Robust stability analysis of fractional order interval polynomials

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dc.authoridOzyetkin, Munevver Mine/0000-0002-3819-5240
dc.authoridTan, Nusret/0000-0002-1285-1991
dc.authorwosidOzyetkin, Munevver Mine/AAB-7819-2020
dc.authorwosidTan, Nusret/ABG-8122-2020
dc.contributor.authorTan, Nusret
dc.contributor.authorOezgueven, Oe Faruk
dc.contributor.authorOezyetkin, M. Mine
dc.date.accessioned2024-08-04T20:31:08Z
dc.date.available2024-08-04T20:31:08Z
dc.date.issued2009
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe paper deals with the robust stability analysis of a Fractional Order Interval Polynomial (FOIP) family. Some new results are presented for testing the Bounded Input Bounded Output (BIBO) stability of dynamical control systems whose characteristic polynomials are fractional order polynomials with interval uncertainty structure. It is shown that the Kharitonov theorem is not applicable for this type of polynomial. A procedure is given for computation of the value set of FOIP. Based on the value set, an algorithm is presented for testing the stability of FOIP. The results presented in the paper are useful for the analysis and design of Fractional Order Interval Control Systems (FOICS). Examples are given to show how the proposed method can be used to assess the effects of parametric variations on the stability in feedback loops with fractional order interval transfer functions. (C) 2009 ISA. Published by Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.isatra.2009.01.002
dc.identifier.endpage172en_US
dc.identifier.issn0019-0578
dc.identifier.issn1879-2022
dc.identifier.issue2en_US
dc.identifier.pmid19193371en_US
dc.identifier.scopus2-s2.0-61549083723en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage166en_US
dc.identifier.urihttps://doi.org/10.1016/j.isatra.2009.01.002
dc.identifier.urihttps://hdl.handle.net/11616/94757
dc.identifier.volume48en_US
dc.identifier.wosWOS:000266045400006en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.language.isoenen_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofIsa Transactionsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional order interval polynomialen_US
dc.subjectFractional order control systemen_US
dc.subjectUncertain systemsen_US
dc.subjectRobust stabilityen_US
dc.subjectKharitonov theoremen_US
dc.subjectEdge theoremen_US
dc.titleRobust stability analysis of fractional order interval polynomialsen_US
dc.typeArticleen_US

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