An explicit criterion for finite-time stability of linear nonautonomous systems with delays

被引：25
作者：
Le Van Hien [1 ]
机构：
[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam
来源：
APPLIED MATHEMATICS LETTERS | 2014年 / 30卷
关键词：
Finite-time stability; Nonautonomous systems; Time-varying delay; Metzler matrix; JUMP SYSTEMS; STABILIZATION;
D O I：
10.1016/j.aml.2013.12.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of finite-time stability of linear nonautonomous systems with time-varying delays is considered. Using a novel approach based on some techniques developed for linear positive systems, we derive new explicit conditions in terms of matrix inequalities ensuring that the state trajectories of the system do not exceed a certain threshold over a pre-specified finite time interval. These conditions are shown to be relaxed for the Lyapunov asymptotic stability. A numerical example is given to illustrate the effectiveness of the obtained result. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：12 / 18
页数：7
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