Finite-Time Stability of Switched Linear Time-Delay Systems Based on Time-Dependent Lyapunov Functions

被引：12
作者：
Huang, Tiantian [1 ]
Sun, Yuangong [1 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Peoples R China
来源：
IEEE ACCESS | 2020年 / 8卷
基金：
中国国家自然科学基金;
关键词：
Switches; Lyapunov methods; Symmetric matrices; Stability criteria; Numerical stability; Sun; Switched systems; Finite-time stability; switched linear time-delay system; average dwell-time switching; time-dependent Lyapunov function; NONLINEAR-SYSTEMS; STABILIZATION; DESIGN;
D O I：
10.1109/ACCESS.2020.2977419
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, finite-time stability of switched linear time-delay systems has been addressed. By constructing a class of time-dependent common (multiple) Lyapunov functions, new explicit conditions for finite-time stability of the system under arbitrary switching and average dwell-time switching are established respectively. Compared with most of existing results in the literature, our results are easily verifiable by solving several linear matrix inequalities rather than complex matrix Riccati differential equations. The effectiveness of the proposed method is demonstrated by numerical examples.
引用
收藏
页码：41551 / 41556
页数：6
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