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.

引用

页码：58 / 68

页数：11

共 26 条

[21] Further results on delay-dependent robust stability conditions of uncertain neutral systems [J].

Xu, SY ;

Lam, J ;

Zou, Y .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2005, 15 (05) :233-246

[22] Improved delay-dependent stability criteria for time-delay systems [J].

Xu, SY ;

Lam, J .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (03) :384-387

[23] Global exponential stability conditions for generalized state-space systems with time-varying delays [J].

Yu, Ker-Wei ;

Lien, Chang-Hua .

CHAOS SOLITONS & FRACTALS, 2008, 36 (04) :920-927

[24] Guaranteed cost control of linear systems over networks with state and input quantisations [J].

Yue, D. ;

Peng, C. ;

Tang, G. Y. .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2006, 153 (06) :658-664

[25] State feedback controller design of networked control systems [J].

Yue, D ;

Han, QL ;

Peng, C .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2004, 51 (11) :640-644

[26] Delay dependent stability of neutral systems with time delay: an LMI approach [J].

Yue, D ;

Won, S ;

Kwon, O .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2003, 150 (01) :23-27

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