Delay-dependent absolute stability of Lurie control systems with multiple time-delays

被引:31
作者
Tian, Junkang [1 ]
Zhong, Shouming [1 ]
Xiong, Lianglin [1 ]
机构
[1] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Sichuan, Peoples R China
关键词
Lurie control system; absolute stability; delay-dependent; linear matrix inequality;
D O I
10.1016/j.amc.2006.09.119
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The stability of Lurie control systems with multiple time-delays is investigated. The system with multiple time-delays is transformed, then a suitable Lyapunov function is selected, the delay-dependent absolutely stable condition for Lurie control systems with multiple time-delays is obtained by applying the technique of analyzing inequality and the method of decomposing the matrices. The condition is based on the linear matrix inequality. Finally, a numerical example is given to demonstrate the derived condition is less conservative than that given in the literature. (C) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:379 / 384
页数:6
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