Stability of stochastic systems with semi-Markovian switching and impulses

被引：6

作者：

Chen, Feng ^{[1
]}

Chen, Yuming ^{[2
]}

Zhu, Quanxin

Zhang, Qimin ^{[1
,3
]}

机构：

[1] Ningxia Univ, Sch Math & Stat, Yinchuan 750021, Peoples R China

[2] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

[3] Hunan Normal Univ, Sch Math & Stat, Changsha 410006, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2023年 / 177卷

关键词：

Semi-Markovian switching; Stochastic stability; Multiple Lyapunov function; Average impulse interval; Average impulse gain; H-INFINITY CONTROL; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; SYNCHRONIZATION; NETWORKS; STRATEGY;

D O I：

10.1016/j.chaos.2023.114247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to investigate the stochastic asymptotic stability of semi-Markov switched systems with mixed impulses. A novel definition of average impulse gain is given to estimate the intensity of the mixed impulses. Based on the multiple Lyapunov function approach and average impulse interval method, we provide sufficient conditions on the stochastic asymptotic stability for the semi-Markov switched system with impulses. Moreover, the influence of impulses on the system is estimated by applying the average impulse gain and average impulse interval method, which are not only suitable for synchronous impulses but also for asynchronous impulses. The theoretical results are demonstrated by two examples.

引用

页数：8

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