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

被引：16
|
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
收藏
页码：2931 / 2950
页数：20
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