Dynamical analysis of uncertain neural networks with multiple time delays

dc.authorid0000-0002-4390-5139
dc.contributor.authorArık, Sabrien_US
dc.date.accessioned2015-11-06T12:43:11Z
dc.date.available2015-11-06T12:43:11Z
dc.date.issued2016-02-17
dc.departmentIşık Üniversitesi, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering, Department of Electrical-Electronics Engineeringen_US
dc.description.abstractThis paper investigates the robust stability problem for dynamical neural networks in the presence of time delays and norm-bounded parameter uncertainties with respect to the class of non-decreasing, non-linear activation functions. By employing the Lyapunov stability and homeomorphism mapping theorems together, a new delay-independent sufficient condition is obtained for the existence, uniqueness and global asymptotic stability of the equilibrium point for the delayed uncertain neural networks. The condition obtained for robust stability establishes a matrix-norm relationship between the network parameters of the neural system, which can be easily verified by using properties of the class of the positive definite matrices. Some constructive numerical examples are presented to show the applicability of the obtained result and its advantages over the previously published corresponding literature results.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationArık, S. (2016). Dynamical analysis of uncertain neural networks with multiple time delays. International Journal of Systems Science, 47(3), 730-739. doi:10.1080/00207721.2014.902158en_US
dc.identifier.doi10.1080/00207721.2014.902158
dc.identifier.endpage739
dc.identifier.issn0020-7721
dc.identifier.issn1464-5319
dc.identifier.issue3
dc.identifier.scopus2-s2.0-84941877554
dc.identifier.scopusqualityQ1
dc.identifier.startpage730
dc.identifier.urihttps://hdl.handle.net/11729/706
dc.identifier.urihttp://dx.doi.org/10.1080/00207721.2014.902158
dc.identifier.volume47
dc.identifier.wosWOS:000361191500018
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorArık, Sabrien_US
dc.institutionauthorid0000-0002-4390-5139
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofInternational Journal of Systems Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNeural networksen_US
dc.subjectTime delaysen_US
dc.subjectRobust stabilityen_US
dc.subjectUncertain systemsen_US
dc.subjectRobust exponential stabilityen_US
dc.subjectVarying delaysen_US
dc.titleDynamical analysis of uncertain neural networks with multiple time delaysen_US
dc.typeArticleen_US
dspace.entity.typePublication

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