Global stability of a Cohen-Grossberg neural network with both time-varying and continuous distributed delays
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/13163 |
Resumo: | 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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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/pdfhttp://hdl.handle.net/1822/13163eng1468-121810.1016/j.nonrwa.2011.04.012http://www.sciencedirect.com/info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:29:13Zoai:repositorium.sdum.uminho.pt:1822/13163Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:24:11.794189Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
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 |
http://hdl.handle.net/1822/13163 |
url |
http://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:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799132720044965888 |