Value-Set-Based Approach to Robust Stability Analysis for Ellipsoidal Families of Fractional-Order Polynomials with Complicated Uncertainty Structure

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dc.authoridPekar, Libor/0000-0002-2401-5886
dc.authoridSENOL, Bilal/0000-0002-3734-8807
dc.authoridMatusu, Radek/0000-0002-5242-7781
dc.authorwosidPekar, Libor/H-6373-2012
dc.authorwosidMatuš?, Radek/HPH-8692-2023
dc.authorwosidMatuš?, Radek/H-6355-2012
dc.authorwosidSENOL, Bilal/Y-5328-2018
dc.contributor.authorMatusu, Radek
dc.contributor.authorSenol, Bilal
dc.contributor.authorPekar, Libor
dc.date.accessioned2024-08-04T20:47:03Z
dc.date.available2024-08-04T20:47:03Z
dc.date.issued2019
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThis paper presents the application of a value-set-based graphical approach to robust stability analysis for the ellipsoidal families of fractional-order polynomials with a complex structure of parametric uncertainty. More specifically, the article focuses on the families of fractional-order linear time-invariant polynomials with affine linear, multilinear, polynomic, and general uncertainty structure, combined with the uncertainty bounding set in the shape of an ellipsoid. The robust stability of these families is investigated using the zero exclusion condition, supported by the numerical computation and visualization of the value sets. Four illustrative examples are elaborated, including the comparison with the families of fractional-order polynomials having the standard box-shaped uncertainty bounding set, in order to demonstrate the applicability of this method.en_US
dc.description.sponsorshipEuropean Regional Development Fund under the project CEBIA-Tech Instrumentation [CZ.1.05/2.1.00/19.0376]; Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme [LO1303 (MSMT-7778/2014)]en_US
dc.description.sponsorshipThis work was supported by the European Regional Development Fund under the project CEBIA-Tech Instrumentation No. CZ.1.05/2.1.00/19.0376 and 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.doi10.3390/app9245451
dc.identifier.issn2076-3417
dc.identifier.issue24en_US
dc.identifier.scopus2-s2.0-85077360076en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.3390/app9245451
dc.identifier.urihttps://hdl.handle.net/11616/99127
dc.identifier.volume9en_US
dc.identifier.wosWOS:000518042000186en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMdpien_US
dc.relation.ispartofApplied Sciences-Baselen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectrobust stability analysisen_US
dc.subjectfractional-order systemsen_US
dc.subjectellipsoidal parametric uncertaintyen_US
dc.subjectellipsoidal polynomial familyen_US
dc.subjectcomplicated uncertainty structureen_US
dc.subjectvalue seten_US
dc.titleValue-Set-Based Approach to Robust Stability Analysis for Ellipsoidal Families of Fractional-Order Polynomials with Complicated Uncertainty Structureen_US
dc.typeArticleen_US

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