On the feasibility problem of linear matrix inequalities

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dc.authorscopusid7004030898
dc.authorscopusid54406272200
dc.contributor.authorEldem,V.
dc.contributor.authorŞahin,Ş.
dc.date.accessioned2024-10-15T20:22:23Z
dc.date.available2024-10-15T20:22:23Z
dc.date.issued2011
dc.departmentOkan Universityen_US
dc.department-tempEldem V., Department of Mathematics, Okan University, Tuzla, Istanbul, Turkey; Şahin Ş., Department of Mathematics, Okan University, Tuzla, Istanbul, Turkeyen_US
dc.description.abstractVarious problems in system and control theory can be numerically solved by translating them into linear matrix inequality problems. Although there are numerous software packages that solve LMIs, they provide us only one solution if the feasibility range is nonempty. The objective of this research is to develop a methodology for partial characterization of the feasibility region of a given LMI, and to define this region via conic combinations of a finite number of vectors. Towards the end, we first introduce an inner cone for a given LMI with at least one strictly definite element. Then, we define an outer cone for a given second order LMI with nondefinite elements, and propose a procedure for refining this cone so that it will intersect the feasibility region of the given LMI.en_US
dc.identifier.citation1
dc.identifier.doi[SCOPUS-DOI-BELIRLENECEK-169]
dc.identifier.endpage528en_US
dc.identifier.issn1683-3511
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-82055176115
dc.identifier.scopusqualityQ1
dc.identifier.startpage514en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14517/6738
dc.identifier.volume10en_US
dc.identifier.wosqualityQ1
dc.language.isoen
dc.publisherInstitute of Applied Mathematics of Baku State Universityen_US
dc.relation.ispartofApplied and Computational Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConvex coneen_US
dc.subjectFeasibility problemen_US
dc.subjectLinear matrix inequalitiesen_US
dc.titleOn the feasibility problem of linear matrix inequalitiesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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