Finite-Time Stability and Boundedness of Switched Systems with Finite-Time Unstable Subsystems

被引：18

作者：

Tan, Jialin ^{[1
]}

Wang, Weiqun ^{[1
]}

Yao, Juan ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Nanjing, Jiangsu, Peoples R China

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2019年 / 38卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Switched nonlinear system; Finite-time stability; Finite-time boundedness; Mode-dependent average dwell time;

D O I：

10.1007/s00034-018-1001-7

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, problems covering finite-time stability and boundedness of switched systems with finite-time unstable subsystems are researched through the method of multi-Lyapunov function. On basis of the mode-dependent average dwell time method, the systems are required to meet the standards of remaining finite-time stable and finite-time bounded through the practice of designing the switching signal for finite-time stable and unstable subsystems respectively. Finally, stabilization conditions for switched linear systems based on linear matrix inequalities are presented to guarantee the finite-time stability of the closed-loop system. Numerical examples are put forward attempting to verify the efficiency through different methodologies.

引用

页码：2931 / 2950

页数：20

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