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SCIENCE CHINA Information Sciences, Volume 64 , Issue 1 : 112206(2021) https://doi.org/10.1007/s11432-019-2726-0

Stability analysis for semi-Markovian switched stochastic systems with asynchronously impulsive jumps

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  • ReceivedJul 5, 2019
  • AcceptedDec 2, 2019
  • PublishedDec 16, 2020

Abstract

The almost surely (a.s.) exponential stability is studied for semi-Markovian switched stochastic systems with randomly impulsive jumps. We start from the case that switches and impulses occur synchronously, in which the impulsive switching signal is a semi-Markovian process. For the case that switches and impulses occur asynchronously, the impulsive arrival time sequence and the types of jump maps are driven by a renewal process and a Markov chain, respectively. By applying the multiple Lyapunov function approach, sufficient conditions of exponential stability a.s. are obtained based upon the ergodic property of semi-Markovian process. The validity of the proposed theoretical results is demonstrated by a numerical example.


Acknowledgment

This work was supported by National Natural Science Foundation of China (Grant No. 11571322).


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