Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays.
type: Item
instance of: scholarly article
title: Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays.
zbMATH Open document ID: 1055.34135
author: Zhigang Liu
author: Liu Sheng Liao
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-03-14T00:00:00Z
review text: The authors investigate a system of cellular neural networks with periodic coefficients and periodic delays, all of them with the same period \(\omega\). Using a topological degree argument, some sufficient conditions for the existence of at least one \(\omega\)-periodic solution of the system are found. Then, additional assumptions are imposed to guarantee that the periodic solution is unique and globally exponentially stable.
reviewed by: Eduardo Liz
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 2055376
zbMATH Keywords: neural networks
zbMATH Keywords: topological degree
zbMATH Keywords: periodic solution
zbMATH Keywords: exponential stability
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.09.052
OpenAlex ID: W1977631350
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DOI: 10.1016/J.JMAA.2003.09.052
description: scientific article; zbMATH DE number 2055376