Stability analysis of some classes of nonlinear switched systems with time delay

被引：9

作者：

Aleksandrov, Alexander ^{[1
]}

Aleksandrova, Elena ^{[1
]}

Zhabko, Alexei ^{[1
]}

机构：

[1] St Petersburg State Univ, Fac Appl Math & Control Proc, Univ Skaya Nab, St Petersburg, Russia

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2017年 / 48卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

Stability; nonlinear systems; switching systems; time-delay systems; Lyapunov methods; STABILIZATION; HOMOGENEITY;

D O I：

10.1080/00207721.2017.1311382

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Stability of certain classes of nonlinear time-delay switched systems is studied. For the corresponding families of subsystems, conditions of the existence of common Lyapunov-Razumikhin functions are found. The fulfilment of these conditions provides the asymptotic stability of the zero solutions of the considered hybrid systems for any switching law and for any nonnegative delay. Some examples are presented to demonstrate the effectiveness of the obtained results.

引用

页码：2111 / 2119

页数：9

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