Exponential estimates for time delay systems

被引:80
作者
Kharitonov, VL
Hinrichsen, D
机构
[1] CINVESTAV, IPN, Control Automat, Mexico City 07000, DF, Mexico
[2] Univ Bremen, Inst Dynam Syst, D-28334 Bremen, Germany
关键词
time delay system; exponential estimate; Lyapunov-Krasovskii functional;
D O I
10.1016/j.sysconle.2004.05.016
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we demonstrate how Lyapunov-Krasovskii functionals can be used to obtain exponential bounds for the solutions of time-invariant linear delay systems. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:395 / 405
页数:11
相关论文
共 13 条
[1]  
Bellman R., 1963, MATH SCI ENG, V6
[2]  
Curtain RF., 2012, An introduction to infinite-dimensional linear systems theory
[3]  
DATKO R, 1972, SIAM J MATH ANAL, V3, P428
[4]  
Halanay A., 1966, DIFFERENTIAL EQUATIO
[5]  
Hale J., 1977, APPL MATH SCI, V3
[6]  
Hinrichsen D., 2001, P 6 EUR CONTR C 2001, P2883
[7]  
HUANG WZ, 1989, J MATH ANAL APPL, V142, P83
[8]   LIAPUNOV FUNCTIONAL FOR A MATRIX DIFFERENCE-DIFFERENTIAL EQUATION [J].
INFANTE, EF ;
CASTELAN, WB .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1978, 29 (03) :439-451
[9]   Lyapunov-Krasovskii approach to the robust stability analysis of time-delay systems [J].
Kharitonov, VL ;
Zhabko, AP .
AUTOMATICA, 2003, 39 (01) :15-20
[10]  
KHARITONOV VL, 2004, 0405 U BREM