General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays

Bibliographic Details
Main Author: Oliveira, José J.
Publication Date: 2011
Other Authors: Faria, Teresa
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/13162
Summary: For a family of differential equations with infinite delay, we give sufficient conditions for the global asymptotic, and global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Cohen-Grossberg type, with both bounded and unbounded distributed delay, for which general asymptotic and exponential stability criteria are derived. As illustrations, the results are applied to several concrete models studied in the literature, and a comparison of results is given.
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spelling General criteria for asymptotic and exponential stabilities of neural network models with unbounded delaysCohen-Grossberg neural networkInfinite delayDistributed delayGlobal asymptotic stabilityGlobal exponential stabilityScience & TechnologyFor a family of differential equations with infinite delay, we give sufficient conditions for the global asymptotic, and global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Cohen-Grossberg type, with both bounded and unbounded distributed delay, for which general asymptotic and exponential stability criteria are derived. As illustrations, the results are applied to several concrete models studied in the literature, and a comparison of results is given.Fundação para a Ciência e a Tecnologia (FCT) - 2009-ISFL-1-209Universidade do Minho. Centro de Matemática (CMAT)ElsevierUniversidade do MinhoOliveira, José J.Faria, Teresa2011-082011-08-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/13162eng0096-300310.1016/j.amc.2011.04.049http://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:RCAAP2025-04-12T04:07:27Zoai:repositorium.sdum.uminho.pt:1822/13162Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:51:54.890408Repositórios 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 General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays
title General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays
spellingShingle General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays
Oliveira, José J.
Cohen-Grossberg neural network
Infinite delay
Distributed delay
Global asymptotic stability
Global exponential stability
Science & Technology
title_short General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays
title_full General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays
title_fullStr General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays
title_full_unstemmed General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays
title_sort General criteria for asymptotic and exponential stabilities of neural network models with unbounded delays
author Oliveira, José J.
author_facet Oliveira, José J.
Faria, Teresa
author_role author
author2 Faria, Teresa
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Oliveira, José J.
Faria, Teresa
dc.subject.por.fl_str_mv Cohen-Grossberg neural network
Infinite delay
Distributed delay
Global asymptotic stability
Global exponential stability
Science & Technology
topic Cohen-Grossberg neural network
Infinite delay
Distributed delay
Global asymptotic stability
Global exponential stability
Science & Technology
description For a family of differential equations with infinite delay, we give sufficient conditions for the global asymptotic, and global exponential stability of an equilibrium point. This family includes most of the delayed models of neural networks of Cohen-Grossberg type, with both bounded and unbounded distributed delay, for which general asymptotic and exponential stability criteria are derived. As illustrations, the results are applied to several concrete models studied in the literature, and a comparison of results is given.
publishDate 2011
dc.date.none.fl_str_mv 2011-08
2011-08-01T00:00:00Z
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/1822/13162
url https://hdl.handle.net/1822/13162
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0096-3003
10.1016/j.amc.2011.04.049
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
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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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