Further results on absolute stability of Lur'e systems with a time-varying delay

被引：21
|
作者：
Xiao, Shen-Ping [1 ]
Liu, Xinzhi [2 ]
Zhang, Chang-Fan [1 ]
Zeng, Hong-Bing [1 ]
机构：
[1] Hunan Univ Technol, Sch Elect & Informat Engn, Zhuzhou 412008, Peoples R China
[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
来源：
NEUROCOMPUTING | 2016年 / 207卷
基金：
中国国家自然科学基金;
关键词：
Lur'e systems; Absolute stability; Linear matrix inequalities (LMIs); Lyapunov-Krasovskii functional; SYNCHRONIZATION; STABILIZATION; NETWORKS;
D O I：
10.1016/j.neucom.2016.05.071
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we focus on the problem of absolute stability of Lur'e systems with time-varying delay and sector-bounded nonlinearity. An improved free-matrix-based inequality (FMBI) is derived. By using this inequality and the convex combination technique, some new delay-dependent absolute stability criteria are derived. These conditions are given in the term of linear matrix inequalities (LMIs) and accordingly can be readily solved and checked. Finally, a numerical example is solved using the proposed method to demonstrate the effectiveness and its improvement over existing ones. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：823 / 827
页数：5
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