具有不同时间尺度的分布时滞竞争神经网络概周期解的全局指数稳定性

J4 ›› 2010, Vol. 45 ›› Issue (6): 60-64.

具有不同时间尺度的分布时滞竞争神经网络概周期解的全局指数稳定性

赵永昌¹,王林山^1,2

1.中国海洋大学信息科学与工程学院, 山东青岛 266071;
2.中国海洋大学数学科学学院, 山东青岛 266071

收稿日期:2009-09-30 出版日期:2010-06-16 发布日期:2010-06-17
作者简介:赵永昌(1981-),男,博士研究生,研究方向为神经网络与动力系统.Email:anying0205@sina.com
基金资助:
国家自然科学基金资助项目(10771199;10871117)

Global exponential stability of almost periodic solution for competitive neural networks with distributed delays and different time-scales

ZHAO Yong-chang1, WANG Lin-shan1,2

1. College of Information Science and Engineering, Ocean University of China, Qingdao 266071, Shandong, China;
2.College of Mathematical Science, Ocean University of China, Qingdao 266071, Shandong, China

Received:2009-09-30 Online:2010-06-16 Published:2010-06-17

摘要/Abstract

摘要：

运用李亚普诺夫泛函结合微分不等式技巧研究了具有不同时间尺度的分布时滞竞争神经网络的概周期解,给出了其全局指数稳定性的一个充分条件。

关键词: 竞争神经网络;分布时滞;时间尺度;概周期;全局指数稳定性

Abstract:

The global exponential stability of almost periodic solutions for competitive neural networks with distributed delays and different time-scales are studied by using the fixed point theory, Lyapunov function and differential inequality technique. Sufficient conditions are established for the global exponential stability of it.

Key words: competitive neural networks; distributed delays; time-scales; almost periodic solution; global exponential stability

赵永昌1,王林山1,2. 具有不同时间尺度的分布时滞竞争神经网络概周期解的全局指数稳定性[J]. J4, 2010, 45(6): 60-64.

ZHAO Yong-chang1, WANG Lin-shan1,2. Global exponential stability of almost periodic solution for competitive neural networks with distributed delays and different time-scales[J]. J4, 2010, 45(6): 60-64.

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