一类具时滞细胞神经网络的全局一致渐近稳定性

J4 ›› 2012, Vol. 47 ›› Issue (8): 42-49.

一类具时滞细胞神经网络的全局一致渐近稳定性

常青, 周立群*

天津师范大学数学科学学院，天津 300387

收稿日期:2012-05-07 出版日期:2012-08-20 发布日期:2012-12-24
通讯作者: :周立群(1972- ), 女,副教授,博士,硕士生导师,研究方向为神经网络理论及应用. Email: zhouliqun20000@163.com
作者简介:常青(1988- ), 女,硕士研究生, 研究方向为神经网络的稳定性. Email: qingchang228@126.com
基金资助:
国家自然科学基金资助项目(60974144); 天津师范大学博士基金资助项目(52LX34);天津高等学校科技发展基金资助项目(20100813)

Global uniform asymptotic stability of a class of delayed cellular neural networks

CHANG Qing, ZHOU Li-qun*

School of Mathematics Science, Tianjin Normal University, Tianjin 300387, China

Received:2012-05-07 Online:2012-08-20 Published:2012-12-24

摘要/Abstract

摘要：

讨论了一类具时滞细胞神经网络平衡点的全局一致渐近稳定性, 通过构造合适的Lyapunov泛函, 得到了三个具时滞细胞神经网络全局一致渐近稳定性的新的充分条件。

关键词: 时滞细胞神经网络; 全局一致渐近稳定性; Lyapunov泛函

Abstract:

The global uniform asymptotic stability of a class of delayed cellular neural networks are studied. In virtue of constructing a suitable Lyapunov functional, three new sufficient conditions are derived for the global uniform asymptotic stability of the delayed cellular neural networks.

Key words: delayed cellular neural networks; global uniform asymptotic stability; Lyapunov functional

常青, 周立群*. 一类具时滞细胞神经网络的全局一致渐近稳定性[J]. J4, 2012, 47(8): 42-49.

CHANG Qing, ZHOU Li-qun*. Global uniform asymptotic stability of a class of delayed cellular neural networks[J]. J4, 2012, 47(8): 42-49.

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