Complete stability of cellular neural networks with time-varying delays

被引：107
|
作者：
Zeng, ZG [1 ]
Wang, J
机构：
[1] Wuhan Univ Technol, Sch Automat, Wuhan 430070, Peoples R China
[2] Chinese Univ Hong Kong, Dept Automat & Comp Aided Engn, Shatin, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2006年 / 53卷 / 04期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
cellular neural networks (CNNs); complete stability; contraction mapping principle; time-varying delays; mathematical induction;
D O I：
10.1109/TCSI.2005.859616
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, the complete stability of cellular neural networks with time-varying delays is analyzed using the induction method and the contraction mapping principle. Delay-dependent and delay-independent conditions are obtained for locally stable equilibrium points to be located anywhere, which differ from the existing results on complete stability where the existence of equilibrium points in the saturation region is necessary for complete stability and locally stable equilibrium points can be in the saturation region only. In addition, some existing stability results in the literature are special cases of a new result herein. Simulation results are also discussed by use of two illustrative examples.
引用
收藏
页码：944 / 955
页数：12
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