Robust stability and stabilizability of uncertain linear hybrid systems with state delays

被引：55
作者：
Phat, VN [1 ]
机构：
[1] Univ New S Wales, Sch Elect Engn & Telecommun, Sydney, NSW 2052, Australia
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2005年 / 52卷 / 02期
关键词：
matrix inequalities; robust stability; stabilizability; state delay; switched system; uncertainty;
D O I：
10.1109/TCSII.2004.840115
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this brief, we consider a class of uncertain linear discrete-time switched systems with state delays. By solving certain matrix and Riccati-like inequalities, sufficient conditions for the robust stability and stabilizability of the system are given.
引用
收藏
页码：94 / 98
页数：5
相关论文
共 17 条
[1]  
AGARWAL RP, 1992, DIFFERENCE EQUATONS
[2]  
BOYD S, 1994, SIAM J, V15
[3]  
Callier F., 1992, LINEAR SYSTEM THEORY
[4]   Stabilization of an uncertain linear dynamic system by state and output feedback: A quadratic stabilizability approach [J].
Garcia, G ;
Bernussou, J ;
Arzelier, D .
INTERNATIONAL JOURNAL OF CONTROL, 1996, 64 (05) :839-858
[5]  
GYURKOVICA E, 1993, P I ELECT ENG D, V140, P423
[6]   Basic problems in stability and design of switched systems [J].
Liberzon, D ;
Morse, AS .
IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05) :59-70
[7]  
Matveev AS, 2000, CONTROL ENGN SER BIR, P1
[8]   New stabilization criteria for linear time-varying systems with state delay and norm-bounded uncertainties [J].
Phat, VN .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (12) :2095-2098
[9]   Robust state estimation for a class of uncertain time-delay systems [J].
Phat, VN ;
Savkin, AV .
SYSTEMS & CONTROL LETTERS, 2002, 47 (03) :237-245
[10]  
PHAT VN, 2001, DYNAMIC SYSTEMS APPL, V10, P577
12