Mean-square integral input-to-state stability of nonlinear impulsive semi-Markov jump delay systems

被引：11

作者：

Lin, Yu ^{[1
]}

Zhang, Yu ^{[2
]}

Bloch, Anthony ^{[3
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China

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

[3] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2021年 / 358卷 / 04期

关键词：

STOCHASTIC STABILITY; DYNAMICAL NETWORKS; LYAPUNOV FUNCTION; SWITCHED SYSTEMS; LINEAR-SYSTEMS; STABILIZATION; SYNCHRONIZATION;

D O I：

10.1016/j.jfranklin.2021.01.019

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 paper, the problem of mean-square integral input-to-state stability of nonlinear impulsive semi-Markov jump delay systems is investigated. By using stochastic Lyapunov functions together with Razumikhin technique, some sufficient conditions for mean-square integral input-to-state stability for a class of nonlinear impulsive semi-Markov jump delay systems are developed. In particular, the results obtained generalize and complement some recent literature. Finally, some numerical examples are given to show the effectiveness and advantages of the proposed techniques. (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：2453 / 2481

页数：29

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