Exponential estimates for retarded time-delay systems:: An LMI approach

被引：143

作者：

Mondié, S ^{[1
]}

Kharitonov, VL ^{[1
]}

机构：

[1] CINVESTAV, Dept Automat Control, IPN, Mexico City 14740, DF, Mexico

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2005年 / 50卷 / 02期

关键词：

exponential estimate; linear matrix inequalities (LMIs); Lyapunov-Krasovskii functional; time-delay system;

D O I：

10.1109/TAC.2004.841916

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Exponential estimates and sufficient conditions for the exponential stability of linear time delay systems are given. The proof make use of Lyapunov-Krasovskii functionals and the conditions are expressed in terms of linear matrix inequalities.

引用

页码：268 / 273

页数：6

共 16 条

[1]

[Anonymous], STABILITY CONTROL TI

[2]

Bellman R., 1963, DIFFERENTIAL DIFFERE

[3] A LINEAR-PROGRAMMING ORIENTED PROCEDURE FOR QUADRATIC STABILIZATION OF UNCERTAIN SYSTEMS [J].

BERNUSSOU, J ;

PERES, PLD ;

GEROMEL, JC .

SYSTEMS & CONTROL LETTERS, 1989, 13 (01) :65-72

[4] Lyapunov equation for the stability of linear delay systems of retarded and neutral type [J].

Bliman, PA .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) :327-335

[5] ALPHA-STABILITY AND ROBUSTNESS OF LARGE-SCALE INTERCONNECTED SYSTEMS [J].

BOURLES, H .

INTERNATIONAL JOURNAL OF CONTROL, 1987, 45 (06) :2221-2232

[6]

Boy S., 1994, Linear MatrixInequalities in System and Control Theory

[7]

Gahinet P., 1995, LMI Control Toolbox

[8] H-INFINITY CONTROL OF SYSTEMS UNDER NORM BOUNDED UNCERTAINTIES IN ALL SYSTEM MATRICES [J].

GU, KQ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (06) :1320-1322

[9] LIAPUNOV FUNCTIONAL FOR A MATRIX DIFFERENCE-DIFFERENTIAL EQUATION [J].

INFANTE, EF ;

CASTELAN, WB .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1978, 29 (03) :439-451

[10]

Kharitonov V. L., 1999, Annual Reviews in Control, V23, P185, DOI 10.1016/S1367-5788(99)00021-8

← 1 2 →