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

2013Journal article Open access
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dc.contributor.authorEsteves, Salete
dc.contributor.authorGokmen, Elçin
dc.contributor.authorOliveira, José J.
dc.date.accessioned2013-06-13T09:03:58Z
dc.date.available2013-06-13T09:03:58Z
dc.date.issued2013
dc.description.abstractFor 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 publicationpor
dc.identifier.citationEsteves, 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. 9296–9307por
dc.identifier.issn0096-3003
dc.identifier.urihttp://hdl.handle.net/10198/8460
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherElsevierpor
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0096300313002889por
dc.subjectHopfield neural networkpor
dc.subjectBAM neural networkpor
dc.subjectTime-varying coefficientpor
dc.subjectDistributed time delaypor
dc.subjectPeriodic solutionpor
dc.subjectGlobal exponential stabilitypor
dc.titleGlobal exponential stability of nonautonomous neural network models with continuous distributed delayspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage9307por
oaire.citation.startPage9296por
oaire.citation.titleApplied Mathematics and Computationpor
oaire.citation.volume219por
person.familyNameEsteves
person.givenNameSalete
person.identifier.ciencia-id411F-4C00-6212
person.identifier.orcid0000-0002-1353-8462
rcaap.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublicationfda6f257-f565-4810-b563-6d5a6d0b7021
relation.isAuthorOfPublication.latestForDiscoveryfda6f257-f565-4810-b563-6d5a6d0b7021

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