Fixed point and asymptotic analysis of cellular neural networks
type: Item
instance of: scholarly article
title: Fixed point and asymptotic analysis of cellular neural networks
zbMATH Open document ID: 1323.47058
DOI: 10.1155/2012/689845
author: Yu-Tian Zhang
author: Xianghong Lai
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: We firstly employ the fixed point theory to study the stability of cellular neural networks without delays and with time-varying delays. Some novel and concise sufficient conditions are given to ensure the existence and uniqueness of solution and the asymptotic stability of trivial equilibrium at the same time. Moreover, these conditions are easily checked and do not require the differentiability of delays.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 6106287
zbMATH Keywords: cellular neural networks
zbMATH Keywords: time-varying delays
zbMATH Keywords: asymptotic stability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/689845
OpenAlex ID: W2086319690
Wikidata QID: Q58907152
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DBLP publication ID: journals/jam/LaiZ12
description: scientific article; zbMATH DE number 6106287