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Input-to-state stability of discrete-time switched nonlinear systems with generalized switching signals

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  • Zhou, Lei
  • Ding, Hui
  • Xiao, Xiaoqing

Abstract

This paper investigates the input-to-state stability (ISS) for discrete-time switched nonlinear system (DTSNS) with generalized switching signals, which contains some subsystems that are not input-to-state stable (non-ISS). Sufficient conditions are proposed to guarantee the ISS of the considered DTSNS, provided that the switching is not too fast and the activation time of non-ISS subsystems is comparatively short. Some improvements are made when comparing with the existing related results, which is illustrated by a numerical example.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320306809
    DOI: 10.1016/j.amc.2020.125727
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    References listed on IDEAS

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    1. Xiao, Xiaoqing & Park, Ju H. & Zhou, Lei, 2018. "Event-triggered control of discrete-time switched linear systems with packet losses," Applied Mathematics and Computation, Elsevier, vol. 333(C), pages 344-352.
    2. Yu, Qiang & Zhao, Xudong, 2016. "Stability analysis of discrete-time switched linear systems with unstable subsystems," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 718-725.
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    Cited by:

    1. Gao, Lijun & Liu, Zihan & Yang, Suo, 2024. "Input-to-state stability in probability of constrained impulsive switched delayed systems with unstable subsystems," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    2. 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).
    3. Yu, Peilin & Deng, Feiqi, 2022. "Stabilization analysis of Markovian asynchronous switched systems with input delay and Lévy noise," Applied Mathematics and Computation, Elsevier, vol. 422(C).

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