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Wyszukujesz frazę "system stability analysis" wg kryterium: Temat

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    Wyświetlanie 1-5 z 5
    Tytuł:
    Local analysis of hybrid systems on polyhedral sets with state-dependent switching
    Autorzy:
    Leth, J.
    Wisniewski, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/330556.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    inkluzja różniczkowa
    badanie stabilności
    układ hybrydowy
    stability analysis
    switched system
    hybrid system
    differential inclusion
    Opis:
    This paper deals with stability analysis of hybrid systems. Various stability concepts related to hybrid systems are introduced. The paper advocates a local analysis. It involves the equivalence relation generated by reset maps of a hybrid system. To establish a tangible method for stability analysis, we introduce the notion of a chart, which locally reduces the complexity of the hybrid system. In a chart, a hybrid system is particularly simple and can be analyzed with the use of methods borrowed from the theory of differential inclusions. Thus, the main contribution of this paper is to show how stability of a hybrid system can be reduced to a specialization of the well established stability theory of differential inclusions. A number of examples illustrate the concepts introduced in the paper.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2014, 24, 2; 341-355
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Stability analysis of interconnected discrete-time fractional-order LTI state-space systems
    Autorzy:
    Grzymkowski, Łukasz
    Trofimowicz, Damian
    Stefański, Tomasz P.
    Powiązania:
    https://bibliotekanauki.pl/articles/1838161.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    stability analysis
    discrete time system
    fractional order system
    analiza stabilności
    układ czasu dyskretnego
    układ rzędu ułamkowego
    Opis:
    In this paper, a stability analysis of interconnected discrete-time fractional-order (FO) linear time-invariant (LTI) state-space systems is presented. A new system is formed by interconnecting given FO systems using cascade, feedback, parallel interconnections. The stability requirement for such a system is that all zeros of a non-polynomial characteristic equation must be within the unit circle on the complex z-plane. The obtained theoretical results lead to a numerical test for stability evaluation of interconnected FO systems. It is based on modern root-finding techniques on the complex plane employing triangulation of the unit circle and Cauchy’s argument principle. The developed numerical test is simple, intuitive and can be applied to a variety of systems. Furthermore, because it evaluates the function related to the characteristic equation on the complex plane, it does not require computation of state-matrix eigenvalues. The obtained numerical results confirm the efficiency of the developed test for the stability analysis of interconnected discrete-time FO LTI state-space systems.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2020, 30, 4; 649-658
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A simple scheme for semi-recursive identification of Hammerstein system nonlinearity by Haar wavelets
    Autorzy:
    Śliwiński, P.
    Hasiewicz, Z.
    Wachel, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/330481.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    Hammerstein system
    non parametric recursive identification
    Haar orthogonal expansion
    convergence analysis
    numerical stability
    system Hammersteina
    identyfikacja rekurencyjna nieparametryczna
    analiza zbieżności
    stateczność numeryczna
    Opis:
    A simple semi-recursive routine for nonlinearity recovery in Hammerstein systems is proposed. The identification scheme is based on the Haar wavelet kernel and possesses a simple and compact form. The convergence of the algorithm is established and the asymptotic rate of convergence (independent of the input density smoothness) is shown for piecewise-Lipschitz nonlinearities. The numerical stability of the algorithm is verified. Simulation experiments for a small and moderate number of input-output data are presented and discussed to illustrate the applicability of the routine.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 3; 507-520
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Generalized practical stability analysis of discontinuous dynamical systems
    Autorzy:
    Zhai, G.
    Michel, A. N.
    Powiązania:
    https://bibliotekanauki.pl/articles/907305.pdf
    Data publikacji:
    2004
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    układ dynamiczny nieciągły
    analiza ilościowa
    funkcja Lyapunova
    discontinuous dynamical system
    quantitative analysis
    generalized practical stability
    Lyapunov-like function
    Opis:
    In practice, one is not only interested in the qualitative characterizations provided by the Lyapunov stability, but also in quantitative information concerning the system behavior, including estimates of trajectory bounds, possibly over finite time intervals. This type of information has been ascertained in the past in a systematic manner using the concept of practical stability. In the present paper, we give a new definition of generalized practical stability (abbreviated as GP-stability) and establish some sufficient conditions concerning GP-stability for a wide class of discontinuous dynamical systems. As in the classical Lyapunov theory, our results constitute a Direct Method, making use of auxiliary scalar-valued Lyapunov-like functions. These functions, however, have properties that differ significantly from the usual Lyapunov functions. We demonstrate the applicability of our results by means of several specific examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2004, 14, 1; 5-12
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Normalized finite fractional differences: Computational and accuracy breakthroughs
    Autorzy:
    Stanisławski, R.
    Latawiec, K. J.
    Powiązania:
    https://bibliotekanauki.pl/articles/331334.pdf
    Data publikacji:
    2012
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    różnica ułamkowa
    różnica Grünwalda-Letnikowa
    analiza stabilności
    system adaptacyjny
    fractional difference
    Grünwald-Letnikov difference
    stability analysis
    recursive computation
    adaptive systems
    Opis:
    This paper presents a series of new results in finite and infinite-memory modeling of discrete-time fractional differences. The introduced normalized finite fractional difference is shown to properly approximate its fractional difference original, in particular in terms of the steady-state properties. A stability analysis is also presented and a recursive computation algorithm is offered for finite fractional differences. A thorough analysis of computational and accuracy aspects is culminated with the introduction of a perfect finite fractional difference and, in particular, a powerful adaptive finite fractional difference, whose excellent performance is illustrated in simulation examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2012, 22, 4; 907-919
    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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