Dynamical behavior of delayed Hopfield neural networks with discontinuous activations

被引：45

作者：

Wang, Jiafu ^{[1
]}

Huang, Lihong ^{[1
]}

Guo, Zhenyuan ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2009年 / 33卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Delayed neural network; Discontinuous dynamical system; Periodic solution; Global asymptotic stability; Leray-Schauder alternative theorem; GLOBAL EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS; EXISTENCE; TIME; CONVERGENCE;

D O I：

10.1016/j.apm.2008.03.023

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a general class of neural networks with arbitrary constant delays is studied, whose neuron activations are discontinuous and may be unbounded or nonmonotonic. Based on the Leray-Schauder alternative principle and generalized Lyapunov approach, conditions are given under which there is a unique equilibrium of the neural network, which is globally asymptotically stable. Moreover, the existence and global asymptotic stability of periodic solutions are derived, where the neuron inputs are periodic. The obtained results extend previous works not only on delayed neural networks with Lipschitz continuous neuron activations, but also on delayed neural networks with discontinuous neuron activations. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1793 / 1802

页数：10

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