Existence and global exponential stability of equilibrium for impulsive cellular neural network models with piecewise alternately advanced and retarded argument
type: Item
instance of: scholarly article
title: Existence and global exponential stability of equilibrium for impulsive cellular neural network models with piecewise alternately advanced and retarded argument
zbMATH Open document ID: 1298.34136
DOI: 10.1155/2013/196139
author: K. S. Chiu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We introduce impulsive cellular neural network models with piecewise alternately advanced and retarded argument (in short IDEPCA). The model with the advanced argument is system with strong anticipation. Some sufficient conditions are established for the existence and global exponential stability of a unique equilibrium. The approaches are based on employing Banach's fixed point theorem and a new IDEPCA integral inequality of Gronwall type. The criteria given are easily verifiable, possess many adjustable parameters, and depend on impulses and piecewise constant argument deviations, which provides exibility for the design and analysis of cellular neural network models. Several numerical examples and simulations are also given to show the feasibility and effectiveness of our results.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K21
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6306515
zbMATH Keywords: Banach's fixed point theorem
zbMATH Keywords: integral inequality of Gronwall type
Wikidata QID: Q58915506
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/196139
OpenAlex ID: W2072755168
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description: scientific article; zbMATH DE number 6306515