-Dionysius the Areopagite
Autorzy:
Ottobrini, Tiziano F.
Powiązania:
https://bibliotekanauki.pl/articles/633541.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:
Damascius
Dionysius the Areopagite
infinite
One
principle
theology
metaphysics
apophatic
Melissus
Proclus
Opis:
This paper discusses the theoretical relationship between the views of Damascius and those of Pseudo-Dionysius the Areopagite. While Damascius’ De principiis is a bold treatise devoted to investigating the hypermetaphysics of apophatism, it anticipates various theoretical positions put forward by Dionysius the Areopagite. The present paper focuses on the following. First, Damascius is the only ancient philosopher who systematically demonstrates the first principle to be infinite (traditional Greek thought tended to regard the arkhē as finite). Second, Damascius modifies the concept and in several important passages shows the infinite to be superior and prior to the finite (previously this assumption was held only by Melissus and, sporadically, by Gregory of Nyssa and Plotinus). Third, Damascius’ theory of being (infinite, endless and ultrarational) is the strongest ancient articulation of the nature of the One which is a clear prefiguration of the negative theology developed by Dionysius the Areopagite.
Źródło:
Peitho. Examina Antiqua; 2019, 10, 1; 133-152
2082-7539
Pojawia się w:
Peitho. Examina Antiqua
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wavelet approximation of Adomian’s decomposition applied to the nonlinear problem of a double-beam response subject to a series of moving loads
Autorzy:
Koziol, P
Powiązania:
https://bibliotekanauki.pl/articles/279493.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
infinite double-beam
nonlinear problem
Adomian’s decomposition
coiflet approximation
moving load
Opis:
The dynamic response of a double-beam resting on a nonlinear viscoelastic foundation and subjected to a finite series of moving loads is analysed. The beams are connected by a viscoelastic layer and the load moving along the upper beam represents motion of a train on the rail track. The mathematical model is described by a coupled system of fourth order partial differential equations with homogeneous boundary conditions. The nonlinearity is included in the foundation stiffness of medium supporting a lower beam. The coiflet based approximation combined with Adomian’s decomposition is adopted for the displacements derivation. The developed approach allows one to overcome difficulties related to direct calculation of Fourier integrals as well as the small parameter method. The conditions for correctness of the approximate solution are defined. The influence of some factors on the system sensitivity is discussed, with special focus on the distance between the separated loads. Numerical examples are presented for a certain system of physical parameters.
Źródło:
Journal of Theoretical and Applied Mechanics; 2014, 52, 3; 687-697
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Infinite-Valued Łukasiewicz Logic and Probability
Autorzy:
Czelakowski, Janusz
Powiązania:
https://bibliotekanauki.pl/articles/749934.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
Tematy:
probability
cumulative distribution function
the infinite-valued standard Łukasiewicz algebra
consequence relation
Opis:
The paper concerns the algebraic structure of the set of cumulative distribution functions as well as the relationship between the resulting algebra and the infinite-valued Łukasiewicz algebra. The paper also discusses interrelations holding between the logical systems determined by the above algebras.
Źródło:
Bulletin of the Section of Logic; 2017, 46, 1/2
0138-0680
2449-836X
Pojawia się w:
Bulletin of the Section of Logic
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Distinguishing Cartesian Products of Countable Graphs
Autorzy:
Estaji, Ehsan
Imrich, Wilfried
Kalinowski, Rafał
Pilśniak, Monika
Tucker, Thomas
Powiązania:
https://bibliotekanauki.pl/articles/31342144.pdf
Data publikacji:
2017-02-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
vertex coloring
distinguishing number
automorphisms
infinite graphs
Cartesian and weak Cartesian product
Opis:
The distinguishing number D(G) of a graph G is the minimum number of colors needed to color the vertices of G such that the coloring is preserved only by the trivial automorphism. In this paper we improve results about the distinguishing number of Cartesian products of finite and infinite graphs by removing restrictions to prime or relatively prime factors.
Źródło:
Discussiones Mathematicae Graph Theory; 2017, 37, 1; 155-164
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
QoS Equalization in a W-CDMA Cell Supporting Calls of Innite or Finite Sources with Interference Cancelation
Autorzy:
Moscholios, I. D.
Kallos, G. A.
Katsiva, M. A.
Vassilakis, V. G.
Logothetis, M. D.
Powiązania:
https://bibliotekanauki.pl/articles/308455.pdf
Data publikacji:
2014
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
bandwidth reservation
infinite sources
finite sources
recursive formula
time-call congestion probabilities
WCDMA
Opis:
In this paper, a multirate loss model for the calculation of time and call congestion probabilities in a Wideband Code Division Multiple Access (W-CDMA) cell is considered. It utilizes the Bandwidth Reservation (BR) policy and supports calls generated by an infinite or finite number of users. The BR policy achieves QoS equalization by equalizing congestion probabilities among calls of dierent service-classes. In the proposed models a multiple access interference is considered, and the notion of local blocking, user's activity and interference cancelation. Although the analysis of the proposed models reveals that the steady state probabilities do not have a product form solution, the authors show that the calculation of time and call congestion probabilities can be based on approximate but recursive formulas, whose accuracy is verified through simulation and found to be quite satisfactory.
Źródło:
Journal of Telecommunications and Information Technology; 2014, 3; 63-70
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence of solutions of the Dirichlet problem for an infinite system of nonlinear differential-functional equations of elliptic type
Autorzy:
Zabawa, T.S.
Powiązania:
https://bibliotekanauki.pl/articles/255205.pdf
Data publikacji:
2005
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
infinite systems
elliptic differential-functional equations
monotone iterative technique
Chaplygin's method
Dirichlet problem
Opis:
The Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations of elliptic type is considered. It is shown the existence of solutions to this problem. The result is based on Chaplygin's method of lower and uper functions.
Źródło:
Opuscula Mathematica; 2005, 25, 2; 333-343
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Infinite eigenvalue assignment by an output feedback for singular systems
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/907319.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
przyporządkowanie wartości własnych
sprzężenie zwrotne
układ singularny
infinite eigenvalue assignment
feedback
singular system
Opis:
The problem of an infinite eigenvalue assignment by an output feedback is considered. Necessary and sufficient conditions for the existence of a solution are established. A procedure for the computation of the output-feedback gain matrix is given and illustrated with a numerical example.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 1; 19-23
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Controllability of a class of infinite dimensional systems with age structure
Autorzy:
Maity, Debayan
Tucsnak, Marius
Zuazua, Enrique
Powiązania:
https://bibliotekanauki.pl/articles/1839149.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
infinite dimensional linear system
age structure
admissible control operator
null controllability
population dynamics
Opis:
Given a linear dynamical system, we investigate the linear infinite dimensional system obtained by grafting an age structure. Such systems appear essentially in population dynamics with age structure when phenomena like spatial diffusion or transport are also taken into consideration. We first show that the new system preserves some of the wellposedness properties of the initial one. Our main result asserts that if the initial system is null controllable in a time small enough then the structured system is also null controllable in a time depending on the various involved parameters.
Źródło:
Control and Cybernetics; 2019, 48, 2; 231-260
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Using PWE/FE Method to Calculate the Band Structures of the Semi-Infinite PCs : Periodic in x-y Plane and Finite in z–direction
Autorzy:
Qian, D.
Shi, Z.
Powiązania:
https://bibliotekanauki.pl/articles/176974.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
semi-infinite phononic crystal
coupled plane wave expansion
finite element method
band structure
Opis:
This paper introduces the concept of semi-infinite phononic crystal (PC) on account of the Infinite periodicity in x-y plane and finiteness in z-direction. The plane wave expansion and finite element methods are coupled and formulized to calculate the band structures of the proposed periodic elastic composite structures based on the typical geometric properties. First, the coupled plane wave expansion and finite element (PWE/FE) method is applied to calculate the band structures of the Pb/rubber, steel/epoxy and steel/aluminum semi-infinite PCs with cylindrical scatters. Then, it is used to calculate the band structure of the Pb/rubber semi-infinite PC with cubic scatter. Last, the band structure of the rubbercoated Pb/epoxy three-component semi-infinite PC is calculated by the proposed method. Besides, all the results are compared with those calculated by the finite element (FE) method implemented by adopting COMSOL Multiphysics. Numerical results and further analysis demonstrate that the proposed PWE/FE method has strong applicability and high accuracy.
Źródło:
Archives of Acoustics; 2017, 42, 4; 735-742
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Predictive-SVM control method dedicated to an AC/DC converter with an LCL grid filter
Autorzy:
Dmitruk, K.
Powiązania:
https://bibliotekanauki.pl/articles/200760.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
three-phase voltage converter
model predictive control
space vector modulation
infinite control set
Opis:
This paper presents simulation and laboratory test results of an implementation of an infinite control set model predictive control into a three-phase AC/DC converter. The connection between the converter and electric grid is made through an LCL filter, which is characterized by a better reduction of grid current distortions and smaller (cheaper) components in comparison to an L-type filter. On the other hand, this type of filter can cause strong resonance at specific current harmonics, which is efficiently suppressed by the control strategy focusing on the strict control input filter capacitors voltage vector. The presented method links the benefits of using linear control methods based on a space vector modulator and the nonlinear ones, which result in excellent control performance in a steady state as well as in a transient state.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 5; 1049-1056
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate controllability of second order infinite dimensional systems
Autorzy:
Klamka, Jerzy
Khurshudyan, Asatur Zh.
Powiązania:
https://bibliotekanauki.pl/articles/1409079.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
infinite dimensional systems
approximate controllability
Green’s function approach
flexible Kirchhoff–Love plate
Opis:
In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented. Next, using functional analysis methods and concepts, specially spectral methods and theory of unbounded linear operators, necessary and sufficient conditions for approximate controllability are formulated and proved. General result may be used in approximate controllability verification of second order dynamical system using known conditions for approximate controllability of first order system. As illustrative example using Green function approach approximate controllability of distributed dynamical system is also discussed.
Źródło:
Archives of Control Sciences; 2021, 31, 1; 165-184
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The density theorem for the actions of I.L.H.-Lie groups
Autorzy:
Kondracki, Witold
Kozak, Michał
Powiązania:
https://bibliotekanauki.pl/articles/748519.pdf
Data publikacji:
1991
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
Group structures and generalizations on infinite-dimensional manifolds
Groups acting on specific manifolds
Opis:
.
The density theorem for the action of I.L.H.-Lie group G on the I.L.H.-manifold M is proved i.e. it was shown that the stratum with trivial isotropy group is open and dense subset of M.
Źródło:
Mathematica Applicanda; 1991, 19, 33
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Note on radiation conditions for narrow-band random waves generated in fluid of constant depth
Autorzy:
Szmidt, J. K.
Powiązania:
https://bibliotekanauki.pl/articles/241111.pdf
Data publikacji:
2001
Wydawca:
Polska Akademia Nauk. Instytut Budownictwa Wodnego PAN
Tematy:
radiation conditions
narrow-band random waves
semi-infinite layer
fluids
finite difference method
Opis:
In the paper, the generation of narrow-band random waves in a semi-infinite layer of fluid is considered. The problem is formulated in a discrete space of chosen points by means of the finite difference method. The main goal of the investigations is to construct radiation boundary conditions which enable us to replace the infinite fluid area with a finite domain. The investigations are illustrated with experimental results and numerical examples confirming efficiency of the discrete model developed in the paper.
Źródło:
Archives of Hydro-Engineering and Environmental Mechanics; 2001, 48, 4; 39-55
1231-3726
Pojawia się w:
Archives of Hydro-Engineering and Environmental Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Paradox of Freedom in the Theodramatic Reflection of Hans Urs von Balthasar against the Background of the Thought of Henri de Lubac and Józef Tischner
Autorzy:
Wołowski, Lech Bolesław
Powiązania:
https://bibliotekanauki.pl/articles/2088008.pdf
Data publikacji:
2022-06-10
Wydawca:
Katolicki Uniwersytet Lubelski Jana Pawła II
Tematy:
paradox
finite freedom
infinite freedom
Han Urs von Balthasar
Henri de Luback
Józef Tischner
Opis:
The article examines the paradoxicality of the notion of freedom in the theodramatic approach of Hans Urs von Balthasar. The main subject concerns the paradox of finite and infinite freedom and their relationship described in the second volume of Theo-Drama. The thought of the Swiss theologian is compared with the reflections of Henri de Lubac and Józef Tischner. The confrontation of their approaches in the context of the chosen topic made it possible to apply a new research method. Instead of the dialectical method, typically used in this context, a method concentrated on identifying the paradox and exploring the mystery behind it has been applied. This approach has led to a deeper understanding of the key role of the dynamical nature of finite freedom and has indicated the importance of proper identification of its source. It has allowed also displaying the inalienable nature of the Christological dimension to understand correctly the concept of infinite freedom and the most important feature of its essence. Finally, it has also helped to gain an in-depth insight into the conditions regarding the possibility of a genuine, though not symmetrical, relationship between the two freedoms.
Źródło:
Verbum Vitae; 2022, 40, 2; 303-333
1644-8561
2451-280X
Pojawia się w:
Verbum Vitae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An Ontology for the In-Between of Motion: Aristotle’s Reaction to Zeno’s Arguments
Autorzy:
Crubellier, Michel
Powiązania:
https://bibliotekanauki.pl/articles/2016355.pdf
Data publikacji:
2021-12-13
Wydawca:
Uniwersytet im. Adama Mickiewicza w Poznaniu
Tematy:
Aristotle
Aristotle’s Physics
change. continuous
dialectic
infinite
motion
ontology
time
Zeno of Elea
Opis:
This paper proposes an interpretation of Books V and VI of Aristotle’s Physics as being (at least partly) a reaction to Zeno’s four “arguments against motion” that Aristotle expounds and discusses in Phys. VI 9. On the basis of a detailed textual analysis of that chapter, I show that Zeno’s arguments rest on a frame of a priori notions such as part and whole, in contact, between, limit, etc., which Aristotle takes over in order to account for the inner structure (here called “the In-Between”) common to all facts of motion and change. That frame allows him to develop a specific ontology for that inner structure – although it exists only potentially according to the Aristotelian orthodoxy – because he needs such an ontology in order to vindicate the reality of motion and change.
Źródło:
Peitho. Examina Antiqua; 2021, 12, 1; 123-149
2082-7539
Pojawia się w:
Peitho. Examina Antiqua
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the lower semicontinuity of functionals involving Lebesgue or improper Riemann integrals in infinite horizon optimal control problems
Autorzy:
Pickenhain, S.
Lykina, V.
Wagner, M.
Powiązania:
https://bibliotekanauki.pl/articles/969619.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
infinite horizon
weighted Sobolev spaces
lower semicontinuity
Lebesgue integral
improper Riemann integral
Opis:
This paper deals with infinite horizon optimal control problems, which are formulated in weighted Sobolev spaces ... [wzór] and weighted Lp-spaces ... [wzór]. We ask for the consequences of the interpretation of the integral within the objective as a Lebesgue or an improper Riemann integral. In order to justify the use of both types of integrals, various applications of infinite horizon problems are presented. We provide examples showing that lower semicontinuity may fail for objectives involving Lebesgue as well as improper Riemann integrals. Further we prove a lower semicontinuity theorem for an objective with Lebesgue integral under more restrictive growth conditions on the integrand.
Źródło:
Control and Cybernetics; 2008, 37, 2; 451-468
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Moving semi-infinite mode-III crack inside the semi-infinite elastic media
Autorzy:
Mandal, Palas
Powiązania:
https://bibliotekanauki.pl/articles/2055034.pdf
Data publikacji:
2020
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
semi-infinite crack
isotropic media
Rayleigh wave
SH-wavestress intensity
factor
crack opening displacement
Opis:
The problem of a semi-infinite moving mode-III crack inside a semi-infinite isotropic half- -space is considered. The crack is located between a semi-infinite elastic medium and a layer whose distance from the surface to crack depth is h. Initially, Fourier transformation and inverse Fourier transformation are applied to transfer the governing boundary value problem to the well-known Wiener-Hopf equation. The purpose of this problem is to obtain the analytical solution of Stress Intensity Factor (SIF) and Crack Opening Displacement (COD) at the neighbourhood of the crack tip. In numerical Section, I have discussed the variation of parameters (crack velocity, layer distance h from the surface to crack depth) to show the effect of these parametric values on the graphs of SIF and COD where the material properties (density, shear modulus) were fixed.
Źródło:
Journal of Theoretical and Applied Mechanics; 2020, 58, 3; 649--659
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Output Stabilization for Infinite-Dimensional Bilinear Systems
Autorzy:
Zerrik, E. H.
Ouzahra, M.
Powiązania:
https://bibliotekanauki.pl/articles/911139.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system dwuliniowy nieskończony
stabilizacja wyjściowa
stabilizacja dziedzinowa
infinite bilinear systems
output stabilization
regional stabilization
Opis:
The purpose of this paper is to extend results on regional internal stabilization for infinite bilinear systems to the case where the subregion of interest is a part of the boundary of the system evolution domain. Then we characterize either stabilizing control on a boundary part, or the one minimizing a given cost of performance. The obtained results are illustrated with numerical examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 2; 187-195
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Filosofía de la nada y del amor
Autorzy:
Nakatomi, Kiyokazu
Powiązania:
https://bibliotekanauki.pl/articles/2131245.pdf
Data publikacji:
2015
Wydawca:
Instytut Studiów Międzynarodowych i Edukacji Humanum
Tematy:
none
infinite
eternal
transcendent synthesis of Love in the Asian and European philosophy
Biocosmología
Opis:
The purpose of this test is to break the blockade dry characterizes contemporary philosophy and create a new horizon. The question has arisen nowhere at all times and in all places. To cite a few names; Lao-tzu, Chaung-tzu, Solomon, Buddha, Pascal, Nietzsche, Bergson and Heidegger. European philosophy began with Plato who created the idea of being. But being and matter occupy only a negligible position in the universe. Compared to this universe, being and matter are like three tiny ants in relation to the earth. European philosophy has been questioning circled over three small ants. However, we think hard about anything including three ants and a gap the size of the earth. Nothingness is not the non-existence of all things. Nowhere it includes and transcends relative nothingness and being. We call it Transcendental Nothing or absolutely nothing. Nothingness is the highest knowledge in which the transcendent is revealed to humanity; infinite knowledge eternity is projected transcendent God love. I call the principle of nowhere and love. The following is proved.
Źródło:
Humanum. Międzynarodowe Studia Społeczno-Humanistyczne; 2015, 4(19); 111-117
1898-8431
Pojawia się w:
Humanum. Międzynarodowe Studia Społeczno-Humanistyczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decay function infinite boundary element application in optical tomography
Zastosowanie elementów brzegowych nieskończonych z funkcjami zaniku w tomografii optycznej
Autorzy:
Pańczyk, M.
Sikora, J.
Powiązania:
https://bibliotekanauki.pl/articles/160134.pdf
Data publikacji:
2012
Wydawca:
Sieć Badawcza Łukasiewicz - Instytut Elektrotechniki
Tematy:
metoda elementów brzegowych
elementy nieskończone
tomografia optyczna
boundary element method
infinite elements
optical tomography
Opis:
Early detection or screening examination of Brest cancer can be done using Optical Tomography and Boundary Element Method. We can not make measurements or precisely Defie boundary conditions on the surface between breast and chest. A few models which uses an extension of the definition area to other tissues surrounding the breast are discussed. Among them model containing infinite boundary elements which allows us to reduce the mesh and to avoid the problem of setting incorrect boundary conditions on unavailable surface between breast and chest.
Wczesne przesiewowe wykrywanie nowotworów piersi może być wykonywane z zastosowaniem Metody Elementów Brzegowych i mammografii optycznej. Wymaga to określenia warunków brzegowych. Niestety, nie ma możliwości umieszczenia detektorów i źródeł światła na powierzchni między piersią a klatką piersiową. Typowym rozwiązaniem jest rozszerzenie obszaru poszukiwania rozwiązania o fragment klatki piersiowej i utworzenie sztucznej granicy zaniku zjawiska. Zbytnie powiększenie siatki skutkuje wzrostem kosztów obliczeniowych, natomiast przyjęcie sztucznej granicy zbyt blisko obszaru zainteresowań - powstaniem potencjalnych błędów. Rozwa?ania przeprowadzono na bazie kilku prostych modeli piersi. Ostatni model zawiera elementy brzegowe nieskończone pozwalające na zredukowanie rozmiarów siatki i uniknięcie problemu błędnych warunków brzegowych przez utworzenie modelu o tzw. otwartym brzegu.
Źródło:
Prace Instytutu Elektrotechniki; 2012, 256; 355-367
0032-6216
Pojawia się w:
Prace Instytutu Elektrotechniki
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Acoustic Impedance of a Vibrating Annular Piston Located on a Flat Rigid Baffle Around a Semi-Infinite Circular Rigid Cylinder
Autorzy:
Rdzanek, W. P.
Rdzanek, W. J.
Pieczonka, D.
Powiązania:
https://bibliotekanauki.pl/articles/176618.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Neumann boundary value problem
annular piston
acoustic impedance
semi-infinite cylindrical circular rigid baffle
Opis:
The axisymmetric problem of acoustic impedance of a vibrating annular piston embedded into a flat rigid baffle concentrically around a semi-infinite rigid cylindrical circular baffle has been undertaken in this study. The Helmholtz equation has been solved. The Green’s function valid for the zone considered has been used for this purpose. The influence of the semi-infinite cylindrical baffle on the piston’s acoustic impedance has been investigated. The acoustic impedance has been presented in both forms: integral and asymptotic, both valid for the steady harmonic vibrations. Additionally, the acoustic impedances of the piston with and without the cylindrical baffle have been compared to one another. In the case without the cylindrical baffle some earlier results have been used.
Źródło:
Archives of Acoustics; 2012, 37, 4; 411-422
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal multidrug treatment in the presence of drug resistance stemming from gene amplification
Autorzy:
Śmieja, J.
Świerniak, A.
Powiązania:
https://bibliotekanauki.pl/articles/332869.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Śląski. Wydział Informatyki i Nauki o Materiałach. Instytut Informatyki. Zakład Systemów Komputerowych
Tematy:
nieskończenie wymiarowy system
optymalna kontrola
modelowanie biomedyczne
infinite dimensional systems
optimal control
biomedical modeling
Opis:
The paper is concerned with development of optimal treatment protocols that take into account both action of several drugs and the evolution of drug resistance. It is a result of analysis of evolution of drug resistance in cancer population but presented methodology can be applied in any case involving drug resistance stemming from gene amplification. First, a biological background is given. In subsequent sections of the paper, the developed technique is presented and some early analytical results, which form a basis for more precise modeling, are shown. Afterwards, the model description is transformed into a vector integro-differential equation, which makes it possible to define necessary conditions of optimal solution to the minimization problem arising from the search for the optimal treatment. Finally, some remarks on the model applicability are presented.
Źródło:
Journal of Medical Informatics & Technologies; 2002, 3; MI13-19
1642-6037
Pojawia się w:
Journal of Medical Informatics & Technologies
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simulating an infinite mean waiting time
Autorzy:
Bartoszek, Krzysztof
Powiązania:
https://bibliotekanauki.pl/articles/953256.pdf
Data publikacji:
2019
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
birth-death process
infinite mean
phylogenetic tree
power-law distribution
return time
drzewo logenetyczne
Opis:
W pracy rozważany jest mieszany sposób symulowania czasu powrotu do stanu początkowego określonego krytycznego procesu narodzin i śmierci. Ten czas powrotu ma nieskończoną wartość oczekiwaną przy czym jego asymptotyczny rozkład jest potęgowy. Zatem dopóki symulowany czas nie przekroczy pewnej granicznej wartości proces jest symulowany bezpośrednio. W chwili przekroczenia tej wartości granicznej czas powrotu jest losowany z ogona tego rozkładu potęgowego.
We consider a hybrid method to simulate the return time to the initial state in a critical-case birth-death process. The expected value of this return time is infinite, but its distribution asymptotically follows a power-law. Hence, the simulation approach is to directly simulate the process, unless the simulated time exceeds some threshold and if it does, draw the return time from the tail of the power law.
Źródło:
Mathematica Applicanda; 2019, 47, 1
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sturm-Liouville Systems Are Riesz-Spectral Systems
Autorzy:
Delattre, C.
Dochain, D.
Winkin, J.
Powiązania:
https://bibliotekanauki.pl/articles/908100.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
Sturm-Liouville system
Riesz-spectral system
infinite-dimensional state-space system
Co-semigroup
Opis:
The class of Sturm-Liouville systems is defined. It appears to be a subclass of Riesz-spectral systems, since it is shown that the negative of a Sturm-Liouville operator is a Riesz-spectral operator on L2(a,b) and the infinitesimal generator of a C0-semigroup of bounded linear operators.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 481-484
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Anoccupational measure solution to a singularly perturbed optimal control problem
Autorzy:
Artstein, Z.
Powiązania:
https://bibliotekanauki.pl/articles/206805.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
horyzont nieskończony
perturbacja singularna
sterowanie optymalne
infinite horizon
limit occupational measures
optimal control
singular perturbations
Opis:
Employing limit occupational measures, we provide an explicit solution to a singularly perturbed optimal control problem for which the order reduction method does not apply.
Źródło:
Control and Cybernetics; 2002, 31, 3; 623-642
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Schur and Steinhaus Theorems for 4-Dimensional Infinite Matrices
Autorzy:
Natarajan, P.N.
Powiązania:
https://bibliotekanauki.pl/articles/746178.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
4-dimensional infinite matrices
double sequences and double series
regular matrix
Schur's theorem
Steinhaus theorem
Opis:
This paper is a sequel to [2]. Throughout this paper, entries of double sequences, double series and 4-dimensional infinite matrices are real or complex numbers. We prove the Schur and Steinhaus theorems for 4-dimensional infinite matrices.
Źródło:
Commentationes Mathematicae; 2014, 54, 2
0373-8299
Pojawia się w:
Commentationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Approximate constrained controllability of mechanical system
Sterowanie minimalno-czasowe manipulatorów hydraulicznych po zadanej ścieżce
Autorzy:
Klamka, J.
Powiązania:
https://bibliotekanauki.pl/articles/279817.pdf
Data publikacji:
2005
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
linear infinite-dimensional control systems
mechanical flexible structure vibratory systems
controllability of abstract dynamical systems
Opis:
In the present paper approximate constrained controllability of linear abstract second-order infinite-dimensional dynamical control systems is considered. First, fundamental definitions and notions are recalled. Next it is proved, using the so-called frequency-domain method, that approximate constrained controllability of second-order dynamical control system can be verified by the approximate constrained controllability conditions for the simplified, suitably defined first-order linear dynamical control system. General results are then applied for approximate constrained controllability investigation of mechanical flexible structure vibratory dynamical system. Some special cases are also considered. Moreover, many remarks, comments and corollaries on the relationships between different concepts of approximate controllability are given. Finally, the obtained results are applied for investigation of approximate constrained controllability for flexible mechanical structure. In this case linear second-order partial differential state equation describes the transverse motion of an elastic beam which occupies the given finite interval.
Praca przedstawia metodę optymalizacji minimalno-czasowej ruchów manipulatorów hydraulicznych, po zadanej ścieżce członu roboczego. Zakładane jest, że ścieżka członu roboczego jednoznacznie określa odpowiadającą jej ścieżkę manipulatora w zmiennych uogólnionych. Optymalizacja sprowadza się wówczas do znalezienia optymalnego rozkładu parametru ścieżki w czasie. Proponowana metoda optymalizacji polega na przybliżeniu ciągłego rozkładu parametru zbiorem punktów, a następnie znalezieniu ich optymalnych położeń metodami programowania nieliniowego z ograniczeniami. Zakładana jest przy tym nieściśliwość cieczy hydraulicznej, w celu przyspieszenia obliczeń. Załączone są wyniki przykładowych optymalizacji, wykonanych na modelu trójczłonowej koparki hydraulicznej.
Źródło:
Journal of Theoretical and Applied Mechanics; 2005, 43, 3; 539-554
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exact Observability of Diagonal Systems With a One-Dimensional Output Operator
Autorzy:
Jacob, B.
Zwart, H.
Powiązania:
https://bibliotekanauki.pl/articles/908120.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
obserwator
równanie Lyapunova
infinite-dimensional systems
unbounded observation operator
exact observability
Hautus test
Lyapunov equations
Opis:
In this paper equivalent conditions for exact observability of diagonal systems with a one-dimensional output operator are given. One of these equivalent conditions is the conjecture of Russell and Weiss (1994). The other conditions are given in terms of the eigenvalues and the Fourier coefficients of the system data.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1277-1283
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Time-optimal control of infinite order hyperbolic systems with time delays
Autorzy:
Kowalewski, A.
Powiązania:
https://bibliotekanauki.pl/articles/929954.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
sterowanie czasooptymalne
systemy hyperboliczne
opóźnienie czasowe
time-optimal control
infinite order
hyperbolic systems
time delays
Opis:
In this paper, the time-optimal control problem for infinite order hyperbolic systems in which time delays appear in the integral form both in state equations and in boundary conditions is considered. Optimal controls are characterized in terms of an adjoint system and shown to be unique and bang-bang. These results extend to certain cases of nonlinear control problems. The particular properties of optimal control are discussed.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 597-608
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
High-gain feedback and sliding modes in infinite dimensional systems
Autorzy:
Levaggi, L.
Powiązania:
https://bibliotekanauki.pl/articles/970418.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
system nieskończenie wymiarowy
zaburzenia osobliwe
infinite dimensional systems
high-gain feedback
singular perturbations
sliding modes
Opis:
This paper focuses on the connection between sliding motions and low frequency modes of high-gain feedback systems in an infinite dimensional framework. We study a particular class of abstract control systems in a Hilbert space setting and analyse their high-gain behaviour through singular perturbations. We show that the "slow" motion derived from the reduced model approximates the evolution of the closed loop after a fast transient. Moreover we prove a relation between this slow component of the high-gain feedback system and sliding motions, in the spirit, of the analogous result in the finite dimensional setting by Young, Kokotovic and Utkin (Young et al., 1977).
Źródło:
Control and Cybernetics; 2004, 33, 1; 33-50
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non symmetric random walk on infinite graph
Autorzy:
Zygmunt, M. J.
Powiązania:
https://bibliotekanauki.pl/articles/254997.pdf
Data publikacji:
2011
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
random walk on an infinite graph
block tridiagonal transition matrix
spectral measure matrix orthogonal polynomials
Opis:
We investigate properties of a non symmetric Markov's chain on an infinite graph. We show the connection with matrix valued random walk polynomials which satisfy the orthogonality formula with respect to non a symmetric matrix valued measure.
Źródło:
Opuscula Mathematica; 2011, 31, 4; 669-674
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Discrete-time feedback stabilization
Autorzy:
Mitkowski, W.
Bauer, W.
Zagórowska, M.
Powiązania:
https://bibliotekanauki.pl/articles/229169.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
stabilization
feedback stabilization
finite dimensional stabilization
infinite dimensional systems
finite dimensional approximations
continuous-discrete system
Opis:
This paper presents an algorithm for designing dynamic compensator for infinitedimensional systems with bounded input and bounded output operators using finite dimensional approximation. The proposed method was then implemented in order to find the control function for thin rod heating process. The optimal sampling time was found depending on discrete output measurements.
Źródło:
Archives of Control Sciences; 2017, 27, 2; 309-322
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nieskończony ślepy zaułek Dymitra Galkovskiego wobec poetyki hipertekstu
Autorzy:
Martiusheva, Margarita
Powiązania:
https://bibliotekanauki.pl/articles/679383.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
hypertext, Russian literature, Dmitri Galkovsky, infinite dead end
hipertekst, literatura rosyjska, Dymitr Galkovsky, nieskończony ślepy zaułek
Opis:
Article discusses the hypertext novel Infinite Dead End as one of the pioneering examples of such forms in Russian literature. The solution used by Dmitri Gakovsky, the author refers to the hypertext poetics, which allows her to conclude that the analyzed work belongs to outstanding examples of world-wide hypertext. In particular, the author’s creation of a neverending network of comments led to the creation of an endless blind alley by the author of the multilayered work.
W artykule omówiono powieść hipertekstową Nieskończony ślepy zaułek jako jeden z pionierskich przykładów tego typu form w literaturze rosyjskiej. Rozwiązania zastosowane przez Dymitra Galkovskiego autorka odnosi do poetyki hipertekstu, co pozwala jej stwierdzić, że analizowany utwór należy do wybitnych przykładów światowej literatury hipertekstowej. W sposób szczególny wyeksponowany został zabieg stworzenia przez autora niekończącej się sieci komentarzy, dzięki któremu autor Nieskończonego ślepego zaułka uzyskał efekt wielowarstwowości utworu.
Źródło:
Artes Humanae; 2017, 2
2449-6340
Pojawia się w:
Artes Humanae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Hamiltonian trajectories and saddle points in mathematical economics
Autorzy:
Rockafellar, R. T.
Powiązania:
https://bibliotekanauki.pl/articles/970735.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
infinite horizon optimal control
convex Lagrange problems
Hamiltonian saddle points
overtaking criteria
Ramsey's problem
economic growth
Opis:
Infinite-horizon problems of kinds that arise in macroeconomic applications present a challenge in optimal control which has only partially been met. Results from the theory of convex problems of Lagrange can be utilized, to some extent, the most interesting feature being that in these problems the analysis revolves about a rest point of the Hamiltonian, which is at the same time a saddle point of the Hamiltonian in the minimax sense. The prospect is that in this situation the Hamiltonian dynamical system exhibits saddle point behavior in the differential equation sense as well. Some results are provided in this direction and coordinated with notions of asymptotic optimization, which mathematical economists have worked with.
Źródło:
Control and Cybernetics; 2009, 38, 4B; 1575-1588
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Difference methods for infinite systems of hyperbolic functional differential equations on the Haar pyramid
Autorzy:
Jaruszewska-Walczak, D.
Powiązania:
https://bibliotekanauki.pl/articles/2050179.pdf
Data publikacji:
2004
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
initial problems
infinite systems of differential functional equations
difference functional inequalities
nonlinear estimates of Perron type
Opis:
We consider the Cauchy problem for infinite system of differential functional equations $\partial_{t}z_{k}(t, x) = f_{k}(t, x, z, \partial_{x}z_{k}(t, x)), k \in \mathbf{N}$. In the paper we consider a general class of difference methods for this problem. We prove the convergence of methods under the assumptions that given functions satisfy the nonlinear estimates of the Perron type with respect to functional variables. The proof is based on functional difference inequalities. We constructed the Euler method as an example of difference method.
Źródło:
Opuscula Mathematica; 2004, 24, 1; 85-96
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Structure of solutions of nonautonomous optimal control problems in metric spaces
Autorzy:
Zaslavski, A. J.
Powiązania:
https://bibliotekanauki.pl/articles/357858.pdf
Data publikacji:
2015
Wydawca:
Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:
compact metric space
infinite horizon problem
optimization
turnpike property
przestrzeń metryczna
horyzont nieskończony
optymalizacja
sterowanie optymalne
Opis:
We establish turnpike results for a nonautonomous discrete-time optimal control system describing a model of economic dynamics.
Źródło:
Journal of Mathematics and Applications; 2015, 38; 151-169
1733-6775
2300-9926
Pojawia się w:
Journal of Mathematics and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of solutions of infinite systems of nonlinear differential-functional equations of parabolic type
Autorzy:
Zabawa, T.S.
Powiązania:
https://bibliotekanauki.pl/articles/254967.pdf
Data publikacji:
2006
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
stability of solutions
infinite systems
parabolic equations
elliptic equations
semilinear differential-functional equations
monotone iteration method
Opis:
A parabolic initial boundary value problem and an associated elliptic Dirichlet problem for an infinite weakly coupled system of semilinear differential-functional equations are considered. It is shown that the solutions of the parabolic problem is asymptotically stable and the limit of the solution of the parabolic problem as t → ∞ is the solution of the associated elliptic problem. The result is based on the monotone methods.
Źródło:
Opuscula Mathematica; 2006, 26, 1; 173-183
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A differential geometric setting for dynamic equivalence and dynamic linearization
Autorzy:
Pomet, Jean-Baptiste
Powiązania:
https://bibliotekanauki.pl/articles/1359678.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
flat systems
infinite jet bundles
Dynamic feedback equivalence
dynamic feedback linearization
Lie-Bäcklund transformations
contact transformations
Opis:
This paper presents an (infinite-dimensional) geometric framework for control systems, based on infinite jet bundles, where a system is represented by a single vector field and dynamic equivalence (to be precise: equivalence by endogenous dynamic feedback) is conjugation by diffeomorphisms. These diffeomorphisms are very much related to Lie-Bäcklund transformations. It is proved in this framework that dynamic equivalence of single-input systems is the same as static equivalence.
Źródło:
Banach Center Publications; 1995, 32, 1; 319-339
0137-6934
Pojawia się w:
Banach Center Publications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Banach fixed-point theorem in semilinear controllability problems – a survey
Autorzy:
Klamka, J.
Babiarz, A.
Niezabitowski, M.
Powiązania:
https://bibliotekanauki.pl/articles/200909.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
complete controllability
Banach space
Hilbert space
fixed-point
infinite dimensional space
sterowność
przestrzeń Banacha
przestrzeń Hilberta
Opis:
The main aim of this article is to review the existing state of art concerning the complete controllability of semilinear dynamical systems. The study focus on obtaining the sufficient conditions for the complete controllability for various systems using the Banach fixedpoint theorem. We describe the results for stochastic semilinear functional integro-differential system, stochastic partial differential equations with finite delays, semilinear functional equations, a stochastic semilinear system, a impulsive stochastic integro-differential system, semilinear stochastic impulsive systems, an impulsive neutral functional evolution integro-differential system and a nonlinear stochastic neutral impulsive system. Finally, two examples are presented.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 1; 21-35
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Qualitative analysis of controlled drug resistance model - inverse Laplace and and semigroup approach
Autorzy:
Świerniak, A.
Polański, A.
Kimmel, M.
Bobrowski, A.
Śmieja, J.
Powiązania:
https://bibliotekanauki.pl/articles/205965.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
modele biomedyczne
proces gałązkowy
stabilność
układy nieskończenie wymiarowe
biomedical models
branching processes
infinite dimensional systems
stability
Opis:
In this paper we study some properties of infinite models of the controlled evolution of drug resistance. We combine asymptotic techniques used in previous studies of similar models with methods of control theory and of semigroup theory. It enables us to find conditions for stability of the model both when the sensitive population is annihilated and when there exists a permanent influx from the sensivite compartment into drug resistant one. The conditions are expressed in terms of relationships between amplification and deamplification ratios as well as average life times of cells and intensity of anticancer drug action.
Źródło:
Control and Cybernetics; 1999, 28, 1; 61-73
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Implemented Semigroup for Infinite-Dimensional Lyapunov Equations
Półgrupa złożona dla nieskończenie wymiarowych równań Lapunowa
Autorzy:
Emirsajłow, Z.
Townley, S.
Powiązania:
https://bibliotekanauki.pl/articles/151707.pdf
Data publikacji:
2004
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
półgrupa złożona
rozprzęganie
nieskończenie wymiarowe różniczkowe równanie Lapunowa
implemented semigroup
infinite-dimensional
differential Lyapunov equation
decoupling
Opis:
The main objective of the paper is to show that the concept of the implemented semigroup provides a natural mathematical framework for analysis of the infinite-dimensional Lyapunov equation (DLE). Such a Lyapunov equation arises quite naturally in various system-theoretic and control problems in which the time horizon is finite, the state space is infinite-dimensional and the operators involved in the mathematical model of the system are unbounded. As an application we show how this approach can be used to solve a simple decoupling problem arising in optimal control.
Głównym celem pracy jest pokazanie, że koncepcja półgrupy złożonej jest naturalnym narzędziem matematycznym do analizy nieskończenie wymiarowego różniczkowego równania Lapunowa. Tego typu równania występują w problemach sterowania ze skończonym horyzontem czasowym i modelem matematycznym zawierającym operatory nieograniczone. Podejście oparte na półgrupie złożonej pozwala wyprowadzić warunki konieczne i wystarczające ograniczoności rozwiąznia rózniczkowego równania Lapunowa w odpowiedniej przestrzeni. Jesteśmy przekonani, że półgrupa złożona może być użytecznym narzędziem matematycznym w nieskończenie wymiarowej teorii sterowania i systemów. Jako przykład zastosowania przedstawionej teorii w pracy pokazano rozwiązanie pewnego problemu rozprzęgania występujacego w zadaniach sterowania optymalnego.
Źródło:
Pomiary Automatyka Kontrola; 2004, R. 50, nr 1, 1; 14-18
0032-4140
Pojawia się w:
Pomiary Automatyka Kontrola
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Infinite-dimensional Sylvester equations: basic theory and application to observer design
Autorzy:
Emirsajłow, Z.
Powiązania:
https://bibliotekanauki.pl/articles/331453.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
równanie nieskończenie wymiarowe
półgrupa złożona
obserwator stanu
infinite dimensional Sylvester equation
implemented semigroup
state observer design
Opis:
This paper develops a mathematical framework for the infinite-dimensional Sylvester equation both in the differential and the algebraic form. It uses the implemented semigroup concept as the main mathematical tool. This concept may be found in the literature on evolution equations occurring in mathematics and physics and is rather unknown in systems and control theories. But it is just systems and control theory where Sylvester equations widely appear, and for this reason we intend to give a mathematically rigorous introduction to the subject which is tailored to researchers and postgraduate students working on systems and control. This goal motivates the assumptions under which the results are developed. As an important example of applications we study the problem of designing an asymptotic state observer for a linear infinite dimensional control system with a bounded input operator and an unbounded output operator.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 245-257
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations
Autorzy:
Brzychczy, Stanisław
Powiązania:
https://bibliotekanauki.pl/articles/1293995.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
method of lower and upper functions
infinite systems of parabolic differential-functional equations
monotone iterative method
Opis:
We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.
Źródło:
Annales Polonici Mathematici; 1999, 72, 1; 15-24
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The motion planning problem and exponential stabilization of a heavy chain. Part II
Autorzy:
Grabowski, P.
Powiązania:
https://bibliotekanauki.pl/articles/255394.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
infinite-dimensional control systems
semigroups
motion planning problem
exponential stabilization
spectral methods
Riesz bases
exact observability
Opis:
This is the second part of paper [8], where a model of a heavy chain system with a punctual load (tip mass) in the form of a system of partial differential equations was interpreted as an abstract semigroup system and then analysed on a Hilbert state space. In particular, in [8] we have formulated the problem of exponential stabilizability of a heavy chain in a given position. It was also shown that the exponential stability can be achieved by applying a stabilizer of the colocated-type. The proof used the method of Lyapunov functionals. In the present paper, we give other two proofs of the exponential stability, which provides an additional intrinsic insight into the exponential stabilizability mechanism. The first proof makes use of some spectral properties of the system. In the second proof, we employ some relationships between exponential stability and exact observability.
Źródło:
Opuscula Mathematica; 2008, 28, 4; 481-505
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
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