Stochastic stability of non-linear impulsive semi-Markov jump systems

被引：14

作者：

Lin, Yu ^{[1
]}

Zhang, Yu ^{[1
]}

机构：

[1] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2019年 / 13卷 / 11期

关键词：

time-varying systems; stochastic systems; stability; Lyapunov methods; continuous time systems; stochastic stability; stochastic Lyapunov functions; nonlinear impulsive semiMarkov jump systems; unbounded transition rates; sufficient conditions; LINEAR-SYSTEMS; DIFFERENTIAL-EQUATIONS; ROBUST STABILIZATION; DYNAMICAL NETWORKS; SYNCHRONIZATION; UNIQUENESS; EXISTENCE;

D O I：

10.1049/iet-cta.2018.6383

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this study, the problem of stochastic stability of non-linear impulsive semi-Markov jump systems is investigated. Using the method of stochastic Lyapunov functions, the authors develop some sufficient conditions about stochastic stability for a class of non-linear impulsive semi-Markov jump systems with unbounded transition rates. Particularly, the obtained results generalise and complement some published literatures. Finally, some examples are given to show the effectiveness and advantages of the proposed results.

引用

页码：1753 / 1760

页数：8

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