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Order of Legendre-LMI conditions to assess stability of time-delay systems
dc.creator | Bajodek, Mathieu | es |
dc.creator | Seuret, Alexandre | es |
dc.creator | Gouaisbaut, Frédéric | es |
dc.date.accessioned | 2023-06-02T10:27:23Z | |
dc.date.available | 2023-06-02T10:27:23Z | |
dc.date.issued | 2022 | |
dc.identifier.issn | 2405-8963 | es |
dc.identifier.uri | https://hdl.handle.net/11441/146883 | |
dc.description.abstract | This 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.format | application/pdf | es |
dc.format.extent | 6 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.isreferencedby | IFAC-PapersOnLine, 55(36), pp. 175-180, 2022 https://www.sciencedirect.com/science/article/pii/S2405896322030117 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Time-delay systems | es |
dc.subject | Stability conditions | es |
dc.subject | LMI | es |
dc.subject | Converse Lyapunov theorem | es |
dc.subject | Polynomial approximation | es |
dc.title | Order of Legendre-LMI conditions to assess stability of time-delay systems | es |
dc.type | info:eu-repo/semantics/conferenceObject | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ingeniería de Sistemas y Automática | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S2405896322030117 | es |
dc.identifier.doi | 10.1016/j.ifacol.2022.11.353 | es |
dc.contributor.group | Universidad de Sevilla. TEP102: Ingeniería Automática y Robótica | es |
dc.publication.initialPage | 175 | es |
dc.publication.endPage | 180 | es |
dc.eventtitle | 17th IFAC Workshop on Time Delay Systems TDS 2022 | es |
dc.eventinstitution | Montreal, Canadá | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
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IFAC_seuret_2023_order.pdf | 477.6Kb | ![]() | Ver/ | |