Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays

Bibliographic Details
Main Author: Oliveira, José J.
Publication Date: 2011
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/13163
Summary: In this paper, a generalized neural network of Cohen-Grossberg type with both discrete time-varying and distributed unbounded delays is considered. Based on M-matrix theory, sufficient conditions are established to ensure the existence and global attractivity of an equilibrium point. The global exponential stability of the equilibrium is also addressed, but for the model with bounded discrete time-varying delays. A comparison of results shows that these results generalize and improve some earlier publications.
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spelling Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delaysCohen-Grossberg neural networkUnbounded delayTime-varying delayDistributed delayGlobal asymptotic stabilityGlobal exponential stabilityScience & TechnologyIn this paper, a generalized neural network of Cohen-Grossberg type with both discrete time-varying and distributed unbounded delays is considered. Based on M-matrix theory, sufficient conditions are established to ensure the existence and global attractivity of an equilibrium point. The global exponential stability of the equilibrium is also addressed, but for the model with bounded discrete time-varying delays. A comparison of results shows that these results generalize and improve some earlier publications.Fundação para a Ciência e a Tecnologia (FCT)Universidade do Minho. Centro de Matemática (CMAT)ElsevierUniversidade do MinhoOliveira, José J.2011-102011-10-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/13163eng1468-121810.1016/j.nonrwa.2011.04.012http://www.sciencedirect.com/info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-12T04:50:12Zoai:repositorium.sdum.uminho.pt:1822/13163Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:44:04.976297Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays
title Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays
spellingShingle Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays
Oliveira, José J.
Cohen-Grossberg neural network
Unbounded delay
Time-varying delay
Distributed delay
Global asymptotic stability
Global exponential stability
Science & Technology
title_short Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays
title_full Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays
title_fullStr Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays
title_full_unstemmed Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays
title_sort Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays
author Oliveira, José J.
author_facet Oliveira, José J.
author_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Oliveira, José J.
dc.subject.por.fl_str_mv Cohen-Grossberg neural network
Unbounded delay
Time-varying delay
Distributed delay
Global asymptotic stability
Global exponential stability
Science & Technology
topic Cohen-Grossberg neural network
Unbounded delay
Time-varying delay
Distributed delay
Global asymptotic stability
Global exponential stability
Science & Technology
description In this paper, a generalized neural network of Cohen-Grossberg type with both discrete time-varying and distributed unbounded delays is considered. Based on M-matrix theory, sufficient conditions are established to ensure the existence and global attractivity of an equilibrium point. The global exponential stability of the equilibrium is also addressed, but for the model with bounded discrete time-varying delays. A comparison of results shows that these results generalize and improve some earlier publications.
publishDate 2011
dc.date.none.fl_str_mv 2011-10
2011-10-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://hdl.handle.net/1822/13163
url https://hdl.handle.net/1822/13163
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1468-1218
10.1016/j.nonrwa.2011.04.012
http://www.sciencedirect.com/
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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