Robust stability 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.authorwosidPekar, Libor/H-6373-2012
dc.authorwosidMatuš?, Radek/H-6355-2012
dc.authorwosidMatuš?, Radek/HPH-8692-2023
dc.authorwosidSENOL, Bilal/Y-5328-2018
dc.contributor.authorMatusu, Radek
dc.contributor.authorSenol, Bilal
dc.contributor.authorPekar, Libor
dc.date.accessioned2024-08-04T20:43:14Z
dc.date.available2024-08-04T20:43:14Z
dc.date.issued2017
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe main aim of this article is to present a graphical approach to robust stability analysis for families of fractional order (quasi-) polynomials with complicated uncertainty structure. More specifically, the work emphasizes the multilinear, polynomial and general structures of uncertainty and, moreover, the retarded quasi-polynomials with parametric uncertainty are studied. Since the families with these complex uncertainty structures suffer from the lack of analytical tools, their robust stability is investigated by numerical calculation and depiction of the value sets and subsequent application of the zero exclusion condition.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). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.en_US
dc.identifier.doi10.1371/journal.pone.0180274
dc.identifier.issn1932-6203
dc.identifier.issue6en_US
dc.identifier.pmid28662173en_US
dc.identifier.scopus2-s2.0-85021674773en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1371/journal.pone.0180274
dc.identifier.urihttps://hdl.handle.net/11616/97875
dc.identifier.volume12en_US
dc.identifier.wosWOS:000404608300136en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.language.isoenen_US
dc.publisherPublic Library Scienceen_US
dc.relation.ispartofPlos Oneen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectController-Designen_US
dc.subjectSystemsen_US
dc.subjectStabilizationen_US
dc.subjectBoundsen_US
dc.titleRobust stability of fractional order polynomials with complicated uncertainty structureen_US
dc.typeArticleen_US

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