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    Wyświetlanie 1-5 z 5
    Tytuł:
    On Delay-Dependent Stability for Neutral Delay-Differential Systems
    Autorzy:
    Han, Q. L.
    Powiązania:
    https://bibliotekanauki.pl/articles/908069.pdf
    Data publikacji:
    2001
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    opóźnienie czasowe
    opóźnienie zależne
    stability
    time delay
    neutral system
    linear matrix inequality (LMI)
    Opis:
    This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2001, 11, 4; 965-976
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties
    Autorzy:
    Balasubramaniam, P.
    Lakshmanan, S.
    Rakkiyappan, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/331417.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    opóźnienie zależne
    liniowa nierówność macierzowa
    system stochastyczny
    stabilność odporna
    delay-dependent stability
    linear matrix inequality
    Lyapunov-Krasovskii functional
    stochastic systems
    Opis:
    This paper studies an LMI optimization problem of delay-dependent robust stability criteria for stochastic systems with polytopic and linear fractional uncertainties. The delay is assumed to be time-varying and belong to a given interval, which means that lower and upper bounds of this interval time-varying delay are available. The uncertainty under consideration includes polytopic-type uncertainty and linear fractional norm-bounded uncertainty. Based on the new Lyapunov-Krasovskii functional, some inequality techniques and stochastic stability theory, delay-dependent stability criteria are obtained in terms of Linear Matrix Inequalities (LMIs). Moreover, the derivative of time delays is allowed to take any value. Finally, four numerical examples are given to illustrate the effectiveness of the proposed method and to show an improvement over some results found in the literature.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 2; 339-351
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Delay-dependent generalized H2 control for discrete T-S fuzzy large-scale stochastic systems with mixed delays
    Autorzy:
    Li, J.
    Xia, Z.
    Powiązania:
    https://bibliotekanauki.pl/articles/930162.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    system stochastyczny
    opóźnienie zależne
    liniowa nierówność macierzowa
    fuzzy large scale stochastic system
    delay-dependent
    generalized H2 control
    infinite distributed delays
    linear matrix inequality
    Opis:
    This paper is concerned with the problem of stochastic stability and generalized H2 control for discrete-time fuzzy largescale stochastic systems with time-varying and infinite-distributed delays. Large-scale interconnected systems consist of a number of discrete-time interconnected Takagi-Sugeno (T-S) subsystems. First, a novel Delay-Dependent Piecewise Lyapunov-Krasovskii Functional (DDPLKF0 is proposed, in which both the upper and the lower bound of delays are considered. Then, two improved delay-dependent stability conditions are established based on this DDPLKF in terms of Linear Matrix Inequalities (LMIs). The merit of the proposed conditions lies in its reduced conservatism, which is achieved by circumventing the utilization of some bounding inequalities for cross products of two vectors and by considering the interactions among the fuzzy subsystems in each subregion. A decentralized generalized H2 state feedback fuzzy controller is designed for each subsystem. It is shown that the mean-square stability for discrete T-S fuzzy large-scale stochastic systems can be established if a DDPLKF can be constructed and a decentralized controller can be obtained by solving a set of LMIs. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 4; 585-603
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Anti-periodic solutions for Clifford-valued high-order Hopfield neural networks with state-dependent and leakage delays
    Autorzy:
    Huo, Nina
    Li, Bing
    Li, Yongkun
    Powiązania:
    https://bibliotekanauki.pl/articles/330171.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    Hopfield neural network
    anti-periodic solution
    coincidence degree
    time-varying delay
    sieć neuronowa Hopfielda
    stopień koincydencji
    opóźnienie czasowo zależne
    Opis:
    A class of Clifford-valued high-order Hopfield neural networks (HHNNs) with state-dependent and leakage delays is considered. First, by using a continuation theorem of coincidence degree theory and the Wirtinger inequality, we obtain the existence of anti-periodic solutions of the networks considered. Then, by using the proof by contradiction, we obtain the global exponential stability of the anti-periodic solutions. Finally, two numerical examples are given to illustrate the feasibility of our results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2020, 30, 1; 83-98
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Observer-based controller design of time-delay systems with an interval time-varying delay
    Autorzy:
    Thuan, M. V.
    Phat, V. N.
    Trinh, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/331338.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    sprzężenie zwrotne
    opóźnienie czasowo zależne
    liniowa nierówność macierzowa
    funkcjonał Lapunowa-Krasowskiego
    stabilność wykładnicza
    observer based feedback control
    interval time-varying delay
    linear matrix inequality
    Lyapunov-Krasovskii functional
    exponential stability
    Opis:
    This paper considers the problem of designing an observer-based output feedback controller to exponentially stabilize a class of linear systems with an interval time-varying delay in the state vector. The delay is assumed to vary within an interval with known lower and upper bounds. The time-varying delay is not required to be differentiable, nor should its lower bound be zero. By constructing a set of Lyapunov-Krasovskii functionals and utilizing the Newton-Leibniz formula, a delay-dependent stabilizability condition which is expressed in terms of Linear Matrix Inequalities (LMIs) is derived to ensure the closed-loop system is exponentially stable with a prescribed \alfa-convergence rate. The design of an observer based output feedback controller can be carried out in a systematic and computationally efficient manner via the use of an LMI-based algorithm. A numerical example is given to illustrate the design procedure.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 4; 921-927
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-5 z 5

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