Investigation of Robust Stability for Fractional-Order LTI Systems with Multilinear Structure of Ellipsoidal Parametric Uncertainty

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dc.authorscopusid8668043000
dc.authorscopusid55575011000
dc.contributor.authorMatuš? R.
dc.contributor.authorŞenol B.
dc.date.accessioned2024-08-04T20:03:38Z
dc.date.available2024-08-04T20:03:38Z
dc.date.issued2020
dc.departmentİnönü Üniversitesien_US
dc.description4th Computational Methods in Systems and Software, CoMeSySo 2020 -- 14 October 2020 through 17 October 2020 -- 253159en_US
dc.description.abstractThe contribution focuses on the investigation of robust stability for fractional-order linear time-invariant (LTI) systems with the multilinear structure of ellipsoidal parametric uncertainty, i.e., the analyzed family of fractional-order polynomials has the multilinear uncertainty structure and an ellipsoid-shaped uncertainty bounding set. The robust stability test is based on the numerical calculation and subsequent plot of the value sets, and the application of the zero exclusion condition. Unlike the previously published works, this contribution shows that, contrary to the case of a two-dimensional ellipse of parameters, the internal points of a three-dimensional ellipsoid of parameters cannot create the boundary of the value set in the complex plane even under more complicated uncertainty structures, such as the multilinear one. © 2020, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG.en_US
dc.description.sponsorshipMinisterstvo Školství, Mláde?e a T?lov?chovy, MŠMT: LO1303, MSMT-7778/2014en_US
dc.description.sponsorshipAcknowledgments. This work was supported by the Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme project No. LO1303 (MSMT-7778/2014).en_US
dc.identifier.doi10.1007/978-3-030-63319-6_39
dc.identifier.endpage429en_US
dc.identifier.isbn9783030633189
dc.identifier.issn2194-5357
dc.identifier.scopus2-s2.0-85098154110en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage421en_US
dc.identifier.urihttps://doi.org/10.1007/978-3-030-63319-6_39
dc.identifier.urihttps://hdl.handle.net/11616/91952
dc.identifier.volume1295en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.relation.ispartofAdvances in Intelligent Systems and Computingen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEllipsoidal parametric uncertaintyen_US
dc.subjectFractional-order systemsen_US
dc.subjectMultilinear uncertaintyen_US
dc.subjectRobust stabilityen_US
dc.subjectValue seten_US
dc.titleInvestigation of Robust Stability for Fractional-Order LTI Systems with Multilinear Structure of Ellipsoidal Parametric Uncertaintyen_US
dc.typeConference Objecten_US

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