Noise-to-state stability of random impulsive delay systems with multiple random impulses

Likang Feng, Weihai Zhang and Zhaojing Wu

Applied Mathematics and Computation, 2023, vol. 436, issue C

Abstract: This paper investigates the noise-to-state stability of random impulsive delay systems with multiple random impulses, whose random impulsive amplitude is driven by a homogeneous irreducible aperiodic Markov chain. Firstly, some sufficient conditions for the existence-and-uniqueness of the global solution are given for random impulsive systems with time-varying delay. Secondly, the noise-to-state stability criteria are proposed based on the approaches of mode-dependent average impulsive interval and the average impulsive interval respectively. Finally, the effectiveness is verified by the simulation results.

Keywords: Random impulsive systems; Multiple random impulses; Time-varying delay; Mode-dependent average impulsive interval; Noise-to-state stability (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:436:y:2023:i:c:s0096300322005914

DOI: 10.1016/j.amc.2022.127517

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