Exponential stability of singular systems with multiple time-varying delays

被引：93

作者：

Haidar, Ahmad ^{[1
]}

Boukas, E. K. ^{[1
]}

机构：

[1] Ecole Polytech, Dept Mech Engn, Montreal, PQ H3C 3A7, Canada

来源：

AUTOMATICA | 2009年 / 45卷 / 02期

关键词：

Singular time-delay systems; Delay-dependent; Stability; alpha-stability; Linear matrix inequality; DESCRIPTOR SYSTEMS; ROBUST STABILITY;

D O I：

10.1016/j.automatica.2008.08.019

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the class of continuous-time singular linear systems with multiple time-varying delays in a range. The global exponential stability problem of this class of systems is addressed. Delay-range-dependent sufficient conditions such that the system is regular, impulse-free and alpha-stable are developed in the linear matrix inequality (LMI) setting. Moreover, an estimate of the convergence rate of such stable systems is presented. A numerical example is employed to show the usefulness of the proposed results. Crown Copyright (C) 2008 Published by Elsevier Ltd. All rights reserved.

引用

页码：539 / 545

页数：7

共 9 条

[1] Boukas EK, 2008, COMMUN CONTROL ENG, P3
[2] Stability of linear descriptor systems with delay: a Lyapunov-based approach
Fridman, E
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 273 (01) : 24 - 44
[3] Haidar A., 2008, THESIS ECOLE POLYTEC
[4] Halanay A., 1997, IMA Journal of Mathematical Control and Information, V14, P95, DOI 10.1093/imamci/14.1.95
[5] Delay-range-dependent stability for systems with time-varying delay
He, Yong
Wang, Qing-Guo
Lin, Chong
Wu, Min
[J]. AUTOMATICA, 2007, 43 (02) : 371 - 376
[6] Exponential stability for continuous-time singular systems with multiple time delays
Sun, YJ
[J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2003, 125 (02): : 262 - 264
[7] Robust stability and stabilization for singular systems with state delay and parameter uncertainty
Xu, SY
Van Dooren, P
Stefan, R
Lam, J
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (07) : 1122 - 1128
[8] Yue D, 2005, DYNAM CONT DIS SER B, V12, P129
[9] Delay-dependent robust stability criteria for two classes of uncertain singular time-delay systems
Zhu, Shuqian
Zhang, Chenghui
Cheng, Zhaolin
Feng, June
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (05) : 880 - 885

← 1 →