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Stability analysis of discrete-time switched stochastic non-autonomous systems with external inputs and time-varying delays under partially unstable subsystems

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  • Fan, Lina
  • Lv, Yuan
  • Zhu, Quanxin

Abstract

This paper addresses the globally stochastically exponentially input-to-state stability (ISS) and ISS of discrete-time switched stochastic systems with partially unstable subsystems under the influence of time-varying delays and external input by applying the mode-dependent average dwell time and the multiple Lyapunov-Krasovskii functional. Some main idea of the research is overcome the influences caused by partially unstable subsystems in the switching subsystems and time-varying delays. Some new stability criteria based on the related systems are derived, these criteria extend many models and relax some restrictions compared to previous work. Finally, we use two examples to verify the effectiveness of our study.

Suggested Citation

  • Fan, Lina & Lv, Yuan & Zhu, Quanxin, 2023. "Stability analysis of discrete-time switched stochastic non-autonomous systems with external inputs and time-varying delays under partially unstable subsystems," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    • Handle: RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008542
    DOI: 10.1016/j.amc.2022.127786
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    References listed on IDEAS

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    1. Alwan, Mohamad S. & Liu, Xinzhi, 2015. "Stability and input-to-state stability for stochastic systems and applications," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 450-461.
    2. Zhou, Lei & Ding, Hui & Xiao, Xiaoqing, 2021. "Input-to-state stability of discrete-time switched nonlinear systems with generalized switching signals," Applied Mathematics and Computation, Elsevier, vol. 392(C).
    3. You, Surong & Hu, Liangjian & Mao, Wei & Mao, Xuerong, 2015. "Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations," Statistics & Probability Letters, Elsevier, vol. 102(C), pages 8-16.
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