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Robust stochastic stability of uncertain discrete-time impulsive Markovian jump delay systems with multiplicative noises

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  • Yu Zhang
  • Cheng Wang

Abstract

In this paper, the robust stochastic stability is investigated for a class of uncertain discrete-time impulsive Markovian jump delay systems with multiplicative noises. Using the method of stochastic Lyapunov functionals construction, it is shown that impulses can stabilise the original impulse-free unstable systems. Moreover, the stability property of the impulse-free systems can be retained in the cases of appropriately large impulsive time interval. Some numerical examples are exploited to demonstrate the effectiveness and the superiority of the proposed results.

Suggested Citation

  • Yu Zhang & Cheng Wang, 2015. "Robust stochastic stability of uncertain discrete-time impulsive Markovian jump delay systems with multiplicative noises," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(12), pages 2210-2220, September.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:12:p:2210-2220
    DOI: 10.1080/00207721.2013.859329
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    Cited by:

    1. Zhezhe Xin & Chunjie Xiao & Ting Hou & Xiao Shen, 2019. "Robust H ∞ -Control for Uncertain Stochastic Systems with Impulsive Effects," Mathematics, MDPI, vol. 7(12), pages 1-12, December.
    2. Chen, Feng & Chen, Yuming & Zhu, Quanxin & Zhang, Qimin, 2023. "Stability of stochastic systems with semi-Markovian switching and impulses," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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