具有分布时滞的细胞神经网络的概周期解

数学物理学报 ›› 2011, Vol. 31 ›› Issue (2): 422-429.

具有分布时滞的细胞神经网络的概周期解

张若军|王林山

中国海洋大学数学科学学院山东青岛 266100

收稿日期:2008-11-18 修回日期:2009-12-28 出版日期:2011-04-25 发布日期:2011-04-25
基金资助:
国家自然科学基金(10771199)资助

Almost Periodic Solutions for Cellular Neural Networks with Distributed Delays

ZHANG Ruo-Jun, WANG Lin-Shan

School of Mathematical Sciences, Ocean University of China, Shandong Qingdao 266100

Received:2008-11-18 Revised:2009-12-28 Online:2011-04-25 Published:2011-04-25
Supported by:
国家自然科学基金(10771199)资助

摘要/Abstract

摘要：

该文对具有分布时滞的细胞神经网络的概周期解进行了讨论,去掉了神经元输出函数全局Lipschitz条件的限制, 利用不动点定理与微分不等式技巧,得到了此类神经网络概周期解的存在性,唯一性与指数稳定性的充分条件.

关键词: 细胞神经网络, 分布时滞, 概周期解, 指数稳定性, 不动点定理

Abstract:

In this paper, cellular neural networks with distributed delays are considered. Without assuming the global Lipschitz conditions of neuron signal functions, sufficient conditions for the existence, uniqueness and exponential stability of the almost periodic solutions are established by using the fixed point theorem and differential inequality technique. The authors extend and improve previously known results. Moreover, an example is also worked out to illustrate the advantages of the results.

Key words: Cellular neural networks, Distributed delays, Almost periodic solution, Exponential stability, Fixed point theorem

中图分类号:

39A24

张若军, 王林山. 具有分布时滞的细胞神经网络的概周期解[J]. 数学物理学报, 2011, 31(2): 422-429.

ZHANG Ruo-Jun, WANG Lin-Shan. Almost Periodic Solutions for Cellular Neural Networks with Distributed Delays[J]. Acta mathematica scientia,Series A, 2011, 31(2): 422-429.

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