Global exponential stability of nonautonomous neural network models with continuous distributed delays

Detalhes bibliográficos
Autor(a) principal: Esteves, Salete
Data de Publicação: 2013
Outros Autores: Gokmen, Elçin, Oliveira, José J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10198/8460
Resumo: For a family of non-autonomous differential equations with distributed delays, we give sufficient conditions for the global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Hopfield type, with time-varying coefficients and distributed delays. For these models, we establish sufficient conditions for their global exponential stability. The existence and global exponential stability of a periodic solution is also addressed. A comparison of results shows that these results are general, news, and add something new to some earlier publication
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spelling Global exponential stability of nonautonomous neural network models with continuous distributed delaysHopfield neural networkBAM neural networkTime-varying coefficientDistributed time delayPeriodic solutionGlobal exponential stabilityFor a family of non-autonomous differential equations with distributed delays, we give sufficient conditions for the global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Hopfield type, with time-varying coefficients and distributed delays. For these models, we establish sufficient conditions for their global exponential stability. The existence and global exponential stability of a periodic solution is also addressed. A comparison of results shows that these results are general, news, and add something new to some earlier publicationElsevierBiblioteca Digital do IPBEsteves, SaleteGokmen, ElçinOliveira, José J.2013-06-13T09:03:58Z20132013-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/10198/8460engEsteves, Salete; Gokmen, Elçin; Oliveira, José J. (2013)- Global exponential stability of nonautonomous neural network models with continuous distributed delays. Applied Mathematics and Computation. ISSN 0096-3003. 219:17, p. 9296–93070096-3003info: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:RCAAP2023-11-21T10:20:47Zoai:bibliotecadigital.ipb.pt:10198/8460Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:59:57.011644Repositório 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 exponential stability of nonautonomous neural network models with continuous distributed delays
title Global exponential stability of nonautonomous neural network models with continuous distributed delays
spellingShingle Global exponential stability of nonautonomous neural network models with continuous distributed delays
Esteves, Salete
Hopfield neural network
BAM neural network
Time-varying coefficient
Distributed time delay
Periodic solution
Global exponential stability
title_short Global exponential stability of nonautonomous neural network models with continuous distributed delays
title_full Global exponential stability of nonautonomous neural network models with continuous distributed delays
title_fullStr Global exponential stability of nonautonomous neural network models with continuous distributed delays
title_full_unstemmed Global exponential stability of nonautonomous neural network models with continuous distributed delays
title_sort Global exponential stability of nonautonomous neural network models with continuous distributed delays
author Esteves, Salete
author_facet Esteves, Salete
Gokmen, Elçin
Oliveira, José J.
author_role author
author2 Gokmen, Elçin
Oliveira, José J.
author2_role author
author
dc.contributor.none.fl_str_mv Biblioteca Digital do IPB
dc.contributor.author.fl_str_mv Esteves, Salete
Gokmen, Elçin
Oliveira, José J.
dc.subject.por.fl_str_mv Hopfield neural network
BAM neural network
Time-varying coefficient
Distributed time delay
Periodic solution
Global exponential stability
topic Hopfield neural network
BAM neural network
Time-varying coefficient
Distributed time delay
Periodic solution
Global exponential stability
description For a family of non-autonomous differential equations with distributed delays, we give sufficient conditions for the global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Hopfield type, with time-varying coefficients and distributed delays. For these models, we establish sufficient conditions for their global exponential stability. The existence and global exponential stability of a periodic solution is also addressed. A comparison of results shows that these results are general, news, and add something new to some earlier publication
publishDate 2013
dc.date.none.fl_str_mv 2013-06-13T09:03:58Z
2013
2013-01-01T00:00:00Z
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/10198/8460
url http://hdl.handle.net/10198/8460
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Esteves, Salete; Gokmen, Elçin; Oliveira, José J. (2013)- Global exponential stability of nonautonomous neural network models with continuous distributed delays. Applied Mathematics and Computation. ISSN 0096-3003. 219:17, p. 9296–9307
0096-3003
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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
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