New delay-dependent condition for absolute stability of Lurie control systems with multiple time-delays and nonlinearities

被引：30

作者：

Cao, Jiuwen ^{[1
]}

Zhong, Shouming ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Coll Appl Math, Chengdu 610054, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 194卷 / 01期

关键词：

Lurie system; multiple delays; absolute stability; modulatory matrix; LMI control tool-box;

D O I：

10.1016/j.amc.2007.04.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The absolute stability of Lurie system with multiple time-delays and nonlinearities is considered in this paper. Based on the Lyapunov stability theory and the approaches of decomposing the matrices and adding modulatory matrices, a novel delay-dependent sufficient condition for the absolute stability is derived and expressed in the form of the linear matrix inequality (LMI). A numerical example shows that the result obtained in this paper improved the estimate of the stability limit over some existing results. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：250 / 258

页数：9

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