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
收藏
页码：250 / 258
页数：9
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