On the almost periodic solution of generalized shunting inhibitory cellular neural networks with continuously distributed delays

被引:29
|
作者
Liu, Yiguang [1 ]
You, Zhisheng
Cao, Liping
机构
[1] Sichuan Univ, Inst Image & Graph, Sch Comp Sci & Engn, Chengdu 610064, Peoples R China
[2] Sichuan Univ, Sichuan Univ Lib, Chengdu 610054, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Elect Engn, Ctr Nonlinear & Complex Syst, Chengdu 610054, Peoples R China
基金
中国国家自然科学基金;
关键词
shunting inhibitory cellular neural networks (SICNNs); distributed delays; almost periodic solution; fixed point theorem;
D O I
10.1016/j.physleta.2006.08.013
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Using fixed point theory, Lyapunov functional and some inequality techniques, with the shunting inhibitory cellular neural networks with continuously distributed delays and variable coefficients, this Letter establishes some sufficient conditions insuring the existence, uniqueness and stability of one almost periodic solution. Comparing with known results, the obtained ones have wider application range, and are applicable to the networks with variable constants. Even for some networks with constant coefficients, only our criteria can give explicit asseveration. Thus our results extend and ameliorate some known works. Finally, the excellence along with the validity of the obtained criteria is shown by one illustrative example. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:122 / 130
页数:9
相关论文
共 50 条