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Robust stochastic stability and H∞ performance for a class of uncertain impulsive stochastic systems

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  • Dong, Yuewu
  • Sun, Jitao

Abstract

In this paper, we discuss the problem of robust stochastic stability and H∞ performance for a class of uncertain impulsive stochastic systems under sampled measurements. The parameter uncertainties are assumed to be time-varying and value-bounded. We give a sufficient condition in terms of certain linear matrix inequalities (LMIs) to guarantee the uncertain impulsive stochastic system to be robustly stochastically stable. Furthermore, we discuss a stochastically stable filter, using the locally sampled measurements, which ensures both the stochastic stability and a prescribed level of H∞ performance for the filtering error system for all admissible uncertainties. We give a sufficient condition for the existence of such a filter and an explicit expression of a desired filter if relevant conditions are satisfied.

Suggested Citation

  • Dong, Yuewu & Sun, Jitao, 2005. "Robust stochastic stability and H∞ performance for a class of uncertain impulsive stochastic systems," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1491-1498.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:5:p:1491-1498
    DOI: 10.1016/j.chaos.2005.04.013
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    Cited by:

    1. Wei, Guoliang & Shu, Huisheng, 2007. "H∞ filtering on nonlinear stochastic systems with delay," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 663-670.
    2. Zhang, Xiaohong & Khadra, Anmar & Yang, Dan & Li, Dong, 2009. "Analysis and design for unified exponential stability of three different impulsive T–S fuzzy systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1559-1566.

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