Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/35513 |
Resumo: | For a general Cohen-Grossberg neural network model with potentially unbounded time-varying coeffi cients and infi nite distributed delays, we give su fficient conditions for its global asymptotic stability. The model studied is general enough to include, as subclass, the most of famous neural network models such as Cohen-Grossberg, Hopfi eld, and bidirectional associative memory. Contrary to usual in the literature, in the proofs we do not use Lyapunov functionals. As illustrated, the results are applied to several concrete models studied in the literature and a comparison of results shows that our results give new global stability criteria for several neural network models and improve some earlier publications. |
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Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delaysCohen-Grossberg neural networksUnbounded time-varying coefficientsUnbounded distributed delaysGlobal asymptotic stabilityCiências Naturais::MatemáticasScience & TechnologyFor a general Cohen-Grossberg neural network model with potentially unbounded time-varying coeffi cients and infi nite distributed delays, we give su fficient conditions for its global asymptotic stability. The model studied is general enough to include, as subclass, the most of famous neural network models such as Cohen-Grossberg, Hopfi eld, and bidirectional associative memory. Contrary to usual in the literature, in the proofs we do not use Lyapunov functionals. As illustrated, the results are applied to several concrete models studied in the literature and a comparison of results shows that our results give new global stability criteria for several neural network models and improve some earlier publications.The second author research was suported by the Research Centre of Mathematics of the University of Minho with the Portuguese Funds from the "Fundacao para a Ciencia e a Tecnologia", through the project PEstOE/MAT/UI0013/2014. The authors thank the referee for valuable comments.ElsevierUniversidade do MinhoSalete, EstevesOliveira, José J.20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/35513engEsteves, S., & Oliveira, J. J. (2015). Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays. Applied Mathematics and Computation, 265, 333-346. doi: 10.1016/j.amc.2015.04.1030096-300310.1016/j.amc.2015.04.103http://www.sciencedirect.com/science/journal/00963003/265info: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:RCAAP2023-07-21T12:34:57Zoai:repositorium.sdum.uminho.pt:1822/35513Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:30:46.638252Repositório 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 asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays |
title |
Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays |
spellingShingle |
Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays Salete, Esteves Cohen-Grossberg neural networks Unbounded time-varying coefficients Unbounded distributed delays Global asymptotic stability Ciências Naturais::Matemáticas Science & Technology |
title_short |
Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays |
title_full |
Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays |
title_fullStr |
Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays |
title_full_unstemmed |
Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays |
title_sort |
Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays |
author |
Salete, Esteves |
author_facet |
Salete, Esteves Oliveira, José J. |
author_role |
author |
author2 |
Oliveira, José J. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Salete, Esteves Oliveira, José J. |
dc.subject.por.fl_str_mv |
Cohen-Grossberg neural networks Unbounded time-varying coefficients Unbounded distributed delays Global asymptotic stability Ciências Naturais::Matemáticas Science & Technology |
topic |
Cohen-Grossberg neural networks Unbounded time-varying coefficients Unbounded distributed delays Global asymptotic stability Ciências Naturais::Matemáticas Science & Technology |
description |
For a general Cohen-Grossberg neural network model with potentially unbounded time-varying coeffi cients and infi nite distributed delays, we give su fficient conditions for its global asymptotic stability. The model studied is general enough to include, as subclass, the most of famous neural network models such as Cohen-Grossberg, Hopfi eld, and bidirectional associative memory. Contrary to usual in the literature, in the proofs we do not use Lyapunov functionals. As illustrated, the results are applied to several concrete models studied in the literature and a comparison of results shows that our results give new global stability criteria for several neural network models and improve some earlier publications. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015 2015-01-01T00:00:00Z |
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/1822/35513 |
url |
http://hdl.handle.net/1822/35513 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Esteves, S., & Oliveira, J. J. (2015). Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays. Applied Mathematics and Computation, 265, 333-346. doi: 10.1016/j.amc.2015.04.103 0096-3003 10.1016/j.amc.2015.04.103 http://www.sciencedirect.com/science/journal/00963003/265 |
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 |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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