On stability of integral delay systems

被引：38

作者：

Melchor-Aguilar, Daniel ^{[1
]}

机构：

[1] IPICYT, Div Appl Math, San Luis Potosi 78216, Mexico

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 07期

关键词：

Integral delay systems; Exponential stability; Lyapunov-Krasovskii functionals; ADDITIONAL DYNAMICS;

D O I：

10.1016/j.amc.2010.08.058

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The exponential stability of a class of integral delay systems is investigated by using the Lyapunov-Krasovskii functional approach. Sufficient delay-dependent stability conditions and exponential estimates for the solutions are derived. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：3578 / 3584

页数：7

共 13 条

[1] GU K., 2003, CONTROL ENGN SER BIR
[2] Additional dynamics in transformed time-delay systems
Gu, KQ
Niculescu, SI
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2000, 45 (03) : 572 - 575
[3] Hale J. K., 2002, IMA Journal of Mathematical Control and Information, V19, P5, DOI 10.1093/imamci/19.1_and_2.5
[4] Hale J.K., 1993, Introduction to Functional Differntial Equations
[5] Additional dynamics for general class of time-delay systems
Kharitonov, V
Melchor-Aguilar, D
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) : 1060 - 1064
[6] On delay-dependent stability conditions
Kharitonov, VL
Melchor-Aguilar, D
[J]. SYSTEMS & CONTROL LETTERS, 2000, 40 (01) : 71 - 76
[7] On delay-dependent stability conditions for time-varying systems
Kharitonov, VL
Melchor-Aguilar, D
[J]. SYSTEMS & CONTROL LETTERS, 2002, 46 (03) : 173 - 180
[8] Kolmanovskii V. B., 1999, Introduction to the Theory and Applications of Functional Differential Equations
[9] FINITE SPECTRUM ASSIGNMENT PROBLEM FOR SYSTEMS WITH DELAYS
MANITIUS, AZ
OLBROT, AW
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (04) : 541 - 553
[10] Stability conditions for integral delay systems
Melchor-Aguilar, Daniel
Kharitonov, Vladimir
Lozano, Rogelio
[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (01) : 1 - 15

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