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Wyświetlanie 1-15 z 123
Tytuł:
Monodromy invariant Hermitian forms for second order Fuchsian differential equations with four singularities
Autorzy:
Adachi, Shunya
Powiązania:
https://bibliotekanauki.pl/articles/2216189.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Fuchsian differential equations
monodromy representation
monodromy invariant Hermitian form
Opis:
We study the monodromy invariant Hermitian forms for second order Fuchsian differential equations with four singularities. The moduli space of our monodromy representations can be realized by certain affine cubic surface. In this paper we characterize the irreducible monodromies having the non-degenerate invariant Hermitian forms in terms of that cubic surface. The explicit forms of invariant Hermitian forms are also given. Our result may bring a new insight into the study of the Painlevé differential equations.
Źródło:
Opuscula Mathematica; 2022, 42, 3; 361-391
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Equivalence of control systems on the Euclidean group SE (2)
Autorzy:
Adams, R. M.
Biggs, R.
Remsing, C. C.
Powiązania:
https://bibliotekanauki.pl/articles/205696.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Left-invariant control system
state space equivalence
Euclidean group
Opis:
We classify, under (local) state space equivalence, all full-rank left-invariant control affne systems evolving on the Euclidean group SE(2).
Źródło:
Control and Cybernetics; 2012, 41, 3; 513-524
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
More topological cardinal inequalities
Autorzy:
Alas, O.
Powiązania:
https://bibliotekanauki.pl/articles/967348.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
topological cardinal invariant
cardinal inequality
weak Lindelöf degree
Opis:
A new topological cardinal invariant is defined; it may be considered as a weaker form of the Lindelöf degree.
Źródło:
Colloquium Mathematicum; 1993, 65, 2; 165-168
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some shift invariant integral operators, univariate case
Autorzy:
Anastassiou, George
Gonska, Heinz
Powiązania:
https://bibliotekanauki.pl/articles/1311499.pdf
Data publikacji:
1995
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
global smoothness preservation
convergence to the unit with rates
Jackson type inequalities
sharp inequalities
modulus of continuity
integral operators
shift invariant operators
convolution type operators
shape preserving operators
probabilistic distribution function
Opis:
In recent papers the authors studied global smoothness preservation by certain univariate and multivariate linear operators over compact domains. Here the domain is ℝ. A very general positive linear integral type operator is introduced through a convolution-like iteration of another general positive linear operator with a scaling type function. For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates, shape preserving and preservation of continuous probabilistic functions. Finally, four examples of very general specialized operators are presented fulfilling all the above properties; in particular, the inequalities for global smoothness preservation are proven to be sharp.
Źródło:
Annales Polonici Mathematici; 1995, 61, 3; 225-243
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Variable neighborhood search for extremal graphs. 17. Further conjectures and results about the index
Autorzy:
Aouchiche, Mustapha
Hansen, Pierre
Stevanović, Dragan
Powiązania:
https://bibliotekanauki.pl/articles/743111.pdf
Data publikacji:
2009
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
AutoGraphiX
automated conjecture making
index of a graph
spectral radius
graph invariant
Opis:
The AutoGraphiX 2 system is used to compare the index of a connected graph G with a number of other graph theoretical invariants, i.e., chromatic number, maximum, minimum and average degree, diameter, radius, average distance, independence and domination numbers. In each case, best possible lower and upper bounds, in terms of the order of G, are sought for sums, differences, ratios and products of the index and another invariant. There are 72 cases altogether: in 7 cases known results were reproduced, in 32 cases immediate results were obtained and automatically proved by the system, conjectures were obtained in 27 cases, of which 12 were proved (in 3 theorems and 9 propositions), 9 remain open and 6 were refuted. No results could be derived in 7 cases.
Źródło:
Discussiones Mathematicae Graph Theory; 2009, 29, 1; 15-37
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Stabilizing Control Law for Invariant Systems on Lie Groups
Autorzy:
Apostolou, N.
Kazakos, D.
Powiązania:
https://bibliotekanauki.pl/articles/911170.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ niezmienny
grupa Liego
sterowanie zamknięte
invariant systems
Lie groups
stabilization
feedback controller
Opis:
This paper deals with the stabilizability of invariant control systems defined on Lie groups. A stabilization technique is presented which, under certain hypotheses, can lead to a criterion assuring the existence of a feedback controller which steers every initial condition to a specified target point of the state space of these systems.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 273-282
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On some generalized invariant means and their application to the stability of the Hyers-Ulam type
Autorzy:
Badora, Roman
Powiązania:
https://bibliotekanauki.pl/articles/1311835.pdf
Data publikacji:
1993
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
Hyers-Ulam stability theorem
invariant mean
binary intersection property
Opis:
We present some extension of the concept of an invariant mean to a space of vector-valued mappings defined on a semigroup. Next, we apply it to the study of the stability of some functional equation.
Źródło:
Annales Polonici Mathematici; 1993, 58, 2; 147-159
0066-2216
Pojawia się w:
Annales Polonici Mathematici
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of autonomous linear time invariant fractional order derivative switched systems with different derivative in subsystems
Autorzy:
Balochian, S.
Powiązania:
https://bibliotekanauki.pl/articles/200478.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear time invariant fractional order derivative
switching systems
linear matrix inequality
LMI
Opis:
In this paper, the stabilization problem of a autonomous linear time invariant fractional order (LTI-FO) switched system with different derivative order in subsystems is outlined. First, necessary and sufficient condition for stability of an LTI-FO switched system with different derivative order in subsystems based on the convex analysis and linear matrix inequality (LMI) for two subsystems is presented and proved. Also, sufficient condition for stability of an LTI-FO switched system with different derivative order in subsystems for more than two subsystems is proved. Then a sliding sector is designed for each subsystem of the LTI-FO switched system. Finally, a switching control law is designed to switch the LTI-FO switched system among subsystems to ensure the decrease of the norm of the switched system. Simulation results are given to show the effectiveness of the proposed variable structure controller.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 3; 495-503
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The work of professor Andrzej Lasota on asymptotic stability and recent progress
Autorzy:
Bartoszek, W.
Powiązania:
https://bibliotekanauki.pl/articles/255311.pdf
Data publikacji:
2008
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
invariant measure
asymptotic stability
asymptotic periodicity
compact attractor
lower function
smoothing
cell cycle
sweeping
genericity
Opis:
The paper is devoted to Professor Andrzej Lasota's contribution to the ergodic theory of stochastic operators. We have selected some of his important papers and shown their influence on the evolution of this topic. We emphasize the role A. Lasota played in promoting abstract mathematical theories by showing their applications. The article is focused exclusively on ergodic properties of discrete stochastic semigroups {Pn : n ≥ 0}. Nevertheless, almost all of Lasota's results presented here have their one-parameter continuous semigroup analogs.
Źródło:
Opuscula Mathematica; 2008, 28, 4; 395-413
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The completely distributive lattice of machine invariant sets of infinite words
Autorzy:
Belovs, Aleksandrs
Buls, Jānis
Powiązania:
https://bibliotekanauki.pl/articles/728892.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
mealy machine
machine invariant class
completely distributive lattice
length
width
Opis:
We investigate the lattice of machine invariant classes. This is an infinite completely distributive lattice but it is not a Boolean lattice. The length and width of it is c. We show the subword complexity and the growth function create machine invariant classes.
Źródło:
Discussiones Mathematicae - General Algebra and Applications; 2007, 27, 1; 109-121
1509-9415
Pojawia się w:
Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On an Invariant Design of Feedbacks for Bilinear Control Systems of Second Order
Autorzy:
Belozyorov, V. Y.
Powiązania:
https://bibliotekanauki.pl/articles/908334.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
dwuliniowy układ sterowania
układ niezmienny
bilinear control systems
invariant design
asymptotic stability
second-order system
Opis:
The problem of linear feedback design for bilinear control systems guaranteeing their conditional closed-loop stability is considered. It is shown that this problem can be reduced to investigating the conditional stability of solutions of quadratic systems of differential equations depending on parameters of the control law. Sufficient conditions for stability in the cone of a homogeneous quadratic system are obtained. For second-order systems, invariant conditions of conditional asymptotic stability are found.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 2; 377-389
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Diagonal conditions in ordered spaces
Autorzy:
Bennett, Harold
Lutzer, David
Powiązania:
https://bibliotekanauki.pl/articles/1205428.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
H-diagonal
small diagonal
linearly ordered topological space
generalized ordered space
cardinal invariant, metrizability
paracompact space
Čech-complete space
p-space, Michael line
Sorgenfrey line
σ-disjoint base
Opis:
For a space X and a regular uncountable cardinal κ ≤ |X| we say that κ ∈ D(X) if for each $T ⊂ {X^2} - Δ(X)$ with |T| = κ, there is an open neighborhood W of Δ(X) such that |T - W| = κ. If $ω_1 ∈ D(X)$ then we say that X has a small diagonal, and if every regular uncountable κ ≤ |X| belongs to D(X) then we say that X has an H-diagonal. In this paper we investigate the interplay between D(X) and topological properties of X in the category of generalized ordered spaces. We obtain cardinal invariant theorems and metrization theorems for such spaces, proving, for example, that a Lindelöf linearly ordered space with a small diagonal is metrizable. We give examples showing that our results are the sharpest possible, e.g., that there is a first countable, perfect, paracompact Čech-complete linearly ordered space with an H-diagonal that is not metrizable. Our example shows that a recent CH-result of Juhász and Szentmiklóssy on metrizability of compact Hausdorff spaces with small diagonals cannot be generalized beyond the class of locally compact spaces. We present examples showing the interplay of the above diagonal conditions with set theory in a natural extension of the Michael line construction.
Źródło:
Fundamenta Mathematicae; 1997, 153, 2; 99-123
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Relationships Between Two Definitions of Fading Memory for Discrete-Time Systems
Autorzy:
Borys, A.
Powiązania:
https://bibliotekanauki.pl/articles/226448.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
discrete-time systems
time-invariant operators
fading memory property
Opis:
In this paper, we refer to two definitions of fading memory property, which were published in the literature, for discrete-time circuits and systems. One of these definitions relates to systems working with signals (sequences) defined for both the positive and negative integers, expanding from minus infinity to plus infinity. On the other hand, the second one refers to systems processing sequences defined only for nonnegative integers, that is starting at the discrete-time point equal to zero and expanding to plus infinity. We show here that the second definition follows from the first one. That is they are not independent. Moreover, we also show that if an operator describing a system possesses a fading memory according to the second definition, then its associated operator has this property, too, but in accordance with the first definition.
Źródło:
International Journal of Electronics and Telecommunications; 2015, 61, 4; Bibliogr. 8 poz.
2300-1933
Pojawia się w:
International Journal of Electronics and Telecommunications
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An equivalent matrix pencil for bivariate polynomial matrices
Autorzy:
Boudellioua, M. S.
Powiązania:
https://bibliotekanauki.pl/articles/908429.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
macierz
układ singularny
teoria niezmienniczości
zera niezmienne
matrix pencils
2-D singular systems
zero-coprime-equivalence
invariant polynomials
invariant zeros
Opis:
In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini’s type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2006, 16, 2; 175-181
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces
Autorzy:
Brandolini, Luca
Colzani, Leonardo
Powiązania:
https://bibliotekanauki.pl/articles/966988.pdf
Data publikacji:
1996
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
rearrangement invariant Banach function spaces
Schrödinger and wave equations
Fourier transform
multipliers
Źródło:
Colloquium Mathematicum; 1996, 71, 2; 273-286
0010-1354
Pojawia się w:
Colloquium Mathematicum
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 123

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