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2009 | 19 | 4 | 589-595
Tytuł artykułu

Controllability of nonlinear impulsive Ito type stochastic systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this article, we consider finite dimensional dynamical control systems described by nonlinear impulsive Ito type stochastic integrodifferential equations. Necessary and sufficient conditions for complete controllability of nonlinear impulsive stochastic systems are formulated and proved under the natural assumption that the corresponding linear system is appropriately controllable. A fixed point approach is employed for achieving the required result.
Rocznik
Tom
19
Numer
4
Strony
589-595
Opis fizyczny
Daty
wydano
2009
otrzymano
2008-10-02
poprawiono
2009-05-08
Twórcy
  • Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea
Bibliografia
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  • Klamka, J. (2000). Schauders fixed-point theorem in nonlinear controllability problems, Control and Cybernetics 29(1): 153-165.
  • Klamka, J. (2007a). Stochastic controllability of linear systems with delay in control, Bulletin of the Polish Academy of Sciences: Technical Sciences 55(1): 23-29.
  • Klamka, J. (2007b). Stochastic controllability of linear systems with state delays, International Journal of Applied Mathematics and Computer Science 17(1): 5-13.
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  • Liu, B., Liu, X. Z. and Liao, X. X. (2007). Existence and uniqueness and stability of solutions for stochastic impulsive systems, Journal of Systems Science and Complexity 20(1): 149-158.
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  • Mahmudov, N. I. and Zorlu, S. (2003). Controllability of nonlinear stochastic systems, International Journal of Control 76(2): 95-104.
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  • Murge, M. G. and Pachpatte, B. G. (1986b). On generalized Ito type stochastic integral equation, Yokohama Mathematical Journal 34(1-2): 23-33.
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  • Respondek, J. (2005). Numerical approach to the non-linear diofantic equations with applications to the controllability of infinite dimensional dynamical systems, International Journal of Control 78(13): 1017-1030.
  • Respondek, J. S. (2007). Numerical analysis of controllability of diffusive-convective system with limited manipulating variables, International Communications in Heat and Mass Transfer 34(8): 934-944.
  • Respondek, J. S. (2008). Approximate controllability of infinite dimensional systems of the n-th order, International Journal of Applied Mathematics and Computer Science 18(2): 199-212.
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Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv19i4p589bwm
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