Existence and global exponential stability of pseudo almost periodic solution for SICNNs with mixed delays

被引：38

作者：

Chérif F. ^{[1
]}

机构：

[1] Department of Mathematics, SCANN, Military Academy, 4000 Sousse, Avenue du maréchal Tito

来源：

Journal of Applied Mathematics and Computing | 2012年 / 39卷 / 1-2期

关键词：

Globally exponential stability; Neural network; Pseudo almost periodic solution;

D O I：

10.1007/s12190-011-0520-1

中图分类号：

学科分类号：

摘要：

Shunting Inhibitory Artificial Neural Networks are biologically inspired networks in which the synaptic interactions are mediated via a nonlinear mechanism called shunting inhibition, which allows neurons to operate as adaptive nonlinear filters. This paper considers the problem of existence and exponential stability of the pseudo almost periodic solution for shunting inhibitory cellular neural networks with mixed delays. The Banach fixed point theorem and the variant of a certain integral inequality with explicit estimate are used to establish the results. The results of this paper are new and they complement previously known results. © 2011 Korean Society for Computational and Applied Mathematics.

引用

页码：235 / 251

页数：16

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