An analysis of stability of a class of neutral-type neural networks with discrete time delays
type: Item
instance of: scholarly article
title: An analysis of stability of a class of neutral-type neural networks with discrete time delays
zbMATH Open document ID: 1303.34056
DOI: 10.1155/2013/143585
author: Zeynep Orman
author: Sabri Arik
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: The problem of existence, uniqueness, and global asymptotic stability is considered for a class of neutral-type neural network models with discrete time delays. By employing a suitable Lyapunov functional and using the homeomorphism mapping theorem, we derive some new delay-independent sufficient conditions for the existence, uniqueness, and global asymptotic stability of the equilibrium point for this class of neutral-type systems. The obtained conditions basically establish some norm and matrix inequalities involving the network parameters of the neural system. The main advantage of the proposed results is that they can be expressed in terms of network parameters only. Some comparative examples are also given to compare our results with the previous corresponding results and demonstrate the effectiveness of the results presented.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K21
Mathematics Subject Classification ID: 92B20
zbMATH DE Number: 6306059
zbMATH Keywords: Lyapunov functional
zbMATH Keywords: delay-independent sufficient conditions
zbMATH Keywords: matrix inequalities
MaRDI profile type: Publication
Wikidata QID: Q58915356
full work available at URL: https://doi.org/10.1155/2013/143585
OpenAlex ID: W2000120618
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description: scientific article; zbMATH DE number 6306059