Stabilization analysis of Markovian asynchronous switched systems with input delay and Lévy noise
作者：
Highlights：
• We get the pth (p≥2) moment exponential stability of Markovian asynchronous switched systems with Léevy noise and input delay by Lyapunov functional approach.
• The almost sure exponential stability of hybrid stochastic system with input delay and Léevy noise is investigated for sufficiently small time delay by Lyapunov function candidate and comparison principle.
• Both switching signals and systems state have input delays.
• Make full use of the Markov chain of the dynamic equation and the coupling between the shift part and the diffusion part.
摘要
•We get the pth (p≥2) moment exponential stability of Markovian asynchronous switched systems with Léevy noise and input delay by Lyapunov functional approach.•The almost sure exponential stability of hybrid stochastic system with input delay and Léevy noise is investigated for sufficiently small time delay by Lyapunov function candidate and comparison principle.•Both switching signals and systems state have input delays.•Make full use of the Markov chain of the dynamic equation and the coupling between the shift part and the diffusion part.
论文关键词：Asynchronous switching,pth moment exponential stabilization,Input delay,Lévy noise,Almost sure exponential stabilization
论文评审过程：Received 13 August 2021, Revised 15 December 2021, Accepted 21 January 2022, Available online 3 February 2022, Version of Record 3 February 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.126972
