Global asymptotic stability of nonautonomous Cohen-Grossberg neural network models with infinite delays

Bibliographic Details
Main Author: Salete, Esteves
Publication Date: 2015
Other Authors: Oliveira, José J.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/35513
Summary: 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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spelling 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/pdfhttps://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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-12T05:01:38Zoai:repositorium.sdum.uminho.pt:1822/35513Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T15:55:15.706798Repositórios 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 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 https://hdl.handle.net/1822/35513
url https://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: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
institution RCAAP
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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