Delay-range-dependent stabilization of uncertain dynamic systems with interval time-varying delays

被引：48
|
作者：
Kwon, O. M. [1 ]
Park, Ju H. [2 ]
机构：
[1] Chungbuk Natl Univ, Sch Elect & Comp Engn, Cheongju 361763, South Korea
[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 208卷 / 01期
关键词：
Stabilization; Interval time-varying delays; LMI; Lyapunov's method; STABILITY-CRITERIA; ROBUST STABILITY; DIFFERENTIAL SYSTEMS; LINEAR-SYSTEMS; STATE; CONTROLLER; DESIGN;
D O I：
10.1016/j.amc.2008.11.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of delay-range-dependent stabilization criterion for uncertain dynamic systems with time-varying delays is considered. The time-varying delays considered is assumed to be belong to a given interval in which lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov's functional and utilizing free weight matrices, the criterion for stabilization is established in terms of linear matrix inequalities. Three numerical examples are given to show the effectiveness of proposed method. (C) 2008 Elsevier Inc. All rights reserved.
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页码：58 / 68
页数：11
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