论变时滞高阶细胞神经网络模型的反周期解

J4 ›› 2012, Vol. 47 ›› Issue (10): 121-126.

• 论文 • 上一篇

论变时滞高阶细胞神经网络模型的反周期解

黄祖达,彭乐群,徐敏

湖南文理学院数学与计算科学学院, 湖南常德 415000

收稿日期:2012-02-09 出版日期:2012-11-20 发布日期:2012-10-26
作者简介:黄祖达(1964- ),男,讲师,研究方向为微分方程与数学教育哲学. Email:hzd.1964@163.com
基金资助:
教育部重点资助项目(2010 151);湖南省高等学校自然科学基金项目(11C0916)

On anti-periodic solutions for high-order cellular neural networks model with timevarying delays

HUANG Zu-da, PENG Le-qun, XU Min

College of Methematics and Computing Science, Hunan University of Arts and Science, Changde 415000, Hunan, China

Received:2012-02-09 Online:2012-11-20 Published:2012-10-26

摘要/Abstract

摘要：

研究了具有变时滞的高阶细胞神经网络模型,得到了其反周期解存在性和指数稳定性的一类新的充分条件,并通过数值仿真图对实例进行了直观地说明。

关键词: 变时滞;细胞神经网络;反周期解;指数稳定性

Abstract:

An anti-periodic solutions for high-order cellular neural networks with time-varying delays is studied. The new sufficient conditions for the existence and exponential stability of anti-periodic solutions are obtained. The results are illustrated by a numerical simulation example.

Key words: time-varying delays; cellular neural networks; anti-periodic solution; expontial stability

黄祖达,彭乐群,徐敏. 论变时滞高阶细胞神经网络模型的反周期解[J]. J4, 2012, 47(10): 121-126.

HUANG Zu-da, PENG Le-qun, XU Min. On anti-periodic solutions for high-order cellular neural networks model with timevarying delays[J]. J4, 2012, 47(10): 121-126.

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论变时滞高阶细胞神经网络模型的反周期解

On anti-periodic solutions for high-order cellular neural networks model with timevarying delays

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