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Wyszukujesz frazę "stabilność Lyapunova" wg kryterium: Temat

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    Wyświetlanie 1-5 z 5
    Tytuł:
    Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: a discrete-time case
    Autorzy:
    Zubowicz, T.
    Brdyś, M. A.
    Powiązania:
    https://bibliotekanauki.pl/articles/911226.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    Lyapunov
    stability
    analysis
    fuzzy control
    antiwindup
    stateczność
    sterowanie rozmyte
    stabilność Lyapunova
    Opis:
    This paper addresses the problem of model-based global stability analysis of discrete-time Takagi–Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and a fuzzy Lyapunov function candidate, which has been proven to significantly reduce the conservatism level, although at the cost of increasing the number of LMIs. Two numerical examples illustrate the main result.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 1; 65-73
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An adaptive output feedback motion tracking controller for robot manipulators: Uniform global asymptotic stability and experimentation
    Autorzy:
    Yarza, A.
    Santibanez, V.
    Moreno-Valenzuela, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/330314.pdf
    Data publikacji:
    2013
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    adaptive control
    robot control
    nonlinear control
    output feedback
    Lyapunov UGAS stability
    sterowanie adaptacyjne
    sterowanie robotem
    sterowanie nieliniowe
    sprzężenie zwrotne
    stabilność Lyapunova
    Opis:
    This paper deals with two important practical problems in motion control of robot manipulators: the measurement of joint velocities, which often results in noisy signals, and the uncertainty of parameters of the dynamic model. Adaptive output feedback controllers have been proposed in the literature in order to deal with these problems. In this paper, we prove for the first time that Uniform Global Asymptotic Stability (UGAS) can be obtained from an adaptive output feedback tracking controller, if the reference trajectory is selected in such a way that the regression matrix is persistently exciting. The new scheme has been experimentally implemented with the aim of confirming the theoretical results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2013, 23, 3; 599-611
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination
    Autorzy:
    Ding, D.
    Ma, Q.
    Ding, X.
    Powiązania:
    https://bibliotekanauki.pl/articles/330497.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    nonstandard finite difference
    unconditional positivity
    stability
    Lyapunov function
    metoda różnic skończonych
    stabilność
    funkcja Lyapunova
    Opis:
    In this paper, a NonStandard Finite Difference (NSFD) scheme is constructed, which can be used to determine numerical solutions for an epidemic model with vaccination. Here the NSFD method is employed to derive a set of difference equations for the epidemic model with vaccination. We show that difference equations have the same dynamics as the original differential system, such as the positivity of the solutions and the stability of the equilibria, without being restricted by the time step. Our proof of global stability utilizes the method of Lyapunov functions. Numerical simulation illustrates the effectiveness of our results.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2014, 24, 3; 635-646
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Simple environment for developing methods of controlling chaos in spatially distributed systems
    Autorzy:
    Korus, Ł.
    Powiązania:
    https://bibliotekanauki.pl/articles/907826.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    stabilność układu
    wykładnik Lapunowa
    metoda Lyapunova
    coupled map lattice
    spatiotemporal chaos
    system stability
    Lyapunov exponents
    net direction phase
    Opis:
    The paper presents a simple mathematical model called a coupled map lattice (CML). For some range of its parameters, this model generates complex, spatiotemporal behavior which seems to be chaotic. The main purpose of the paper is to provide results of stability analysis and compare them with those obtained from numerical simulation. The indirect Lyapunov method and Lyapunov exponents are used to examine the dependence on initial conditions. The net direction phase is introduced to measure the symmetry of the system state trajectory. In addition, a real system, which can be modeled by the CML, is presented. In general, this article describes basic elements of environment, which can be used for creating and examining methods of chaos controlling in systems with spatiotemporal dynamics.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2011, 21, 1; 149-159
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A hierarchical decomposition of decision process Petri nets for modeling complex systems
    Autorzy:
    Clempner, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/907753.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    hierarchia
    rozkład
    składnik wielokrotnego użycia
    proces decyzyjny
    stabilność
    optymalizacja
    metoda Lyapunova
    DPPN
    hierarchy
    decomposition
    structuring mechanisms
    re-usable components
    decision process
    stability
    Lyapunov methods
    optimization
    Opis:
    We provide a framework for hierarchical specification called Hierarchical Decision Process Petri Nets (HDPPNs). It is an extension of Decision Process Petri Nets (DPPNs) including a hierarchical decomposition process that generates less complex nets with equivalent behavior. As a result, the complexity of the analysis for a sophisticated system is drastically reduced. In the HDPPN, we represent the mark-dynamic and trajectory-dynamic properties of a DPPN. Within the framework of the mark-dynamic properties, we show that the HDPPN theoretic notions of (local and global) equilibrium and stability are those of the DPPN. As a result in the trajectory-dynamic properties framework, we obtain equivalent characterizations of that of the DPPN for final decision points and stability. We show that the HDPPN mark-dynamic and trajectory-dynamic properties of equilibrium, stability and final decision points coincide under some restrictions. We propose an algorithm for optimum hierarchical trajectory planning. The hierarchical decomposition process is presented under a formal treatment and is illustrated with application examples.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2010, 20, 2; 349-366
    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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