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dc.contributor.authorDe la Sen Parte, Manuel
dc.date.accessioned2018-06-04T12:17:06Z
dc.date.available2018-06-04T12:17:06Z
dc.date.issued2017
dc.identifier.citationDiscrete Dynamics in Nature and Society 2017 : (2017) // Article ID 1497867es_ES
dc.identifier.issn1026-0226
dc.identifier.issn1607-887X
dc.identifier.urihttp://hdl.handle.net/10810/27299
dc.description.abstractThis paper investigates some parallel relations between the operators (I-G) and G in Hilbert spaces in such a way that the pseudocontractivity, asymptotic pseudocontractivity, and asymptotic pseudocontractivity in the intermediate sense of one of them are equivalent to the accretivity, asymptotic accretivity, and asymptotic accretivity in the intermediate sense of the other operator. If the operators are self-adjoint then the obtained accretivity-type properties are also passivity-type properties. Such properties are very relevant in stability theory since they refer to global stability properties of passive feed-forward, in general, nonlinear, and time-varying controlled systems controlled via feedback by elements in a very general class of passive, in general, nonlinear, and time-varying controllers. These results allow the direct generalization of passivity results in controlled dynamic systems to wide classes of tandems of controlled systems and their controllers, described by G-operators, and their parallel interpretations as pseudocontractive properties of their counterpart (I-G)-operators. Some of the obtained results are also directly related to input-passivity, output-passivity, and hyperstability properties in controlled dynamic systems. Some illustrative examples are also given in the framework of dynamic systems described by extended square-integrable input and output signals.es_ES
dc.description.sponsorshipThe author is very grateful to the Spanish Government and European Fund of Regional Development FEDER for Grant DPI2015-64766-R and to UPV/EHU for Grant PGC 17/33.es_ES
dc.language.isoenges_ES
dc.publisherHindawies_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectstabilityes_ES
dc.subjectbehaviores_ES
dc.subjectcriteriaes_ES
dc.titleOn Some Relations between Accretive, Positive, and Pseudocontractive Operators and Passivity Results in Hilbert Spaces and Nonlinear Dynamic Systemses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.holder2017 M. De la Sen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.es_ES
dc.rights.holderAtribución 3.0 España*
dc.relation.publisherversionhttps://www.hindawi.com/journals/ddns/2017/1497867/es_ES
dc.identifier.doi10.1155/2017/1497867
dc.departamentoesElectricidad y electrónicaes_ES
dc.departamentoeuElektrizitatea eta elektronikaes_ES


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2017 M. De la Sen. This is an open access article distributed under the Creative Commons Attribution License, which
permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Except where otherwise noted, this item's license is described as 2017 M. De la Sen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.