Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz and bounded activation functions

被引:11
作者
Cai, Mingshan
Xiong, Wanmin [1 ]
机构
[1] Hunan Univ Arts & Sci, Dept Math, Hunan 415000, Peoples R China
[2] Hunan Univ Arts & Sci, Dept Elect Engn, Hunan 415000, Peoples R China
基金
中国国家自然科学基金;
关键词
shunting inhibitory cellular neural networks; almost periodic solution; exponential stability; time-varying delays;
D O I
10.1016/j.physleta.2006.10.076
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter the shunting inhibitory cellular neural networks (SICNNs) with time-varying delays are considered. Without assuming the global Lipschitz and bounded conditions of activation functions, some sufficient conditions for the existence and local exponential stability of the almost periodic solutions are established by using the fixed point theorem, Lyapunov functional method and differential inequality techniques. The results of this Letter are new and complement previously known results. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:417 / 423
页数:7
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