Eigenvalue and stability of singular differential delay systems

被引:31
作者
Wei, J [1 ]
机构
[1] Anhui Univ, Dept Math, Hefei 230039, Anhui, Peoples R China
基金
中国国家自然科学基金;
关键词
singular differential systems with delay; Eigenvalue; exponential exact estimation; stability;
D O I
10.1016/j.jmaa.2004.05.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The eigenvalue and the stability of singular differential systems with delay are considered. Firstly we investigate some properties of the eigenvalue, then give the exact exponential estimation for the fundamental solution, and finally discuss the necessary and sufficient condition of uniform asymptotic stability. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:305 / 316
页数:12
相关论文
共 23 条
[1]  
[Anonymous], 1994, THEORY FUNCTIONAL DI
[2]   ON COMPUTING THE MAXIMAL DELAY INTERVALS FOR STABILITY OF LINEAR DELAY SYSTEMS [J].
CHEN, J .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1995, 40 (06) :1087-1093
[3]  
CHENG C, 1998, ACTA AUTOMATICA SINI, V24, P81
[4]  
Dai L., 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475
[5]  
Dugard L, 1997, Stability and Control of Time Delay Systems, V228
[6]   On generalized linear singular delay systems [J].
Grispos, E ;
Kalogeropoulos, G ;
Stratis, IG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 245 (02) :430-446
[7]  
HALE J, 1992, INTRO FUNCTIONAL DIF
[8]  
Mao Weijie, 1998, Control Theory & Applications, V15, P972
[9]  
WEI J, 2001, ANN DIFFERENTIAL EQU, V17, P10
[10]  
WEI J, 2003, J MATH, V24, P161