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Properties of convergence of a class of iterative processes generated by sequences of self-mappings with applications to switched dynamic systems

dc.contributor.authorDe la Sen Parte, Manuel ORCID
dc.contributor.authorIbeas Hernández, Asier ORCID
dc.date.accessioned2015-10-01T10:23:22Z
dc.date.available2015-10-01T10:23:22Z
dc.date.issued2014-12-15
dc.identifier.citationJournal of Inequalities and Applications 15 : (2014) // ID Article 498es
dc.identifier.issn1029-242X
dc.identifier.urihttp://hdl.handle.net/10810/15738
dc.description.abstractThis article investigates the convergence properties of iterative processes involving sequences of self-mappings of metric or Banach spaces. Such sequences are built from a set of primary self-mappings which are either expansive or non-expansive self-mappings and some of the non-expansive ones can be contractive including the case of strict contractions. The sequences are built subject to switching laws which select each active self-mapping on a certain activation interval in such a way that essential properties of boundedness and convergence of distances and iterated sequences are guaranteed. Applications to the important problem of stability of dynamic switched systems are also given.es
dc.description.sponsorshipThe authors are very grateful to the Spanish Government for Grant DPI2012-30651 and to the Basque Government and UPV/EHU for Grants IT378-10, SAIOTEK S-PE13UN039 and UFI 2011/07. The authors are also grateful to the referees for their suggestions.es
dc.language.isoenges
dc.publisherSpringer International Publishinges
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.subjectdiscrete-continuous systemses
dc.subjecttime-invariant systemses
dc.subjectproximity pointses
dc.subjectdifferential-equationses
dc.subjectadaptive-controles
dc.subjectcyclic mappingses
dc.subjectmetric-spaceses
dc.subjectstabilityes
dc.subjectdelayses
dc.subjectpositivityes
dc.subjectexpansivees
dc.subjectnon-expansivees
dc.subjectcontractive and strictly contractive self-mappingses
dc.subjectswitched dynamic systemses
dc.subjectconvergencees
dc.subjectfixed pointes
dc.titleProperties of convergence of a class of iterative processes generated by sequences of self-mappings with applications to switched dynamic systemses
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.holder2014 Sen and Ibeas; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.es
dc.relation.publisherversionhttp://www.journalofinequalitiesandapplications.com/content/2014/1/498/abstractes
dc.identifier.doi10.1186/1029-242X-2014-498
dc.departamentoesElectricidad y electrónicaes_ES
dc.departamentoeuElektrizitatea eta elektronikaes_ES
dc.subject.categoriaANALYSIS
dc.subject.categoriaDISCRETE MATHEMATICS AND COMBINATORICS
dc.subject.categoriaMATHEMATICS, APPLIED


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