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Wyświetlanie 1-15 z 37
Tytuł:
On alpha(.)-paraconvex and strongly alpha(.)-paraconvex functions
Autorzy:
Rolewicz, S.
Powiązania:
https://bibliotekanauki.pl/articles/206525.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
funkcja parawypukła
funkcja wypukła
paraconvex functions
strongly paraconvex functions
Opis:
The paper introduces the notion of strongly alpha(.)-paraconvex functions. Relations between strong alpha(.)-paraconvexity and alpha(.)-paraconvexity are investigated.
Źródło:
Control and Cybernetics; 2000, 29, 1; 367-377
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Totally positive polynomials with small length
Autorzy:
Flammang, Valerie
Sac-Épée, Jean-Marc
Powiązania:
https://bibliotekanauki.pl/articles/1839136.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
auxiliary functions
length of polynomials
Opis:
In this work we provide a list of irreducible monic, totally positive polynomials with integer coefficients and lengths below 2.3679d for a degree d polynomial. Our approach combines techniques based on auxiliary functions and mixed-integer linear programming algorithms. The list obtained shows that there are polynomials of this type up to degree 16, with the exception of degree 11 where we are very close to the threshold.
Źródło:
Control and Cybernetics; 2019, 48, 3; 463-471
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized directional derivatives for locally Lipschitz functions which satisfy Leibniz rule
Autorzy:
Grzybowski, J.
Pallaschke, D.
Urbański, R.
Powiązania:
https://bibliotekanauki.pl/articles/970935.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
generalized directional derivatives
point derivations
Lipschitz functions
Opis:
In this paper a concept of a generalized directional derivative, which satisfies Leibniz rule is proposed for locally Lipschitz functions, defined on an open subset of a Banach space. Although Leibniz rule is of less importance for a subdifferential calculus, it is of course of some theoretical interest to know about the existence of generalized directional derivatives which satisfy Leibniz rule. The proposed concept of generalized directional derivatives is adopted from the work of D. R. Sherbert (1964) who determined all point derivations for the Banach algebra of Lipschitz functions over a complete metric space.
Źródło:
Control and Cybernetics; 2007, 36, 4; 911-924
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Paraconvex analysis
Autorzy:
Rolewicz, S.
Powiązania:
https://bibliotekanauki.pl/articles/970560.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
funkcja parawypukła
różniczkowalność Frecheta
alpha(.)-paraconvex functions
Frechet differentiability
Opis:
In the theory of optimization an essential role is played by the differentiability of convex functions. In this paper we shall try to extend the results concerning differentiability to a larger class of functions called strongly alpha(.)-paraconvex. Let (X, (|.||) be a real Banach space. Let f(x) be a real valued strongly alpha(.)-paraconvex function denned on an open convex subset Omega [is a subset is] X, i.e. f(tx+(1-t)y)
Źródło:
Control and Cybernetics; 2005, 34, 3; 951-965
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of sliding-mode feedback control
Autorzy:
Clarke, F. H.
Vinter, R. B.
Powiązania:
https://bibliotekanauki.pl/articles/970887.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sliding-mode control
discontinuous control
Lyapunov functions
stabilization
robustness
Opis:
This paper provides new analytic tools leading to the first rigorous stability and robustness analysis of sliding-mode feedback controllers. Unrestrictive conditions are given, under which these controllers are stabilizing in the presence of large disturbances, conditions invoke the existence of two Lyapunov-type functions, the first associated with passage to the sliding set in finite time, and the second with convergence to the desired state. In this approach, account is taken, from the outset, of implementational constraints. We provide a framework for establishing stability and robustness of the closed-loop system, for a variety of implementation schemes. We illustrate our results by means of two examples of the type frequently encountered in the sliding-mode literature.
Źródło:
Control and Cybernetics; 2009, 38, 4A; 1169-1192
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Weak sharp minima in multiobjective optimization
Autorzy:
Studniarski, M.
Powiązania:
https://bibliotekanauki.pl/articles/970933.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
weak psi-sharp Pareto minima
nonsmooth functions
multiobjective optimization
Opis:
We extend some necessary and sufficient conditions for strict local Pareto minima of order m obtained by Jiménez (2002) to the case of weak ψ-sharp local Pareto minima, i.e., to the case when the local solution is not necessarily unique.
Źródło:
Control and Cybernetics; 2007, 36, 4; 925-937
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Radial basis function level set method for structural optimization
Autorzy:
Myśliński, A.
Powiązania:
https://bibliotekanauki.pl/articles/969887.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
contact problem
structural optimization
level set method
radial basis functions
Opis:
This paper is concerned with simultaneous topology and shape optimization of elastic contact problems. The structural optimization problem for an elastic contact problem consists in finding such topology as well as such shape of the boundary of the domain occupied by the body that the normal contact stress is minimized. Shape and topological derivatives formulae of the cost functional obtained using material derivative and asymptotic expansion methods, respectively, are recalled. These derivatives are employed to formulate the necessary optimality condition and to calculate a descent direction in a numerical algorithm. Level set based method is employed in numerical algorithm for tracking the evolution of the domain boundary on a fixed mesh and finding an optimal domain. In order to increase the efficiency of the level set based numerical algorithm, the radial basis function approach is used to solve the equation governing domain boundary evolution. Numerical examples are provided and discussed.
Źródło:
Control and Cybernetics; 2010, 39, 3; 627-645
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An approach to finding trade-off solutions by a linear transformation of objective functions
Autorzy:
Podkopaev, D.
Powiązania:
https://bibliotekanauki.pl/articles/970405.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
multiple objective optimization
trade-offs
linear transformation of objective functions
Opis:
We address the problem of deriving Pareto optimal solutions of multiple objective optimization problems with predetermined upper bounds on trade-offs. As shown, this can be achieved by a linear transformation of objective functions. Each non-diagonal element of the transformation matrix is related to a bound on the trade-off between a pair of the objective functions.
Źródło:
Control and Cybernetics; 2007, 36, 2; 347-355
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On [sigma]-porous and [Phi]-angle-small sets in metric spaces
Autorzy:
Rolewicz, S.
Powiązania:
https://bibliotekanauki.pl/articles/970531.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
zbiór porowaty
porous set
k-monotone family of Lipschitz functions
Opis:
It is shown that in metric spaces each [alpha, phi)-meagre set A is uniformly very porous and its index of uniform v-porosity is not smaller than [k-alpha/3k+alpha] provided that [phi] is a strictly k-monotone family of Lipschitz functions and [alpha] < k. The paper contains also conditions implying that a k-monotone family of Lipschitz functions is strictly k-monotone.
Źródło:
Control and Cybernetics; 2003, 32, 3; 671-681
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonconvex minimization related to quadratic double-well energy - approximation by convex problemsenergy – approximation by convex problems
Autorzy:
Naniewicz, Z.
Puchała, P.
Powiązania:
https://bibliotekanauki.pl/articles/205686.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
nonconvex integrand
minimum of convex functions
duality
parameterized Young measures
Opis:
A double-well energy expressed as a minimum of two quadratic functions, called phase energies, is studied taking into account minimization of the corresponding integral functional. Such integral, as being not sequentially weakly lower semicontinuous, does not admit classical minimizers. To derive the relaxation formula for the infimum, the appropriate minimizing sequence is constructed. It consists of solutions of some approximating convex problems involving characteristic functions related to the phase energies. The weak limit of this sequence and the weak limit of the sequence of solutions of dual problems combined with the weak-star limits of the characteristic functions related to the phase energies allow to establish the final relaxation formula. It is also shown that infimum can be expressed by the Young measure associated with constructed minimizing sequence. An explicit form of Young measure in some regions of the involved domain is calculated.
Źródło:
Control and Cybernetics; 2012, 41, 3; 525-543
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinearity of the round function
Autorzy:
Kontak, M.
Szmidt, J.
Powiązania:
https://bibliotekanauki.pl/articles/1839189.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Boolean functions
substitution boxes
Walsh transform
linear cryptanalysis
TGR algorithm
Opis:
In the paper we present the results which enable to calculate the nonlinearity of the round function with quite large dimensions, e.g. 32 x 32 bits, which are used in some block ciphers. It can be used to estimate resistance of these ciphers against linear cryptanalysis. We give the application to linear cryptanalysis of the TGR block cipher.
Źródło:
Control and Cybernetics; 2007, 36, 4; 1037-1044
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Examples and counterexamples in Lipschitz analysis
Autorzy:
Fusek, P.
Klatte, D.
Kummer, B.
Powiązania:
https://bibliotekanauki.pl/articles/206846.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
funkcja Lipschitza
nieprawidłowa funkcja Lipschitza
pochodna uogólniona
zastosowanie punktów stałych
application to stationary points
generalized derivatives
Lipschitz (multi-)functions
pathological Lipschitz functions
regularity concepts
Opis:
In the analysis of functions and multi-valued mappings of Lipschitzian type, there are many different notions of Lipschitz behavior, regularity and generalized derivatives. We collect relevant examples illustrating the interrelations between various concepts, the differences with the smooth case, and the importance of certain assumptions and special classes of Lipschitz mappings in applications.
Źródło:
Control and Cybernetics; 2002, 31, 3; 471-492
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On approximately Breckner s-convex functions
Autorzy:
Burai, P.
Hazy, A.
Juhasz, T.
Powiązania:
https://bibliotekanauki.pl/articles/205651.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
convexity
approximate convexity
s-convexity
regularity properties of generalized convex functions
Opis:
The main goal of this paper is to consider the regularity and convexity properties of a given type of approximately generalized convex functions, namely approximately Breckner s-convex functions (see the origin of the definition in Breckner, 1978). Our main result is a Bernstein-Doetsch type one. It is proved that the local boundedness of such a type of function from above at a point of its domain implies approximate convexity and stronger regularity properties of the function in question on the whole domain.
Źródło:
Control and Cybernetics; 2011, 40, 1; 91-99
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non-Gaussian statistical measures of control performance
Autorzy:
Domański, P. D.
Powiązania:
https://bibliotekanauki.pl/articles/206277.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Control Performance Assessment
statistical measures
PID
disturbance shadowing
non-Gaussian functions
Opis:
Statistical approach to Control Performance Assessment (CPA) is of great practical importance. This is particularly visible in process industry, where there are many PID loops. They are often assessed with measures derived from the Gaussian probabilistic density function. Standard deviation, variance, skewness or kurtosis form the majority of applied indexes. The review of data originating from process industry shows, however, to the contrary, that these signals have rather non-Gaussian properties and are mostly characterized by fat-tailed distribution disable the ability. Investigations show that strong disturbances may significantly disable the capacity of proper assessment. Standard measures often fail in such cases. It is shown that non-Gaussian measures can help with this problem. Various disturbances are tested and compared. Results show that fat-tailed distributions are an interesting alternative. They are less sensitive to disturbance shadowing and still make possible loop dynamic assessment.
Źródło:
Control and Cybernetics; 2017, 46, 3; 259-290
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sufficient conditions and duality for multiobjective variational problems with generalized B-invexity
Autorzy:
Aghezzaf, B.
Khazafi, K.
Powiązania:
https://bibliotekanauki.pl/articles/970415.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sufficient conditions
mixed type duality
multiobjective variational programming
efficient solution
B-type I vector-valued functions
generalized B-type I vector-valued functions
rozwiązanie efektywne
warunek wystarczający
Opis:
In this paper, we consider the multiobjective variational problem. We propose a class of generalized B-type I vector-valued functions and use this concept to establish sufficient optimality conditions and mixed type duality results
Źródło:
Control and Cybernetics; 2004, 33, 1; 113-126
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 37

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