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dc.creatorBajodek, Mathieues
dc.creatorSeuret, Alexandrees
dc.creatorGouaisbaut, Frédérices
dc.date.accessioned2023-06-02T10:27:23Z
dc.date.available2023-06-02T10:27:23Z
dc.date.issued2022
dc.identifier.issn2405-8963es
dc.identifier.urihttps://hdl.handle.net/11441/146883
dc.description.abstractThis paper investigates the stability analysis of time-delay systems through Lya-punov arguments. Using the existence of a complete Lyapunov-Krasovskii functional and relying on the polynomial approximation theory, our main goal is to approximate the complete Lyapunov functional and to take profit of the supergeometric convergence rate of the truncated error part. Necessary and sufficient conditions in the linear matrix inequality (LMI) framework for sufficiently large approximated orders are consequently proposed. Moreover, an estimation of the necessary order is provided analytically with respect to system parameters.es
dc.formatapplication/pdfes
dc.format.extent6 p.es
dc.language.isoenges
dc.publisherElsevieres
dc.relation.isreferencedbyIFAC-PapersOnLine, 55(36), pp. 175-180, 2022 https://www.sciencedirect.com/science/article/pii/S2405896322030117es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectTime-delay systemses
dc.subjectStability conditionses
dc.subjectLMIes
dc.subjectConverse Lyapunov theoremes
dc.subjectPolynomial approximationes
dc.titleOrder of Legendre-LMI conditions to assess stability of time-delay systemses
dc.typeinfo:eu-repo/semantics/conferenceObjectes
dcterms.identifierhttps://ror.org/03yxnpp24
dc.type.versioninfo:eu-repo/semantics/publishedVersiones
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ingeniería de Sistemas y Automáticaes
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S2405896322030117es
dc.identifier.doi10.1016/j.ifacol.2022.11.353es
dc.contributor.groupUniversidad de Sevilla. TEP102: Ingeniería Automática y Robóticaes
dc.publication.initialPage175es
dc.publication.endPage180es
dc.eventtitle17th IFAC Workshop on Time Delay Systems TDS 2022es
dc.eventinstitutionMontreal, Canadáes

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