On the exponential stability and periodic solutions of delayed cellular neural networks

被引：71
|
作者：
Cao, JD [1 ]
Li, Q [1 ]
机构：
[1] SE Univ, Dept Appl Math, Nanjing 210096, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 252卷 / 01期
关键词：
periodic solution; global exponential stability; delayed cellular neural networks; Lyapunov functional; inequality; parameter;
D O I：
10.1006/jmaa.2000.6890
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A set of criteria is presented for the global exponential stability and the existence of periodic solutions of delayed cellular neural networks (DCNNs) by constructing suitable Lyapunov functionals, introducing many parameters and combining with the elementary inequality technique. These criteria have important leading significance in the design and applications of globally stable DCNNs and periodic oscillatory DCNNs. In addition, earlier results are extended and improved; other results are contained. Two examples are given to illustrate the theory, (C) 2000 Academic Press.
引用
收藏
页码：50 / 64
页数：15
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