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Interval stability/stabilization for linear stochastic switched systems with time-varying delay

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  • Deng, Yalin
  • Zhang, Huasheng
  • Dai, Yuzhen
  • Li, Yuanen

Abstract

In this paper, the interval stability/stabilization of linear stochastic switched time-varying delay systems are considered. Firstly, the interval stability is defined and the sufficient conditions for the interval stability of linear stochastic switched systems are addressed. Different from current stability conditions, the interval stability criterion can make more accurate judgment than stability of linear stochastic switched time-varying delay systems. Secondly, the criterion of interval stabilization is gained by linear matrix inequalities, which can not merely ensure the stability of the system, but also accelerate or slow down the convergence of the system. Finally, the validity of the theoretical results is verified by a digital simulation and water quality preservation problem.

Suggested Citation

  • Deng, Yalin & Zhang, Huasheng & Dai, Yuzhen & Li, Yuanen, 2022. "Interval stability/stabilization for linear stochastic switched systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    • Handle: RePEc:eee:apmaco:v:428:y:2022:i:c:s0096300322002752
    DOI: 10.1016/j.amc.2022.127201
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    References listed on IDEAS

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    Cited by:

    1. Li, Yuanen & Zhang, Huasheng & Zhang, Tingting & Geng, Han, 2023. "Interval stability/stabilization and H∞ feedback control for linear impulsive stochastic systems," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    2. Qi, Yiwen & Qu, Ziyu & Yao, Zhaohui & Zhao, Xiujuan & Tang, Yiwen, 2023. "Event-Triggered iterative learning control for asynchronously switched systems," Applied Mathematics and Computation, Elsevier, vol. 440(C).

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