Stability of linear time-varying delay systems and applications to control problems

被引：36
作者：
Phat, Vu N.
Niamsup, Piyapong
机构：
[1] Inst Math, Hanoi, Vietnam
[2] Chiangnai Univ, Dept Math, Chiang Mai 50200, Thailand
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 194卷 / 02期
关键词：
exponential stability; time-varying; time delay; Lyapunov function; matrix inequalities; Riccati equation;
D O I：
10.1016/j.cam.2005.07.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the stability of a class of linear time-varying systems with multiple delays. Using the Lyapunov function method, we give sufficient delay-dependent conditions for the exponential stability with a given convergence rate, which are described in terms of linear matrix inequalities (LMI) and the solution of Riccati differential equations (RDE). The results are applied to the problem of stabilization of linear time-varying control systems with multiple delays. Numerical examples are given to illustrate the results. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：343 / 356
页数：14
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