Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 20

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych:  asymptotic stability
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

The stability of Markov operators on Polish spaces

100%
Szarek T.
Studia Mathematica
|
2000
|
tom 143
|
nr 2
145-152
EN
A sufficient condition for the asymptotic stability of Markov operators acting on measures defined on Polish spaces is presented.
2
Content available remote

Stability of Markov processes nonhomogeneous in time

80%
Tyran-Kamińska M.
Annales Polonici Mathematici
|
1999
|
tom 71
|
nr 1
47-59
EN
We study the asymptotic behaviour of discrete time processes which are products of time dependent transformations defined on a complete metric space. Our sufficient condition is applied to products of Markov operators corresponding to stochastically perturbed dynamical systems and fractals.
3
Content available remote

Asymptotic stability of a partial differential equation with an integral perturbation

80%
Pichór K.
Annales Polonici Mathematici
|
1998
|
tom 68
|
nr 1
83-96
EN
We study the asymptotic behaviour of the Markov semigroup generated by an integro-partial differential equation. We give new sufficient conditions for asymptotic stability of this semigroup.
4
Content available remote

Independence of asymptotic stability of positive 2D linear systems with delays of their delays

80%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2009
|
tom 19
|
nr 2
255-261
EN
It is shown that the asymptotic stability of positive 2D linear systems with delays is independent of the number and values of the delays and it depends only on the sum of the system matrices, and that the checking of the asymptotic stability of positive 2D linear systems with delays can be reduced to testing that of the corresponding positive 1D systems without delays. The effectiveness of the proposed approaches is demonstrated on numerical examples.
5
Content available remote

On the strong convergence to equilibrium of the Foiaş solutions of the transport equation

80%
Malczak J.
Annales Polonici Mathematici
|
1992
|
tom 57
|
nr 2
193-203
EN
We define the Foiaş solutions of the transport equation and we prove that the strong asymptotic stability of the Foiaş solutions is equivalent to the asymptotic stability of the solutions of the transport equation in L¹.
6
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

A constructive method for solving stabilization problems

80%
Azhmyakov V.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
2000
|
tom 20
|
nr 1
51-62
EN
The problem of asymptotic stabilization for a class of differential inclusions is considered. The problem of choosing the Lyapunov functions from the parametric class of polynomials for differential inclusions is reduced to that of searching saddle points of a suitable function. A numerical algorithm is used for this purpose. All the results thus obtained can be extended to cover the discrete systems described by difference inclusions.
7
Content available remote

On asymptotic cyclicity of doubly stochastic operators

80%
Bartoszek W.
Annales Polonici Mathematici
|
1999
|
tom 72
|
nr 2
145-152
EN
It is proved that a doubly stochastic operator P is weakly asymptotically cyclic if it almost overlaps supports. If moreover P is Frobenius-Perron or Harris then it is strongly asymptotically cyclic.
8
Content available remote

The choice of the forms of Lyapunov functions for a positive 2D Roesser model

80%
Kaczorek T.
International Journal of Applied Mathematics and Computer Science
|
2007
|
tom 17
|
nr 4
471-475
EN
The appropriate choice of the forms of Lyapunov functions for a positive 2D Roesser model is addressed. It is shown that for the positive 2D Roesser model: (i) a linear form of the state vector can be chosen as a Lyapunov function, (ii) there exists a strictly positive diagonal matrix P such that the matrix A^{T}PA-P is negative definite. The theoretical deliberations will be illustrated by numerical examples.
9
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

Asymptotic behaviour in the set of nonhomogeneous chains of stochastic operators

80%
Pułka M.
Discussiones Mathematicae Probability and Statistics
|
2012
|
tom 32
|
nr 1-2
17-33
EN
We study different types of asymptotic behaviour in the set of (infinite dimensional) nonhomogeneous chains of stochastic operators acting on L¹(μ) spaces. In order to examine its structure we consider different norm and strong operator topologies. To describe the nature of the set of nonhomogeneous chains of Markov operators with a particular limit behaviour we use the category theorem of Baire. We show that the geometric structure of the set of those stochastic operators which have asymptotically stationary density differs depending on the considered topologies.
10
Content available remote

Asymptotic stability of densities for piecewise convex maps

80%
Inoue T.
Annales Polonici Mathematici
|
1992
|
tom 57
|
nr 1
83-90
EN
We study the asymptotic stability of densities for piecewise convex maps with flat bottoms or a neutral fixed point. Our main result is an improvement of Lasota and Yorke's result ([5], Theorem 4).
11
Content available remote

The asymptotical stability of a dynamic system uppercasewith structural damping

80%
Hou X.
International Journal of Applied Mathematics and Computer Science
|
2003
|
tom 13
|
nr 2
131-138
EN
A dynamic system with structural damping described by partial differential equations is investigated. The system is first converted to an abstract evolution equation in an appropriate Hilbert space, and the spectral and semigroup properties of the system operator are discussed. Finally, the well-posedness and the asymptotical stability of the system are obtained by means of a semigroup of linear operators.
12
Content available remote

Random Dynamical Systems with Jumps and with a Function Type Intensity

80%
Kubieniec J.
Annales Mathematicae Silesianae
|
2016
|
tom 30
|
nr 1
63-87
EN
In paper [4] there are considered random dynamical systems with randomly chosen jumps acting on Polish spaces. The intensity of this process is a constant λ. In this paper we formulate criteria for the existence of an invariant measure and asymptotic stability for these systems in the case when λ is not constant but a Lipschitz function.
13
Content available remote

Strong Unique Ergodicity of Random Dynamical Systems on Polish Spaces

80%
Płonka P.
Annales Mathematicae Silesianae
|
2016
|
tom 30
|
nr 1
129-142
EN
In this paper we want to show the existence of a form of asymptotic stability of random dynamical systems in the sense of L. Arnold using arguments analogous to those presented by T. Szarek in [6], that is showing it using conditions generalizing the notion of tightness of measures. In order to do that we use tightness theory for random measures as developed by H. Crauel in [2].
14
Content available remote

Randomly connected dynamical systems - asymptotic stability

80%
Horbacz K.
Annales Polonici Mathematici
|
1998
|
tom 68
|
nr 1
31-50
EN
We give sufficient conditions for asymptotic stability of a Markov operator governing the evolution of measures due to the action of randomly chosen dynamical systems. We show that the existence of an invariant measure for the transition operator implies the existence of an invariant measure for the semigroup generated by the system.
15
Content available remote

Markov operators: applications to diffusion processes and population dynamics

80%
Rudnicki R.
Applicationes Mathematicae
|
2000
|
tom 27
|
nr 1
67-79
EN
This note contains a survey of recent results concerning asymptotic properties of Markov operators and semigroups. Some biological and physical applications are given.
16
Content available remote

Asymptotic properties of Markov operators defined by Volterra type integrals

71%
Baron K., Lasota A.
Annales Polonici Mathematici
|
1993
|
tom 58
|
nr 2
161-175
EN
New sufficient conditions for asymptotic stability of Markov operators are given. These criteria are applied to a class of Volterra type integral operators with advanced argument.
17
Content available remote

On the constrained controllability of dynamical systems with multiple delays in the state

71%
Sikora B.
International Journal of Applied Mathematics and Computer Science
|
2003
|
tom 13
|
nr 4
469-479
EN
Linear stationary dynamical systems with multiple constant delays in the state are studied. Their relative and approximate controllability properties with constrained controls are discussed. Definitions of various types of controllability with constrained controls for systems with delays in the state are introduced. Some theorems concerning the relative and the approximate relative controllability with constrained controls for dynamical systems with delays in the state are established. Various types of constraints are considered. Numerical examples illustrate the theoretical analysis. An example of a real technical dynamical system is given to indicate one of possible practical applications of the theoretical results.
18
Content available remote

Markov operators on the space of vector measures; coloured fractals

71%
Baron K., Lasota A.
Annales Polonici Mathematici
|
1998
|
tom 69
|
nr 3
217-234
EN
We consider the family 𝓜 of measures with values in a reflexive Banach space. In 𝓜 we introduce the notion of a Markov operator and using an extension of the Fortet-Mourier norm we show some criteria of the asymptotic stability. Asymptotically stable Markov operators can be used to construct coloured fractals.
19
Content available remote

Asymptotic stability in the Schauder fixed point theorem

61%
Shih M.-H., Wu J.-W.
Studia Mathematica
|
1998
|
tom 131
|
nr 2
143-148
EN
This note presents a theorem which gives an answer to a conjecture which appears in the book Matrix Norms and Their Applications by Belitskiĭ and Lyubich and concerns the global asymptotic stability in the Schauder fixed point theorem. This is followed by a theorem which states a necessary and sufficient condition for the iterates of a holomorphic function with a fixed point to converge pointwise to this point.
20
Content available remote

A quantitative asymptotic theorem for contraction semigroups with countable unitary spectrum

61%
J. K. Batty C., Brzeźniak Z., Greenfield D. A.
Studia Mathematica
|
1996
|
tom 121
|
nr 2
167-183
EN
Let T be a semigroup of linear contractions on a Banach space X, and let $X_{s}(T) = {x ∈ X : lim_{s→∞} ∥T(s)x∥ = 0}$. Then $X_{s}(T)$ is the annihilator of the bounded trajectories of T*. If the unitary spectrum of T is countable, then $X_{s}(T)$ is the annihilator of the unitary eigenvectors of T*, and $lim_{s} ∥T(s)x∥ = inf{∥x-y∥ : y ∈ X_{s}(T)}$ for each x in X.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.