Finite-time stability of switched nonlinear time-varying systems via indefinite Lyapunov functions

被引：24

作者：

Chen, Guopei ^{[1
]}

Yang, Ying ^{[1
]}

机构：

[1] Huizhou Univ, Dept Math, Huizhou 516007, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2018年 / 28卷 / 05期

基金：

中国国家自然科学基金;

关键词：

finite-time stability; indefinite Lyapunov functions; nonlinear systems; switched systems; time-varying systems; TO-STATE STABILITY; STABILIZATION; CONSENSUS;

D O I：

10.1002/rnc.3968

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This note considers the problem of finite-time stability (FTS) for switched nonlinear time-varying systems. First, a relaxed condition is proposed to verify the FTS of nonlinear time-varying systems by using an indefinite Lyapunov function. Then, the result obtained is extended to study the FTS of switched nonlinear time-varying systems. Several relaxed conditions are given by using a common indefinite Lyapunov function and multiple indefinite Lyapunov functions. Moreover, the corresponding estimates on convergence regions and times of systems are also given. Comparing with the existing results, the conditions obtained allow the time derivative of Lyapunov functions of subsystems (or systems) to be indefinite and all subsystems to be not finite-time stable or even unstable. Finally, a numerical example is given to illustrate the theoretical results.

引用

页码：1901 / 1912

页数：12

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