Stability analysis of the heat equation with time-delayed feedback

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage224en_US
dc.citation.spage220en_US
dc.contributor.authorÇalışkan, Sina Yamaçen_US
dc.contributor.authorÖzbay, Hitayen_US
dc.coverage.spatialHaifa, Israel
dc.date.accessioned2016-02-08T12:26:01Z
dc.date.available2016-02-08T12:26:01Z
dc.date.issued2009-06en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.descriptionDate of Conference: 16-18 June 2009
dc.descriptionConference name: 6th IFAC Symposium on Robust Control Design 2009
dc.description.abstractIn this paper we consider the heat equation with time delayed feedback. Recently, stability analysis of this system, with possibly time-varying delay, is done by Fridman and Orlov (2007, 2009); and a sufficient condition is obtained for stability in terms of a linear matrix inequality. Here we consider the same system, but with constant delay, and perform the stability analysis in the frequency domain. A necessary and sufficient condition is obtained in terms of the system parameters. The result is illustrated with numerical examples. © 2009 IFAC.en_US
dc.description.provenanceMade available in DSpace on 2016-02-08T12:26:01Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2009en
dc.identifier.doi10.3182/20090616-3-IL-2002.00038en_US
dc.identifier.issn1474-6670
dc.identifier.urihttp://hdl.handle.net/11693/28643
dc.language.isoEnglishen_US
dc.publisherIFAC
dc.relation.isversionofhttps://doi.org/10.3182/20090616-3-IL-2002.00038en_US
dc.source.titleIFAC Proceedings Volumes (IFAC-PapersOnline)en_US
dc.subjectConstant delaysen_US
dc.subjectFrequency domainsen_US
dc.subjectHeat equationen_US
dc.subjectNumerical exampleen_US
dc.subjectStability analysisen_US
dc.subjectSufficient conditionsen_US
dc.subjectTime-delayed feedbacken_US
dc.subjectTime-varying delayen_US
dc.subjectFrequency domain analysisen_US
dc.subjectLinear matrix inequalitiesen_US
dc.subjectRobust controlen_US
dc.subjectSystem stabilityen_US
dc.titleStability analysis of the heat equation with time-delayed feedbacken_US
dc.typeConference Paperen_US

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