Robust exponential stability of uncertain systems with time-varying delays

被引：118
作者：
Niculescu, SI [1 ]
de Souza, CE
Dugard, L
Dion, JM
机构：
[1] Univ Technol Compiegne, Ctr Rech Royallieu, HEUDIASYC, F-60206 Compiegne, France
[2] CNPq, LNCC, BR-25651070 Petropolis, RJ, Brazil
[3] Ecole Natl Super Electrochim & Electrome Grenoble, Lab Automat Grenoble, F-38402 St Martin Dheres, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1998年 / 43卷 / 05期
关键词：
exponential stability; robust stability; time-varying delay; uncertain systems;
D O I：
10.1109/9.668851
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 focuses on the problem of robust exponential stability of a class of uncertain systems described by functional differential equations with time-varying delays. The uncertainties are assumed to be continuous time-varying, nonlinear, and norm bounded. Sufficient conditions for robust exponential stability are given for both single and multiple delays cases.
引用
收藏
页码：743 / 748
页数：6
相关论文
共 24 条
[1]  
[Anonymous], 1986, MATH SCI ENG
[2]   STABILIZATION OF UNCERTAIN DYNAMIC-SYSTEMS INCLUDING STATE DELAY [J].
CHERES, E ;
GUTMAN, S ;
PALMOR, ZJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (11) :1199-1203
[3]  
DESOER CA, 1975, FEEDBACK SYSTEM INPU
[4]  
ELSGOLTS LE, 1975, MATH SCI ENG, V105
[5]  
Hale J.K., 1991, APPL MATH SCI, V99
[6]   STABILIZATION OF LINEAR-SYSTEMS WITH TIME-VARYING DELAY [J].
IKEDA, M ;
ASHIDA, T .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (02) :369-370
[7]   FUNCTIONAL-EQUATIONS, APPROXIMATIONS, AND DYNAMIC-RESPONSE OF SYSTEMS WITH VARIABLE TIME-DELAY [J].
JOHNSON, RA .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (03) :398-&
[8]   DELAY INDEPENDENT STABILITY CONDITIONS AND DECAY-ESTIMATES FOR TIME-VARYING FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].
LEHMAN, B ;
SHUJAEE, K .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (08) :1673-1676
[9]  
LOUISELL J, 1991, LECT NOTES MATH, V1475, P225
[10]  
MALEKZAVAREI M, 1987, TIME DELAYS SYSTEMS
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