Stability analysis of time-varying switched systems via indefinite difference Lyapunov functions

被引：3
|
作者：
Li, Huijuan [1 ,2 ]
机构：
[1] China Univ Geosci Wuhan, Sch Math & Phys, Wuhan 430074, Peoples R China
[2] China Univ Geosci Wuhan, Ctr Math Sci, Wuhan 430074, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2023年 / 48卷
基金：
中国国家自然科学基金;
关键词：
Switched system; Asymptotic stability; Common indefinite difference Lyapunov; functions; Multiple indefinite difference Lyapunov; TO-STATE STABILITY;
D O I：
10.1016/j.nahs.2022.101329
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Asymptotic stability of time-varying switched systems is investigated in this paper. The less conservative sufficient criteria for asymptotic stability of time-varying discrete-time switched systems are proposed via common indefinite difference Lyapunov functions and multiple indefinite difference Lyapunov functions introduced in this note, respectively. Common indefinite difference Lyapunov functions can be used to analyze stability of a switched system with asymptotic stable subsystems and arbitrary switching signal. Multiple indefinite difference Lyapunov functions can be used to investigate stability of a switched system with unstable subsystems and a given switching signal. The difference of the proposed Lyapunov function may be positive at some instants for an asymptotically stable subsystem. We compare these main results and illustrate the effectiveness of the obtained theorems by three numerical examples.& COPY; 2023 Elsevier Ltd. All rights reserved.
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