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Robust stability of fractional order polynomials with complicated uncertainty structure

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dc.title Robust stability of fractional order polynomials with complicated uncertainty structure en
dc.contributor.author Matušů, Radek
dc.contributor.author Şenol, Bilal
dc.contributor.author Pekař, Libor
dc.relation.ispartof PLoS ONE
dc.identifier.issn 1932-6203 Scopus Sources, Sherpa/RoMEO, JCR
dc.date.issued 2017
utb.relation.volume 12
utb.relation.issue 6
dc.type article
dc.language.iso en
dc.publisher Public Library of Science
dc.identifier.doi 10.1371/journal.pone.0180274
dc.relation.uri http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0180274
dc.description.abstract The 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. © 2017 Matusu et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1007217
utb.identifier.obdid 43876969
utb.identifier.scopus 2-s2.0-85021674773
utb.identifier.wok 000404608300136
utb.identifier.pubmed 28662173
utb.identifier.coden POLNC
utb.source j-scopus
dc.date.accessioned 2017-09-03T21:40:02Z
dc.date.available 2017-09-03T21:40:02Z
dc.description.sponsorship European 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]
dc.rights Attribution 4.0 International
dc.rights.uri http://creativecommons.org/licenses/by/4.0/
dc.rights.access openAccess
utb.ou CEBIA-Tech
utb.contributor.internalauthor Matušů, Radek
utb.contributor.internalauthor Pekař, Libor
utb.scopus.affiliation Centre for Security, Information and Advanced Technologies (CEBIA-Tech), Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic; Department of Computer Engineering, Faculty of Engineering, Inonu University, Malatya, Turkey; Department of Automation and Control Engineering, Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic
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Attribution 4.0 International Except where otherwise noted, this item's license is described as Attribution 4.0 International