Boundedness and stability for nonautonornous cellular neural networks with delay

被引：24
作者：
Rehim, M [1 ]
Jiang, HJ [1 ]
Teng, ZD [1 ]
机构：
[1] Xinjiang Univ, Dept Math, Urumqi 830046, Peoples R China
来源：
NEURAL NETWORKS | 2004年 / 17卷 / 07期
基金：
中国国家自然科学基金;
关键词：
boundedness; global exponential stability; periodic solution; Liapunov functional; delay; cellular neural networks;
D O I：
10.1016/j.neunet.2004.03.009
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, a class of nonautonomous cellular neural networks is studied. By constructing a suitable Liapunov functional, applying the boundedness theorem for general functional-differential equations and the Banach fixed point theorem, a series of new criteria are obtained on the boundedness. global exponential stability, and existence of periodic solutions. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1017 / 1025
页数：9
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