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dc.contributor.authorPeet, M.M.en_US
dc.contributor.authorBonnet, C.en_US
dc.contributor.authorÖzbay H.en_US
dc.date.accessioned2016-02-08T12:28:15Z
dc.date.available2016-02-08T12:28:15Z
dc.date.issued2009en_US
dc.identifier.issn1708643
dc.identifier.urihttp://hdl.handle.net/11693/28734
dc.description.abstractThis paper gives a description of how "sum-of-squares" (SOS) techniques can be used to check frequency-domain conditions for the stability of neutral differential systems. For delay-dependent stability, we adapt an approach of Zhang et al. [10] and show how the associated conditions can be expressed as the infeasibility of certain semialgebraic sets. For delay-independent stability, we propose an alternative method of reducing the problem to infeasibility of certain semialgebraic sets. Then, using Positivstellensatz results from semi-algebraic geometry, we convert these infeasibility conditions to feasibility problems using sum-of-squares variables. By bounding the degree of the variables and using the Matlab toolbox SOSTOOLS [7], these conditions can be checked using semidefinite programming. © 2009 Springer-Verlag Berlin Heidelberg.en_US
dc.language.isoEnglishen_US
dc.source.titleLecture Notes in Control and Information Sciencesen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/978-3-642-02897-7_9en_US
dc.subjectAlternative methodsen_US
dc.subjectDelay independenten_US
dc.subjectDelay-dependent stabilityen_US
dc.subjectFeasibility problemen_US
dc.subjectFrequency domainsen_US
dc.subjectMatlab toolboxesen_US
dc.subjectNeutral differential systemsen_US
dc.subjectPositivstellensatzen_US
dc.subjectS-systemsen_US
dc.subjectSemi-algebraic geometryen_US
dc.subjectSemi-algebraic setsen_US
dc.subjectSemi-definite programmingen_US
dc.subjectStability analysisen_US
dc.subjectSum of squaresen_US
dc.subjectMATLABen_US
dc.subjectSet theoryen_US
dc.subjectSystem stabilityen_US
dc.titleSOS methods for stability analysis of neutral differential Ssystemsen_US
dc.typeConference Paperen_US
dc.departmentDepartment of Electrical and Electronics Engineering
dc.citation.spage97en_US
dc.citation.epage107en_US
dc.citation.volumeNumber388en_US
dc.identifier.doi10.1007/978-3-642-02897-7_9en_US


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