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

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  • Feng, Likang
  • Zhang, Weihai
  • Wu, Zhaojing

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.

Suggested Citation

  • Feng, Likang & Zhang, Weihai & Wu, Zhaojing, 2023. "Noise-to-state stability of random impulsive delay systems with multiple random impulses," Applied Mathematics and Computation, Elsevier, vol. 436(C).
    • Handle: RePEc:eee:apmaco:v:436:y:2023:i:c:s0096300322005914
    DOI: 10.1016/j.amc.2022.127517
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    References listed on IDEAS

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    1. Zhang, Meng & Zhao, Yi & Chen, Lansun & Li, Zeyu, 2020. "State feedback impulsive modeling and dynamic analysis of ecological balance in aquaculture water with nutritional utilization rate," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    2. Wang, Huamin & Wei, Guoliang & Wen, Shiping & Huang, Tingwen, 2021. "Impulsive disturbance on stability analysis of delayed quaternion-valued neural networks," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    3. Yu, Nanxiang & Zhu, Wei, 2021. "Event-triggered impulsive chaotic synchronization of fractional-order differential systems," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    4. Ding, Dong & Tang, Ze & Wang, Yan & Ji, Zhicheng, 2021. "Secure synchronization of complex networks under deception attacks against vulnerable nodes," Applied Mathematics and Computation, Elsevier, vol. 399(C).
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