A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage2830en_US
dc.citation.issueNumber11en_US
dc.citation.spage2824en_US
dc.citation.volumeNumber48en_US
dc.contributor.authorFioravanti, A.R.en_US
dc.contributor.authorBonnet, C.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.contributor.authorNiculescu, S. I.en_US
dc.date.accessioned2016-02-08T09:44:07Z
dc.date.available2016-02-08T09:44:07Z
dc.date.issued2012-08-14en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractThis paper aims to provide a numerical algorithm able to locate all unstable poles, and therefore the characterization of the stability as a function of the delay, for a class of linear fractional-order neutral systems with multiple commensurate delays. We start by giving the asymptotic position of the chains of poles and the conditions for their stability for a small delay. When these conditions are met, the root continuity argument and some simple substitutions allow us to determine the locations where some roots cross the imaginary axis, providing therefore the complete characterization of the stability windows. The same method can be extended to provide the position of all unstable poles as a function of the delay.en_US
dc.identifier.doi10.1016/j.automatica.2012.04.009en_US
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/11693/21277
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.automatica.2012.04.009en_US
dc.source.titleAutomaticaen_US
dc.subjectDelay effectsen_US
dc.subjectFractional systemsen_US
dc.subjectNeutral systemsen_US
dc.subjectRoot-locusen_US
dc.subjectAsymptotic positionen_US
dc.subjectCommensurate delaysen_US
dc.subjectDelay effectsen_US
dc.subjectFractional systemsen_US
dc.subjectImaginary axisen_US
dc.subjectNeutral systemsen_US
dc.subjectNumerical algorithmsen_US
dc.subjectSimple substitutionen_US
dc.subjectTime-delay systemsen_US
dc.subjectAlgorithmsen_US
dc.subjectDelay control systemsen_US
dc.subjectPolesen_US
dc.subjectRoot locien_US
dc.subjectStabilityen_US
dc.titleA numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systemsen_US
dc.typeArticleen_US

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