Global Exponential Stability and Periodicity of CNNs with Time-Varying Discrete and Distributed Delays

被引：0

作者：

Fang, Shengle ^{[1
]}

Jiang, Minghui ^{[1
]}

Fu, Wenfang ^{[1
]}

机构：

[1] China Three Gorges Univ, Inst Noulinear Complex Syst, Yichang 443000, Hubei, Peoples R China

来源：

ADVANCES IN NEURAL NETWORKS - ISNN 2008, PT I, PROCEEDINGS | 2008年 / 5263卷

关键词：

Cellular neural network; Distributed delay; Exponential stability; Periodic solution; CELLULAR NEURAL-NETWORKS;

D O I：

暂无

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, based on the Lyapunov stability analysis for functional differential equations, the problems of global exponential stability and periodic solutions for a class of cellular neural networks with time-varying delays and distributed delays are investigated. By constructing a new suitable Lyapunov functional, some simple sufficient Conditions ensuring existence, uniqueness, global exponential stability of the equilibrium point. aud periodic oscillation of the networks are obtained which are easy to check and apply in practice. In a addtion, an example is also given to illustrate the effectiveness of the theory.

引用

页码：138 / 147

页数：10

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