Field of values of matrix polytopes

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buir.contributor.authorÖzgüler, A. Bülent
buir.contributor.authorSaadaoui, Karim
dc.citation.epage65en_US
dc.citation.issueNumber1en_US
dc.citation.spage57en_US
dc.citation.volumeNumber1en_US
dc.contributor.authorÖzgüler, A. Bülent
dc.contributor.authorSaadaoui, Karim
dc.date.accessioned2020-10-19T06:20:13Z
dc.date.available2020-10-19T06:20:13Z
dc.date.issued2000
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractThe tool of field of values (also known as the classical numerical range) is used to recover most results available in the literature and to obtain some new one s concerning Hurwitz and Schur stability of matrix polytopes. Some facts obtained by an application of the elementary properties of field of values are as follows. If the vertex matrices have polygonal field of values, then the matrix polytope is Hurwitz and Schur stable if and only if the vertex matrices are Hurwitz and Schur stable, respectively. If the polytope is nonnegative and the symmetric part of each vertex matrix is Schur stable, then the polytope is Schur stable. For polytopes with spectral vertex matrices, Schur stability of vertices is necessaryand sufficient for the Schur stability of the polytope.en_US
dc.description.provenanceSubmitted by Onur Emek (onur.emek@bilkent.edu.tr) on 2020-10-19T06:20:12Z No. of bitstreams: 1 Field_of_values_of_matrix_polytopes.pdf: 570014 bytes, checksum: 4c710882dc7b476a3e54ba839153bc2f (MD5)en
dc.description.provenanceMade available in DSpace on 2020-10-19T06:20:13Z (GMT). No. of bitstreams: 1 Field_of_values_of_matrix_polytopes.pdf: 570014 bytes, checksum: 4c710882dc7b476a3e54ba839153bc2f (MD5) Previous issue date: 2000en
dc.identifier.issn1302-3160
dc.identifier.urihttp://hdl.handle.net/11693/54234
dc.language.isoEnglishen_US
dc.publisherAnadolu Üniversitesien_US
dc.source.titleAnadolu Üniversitesi Bilim ve Teknoloji Dergisien_US
dc.subjectRobust stabilityen_US
dc.subjectStructured perturbationsen_US
dc.subjectMatrix polytopesen_US
dc.subjectInterval matricesen_US
dc.subjectField of valuesen_US
dc.subjectNumerical rangeen_US
dc.titleField of values of matrix polytopesen_US
dc.title.alternativeMatris politoplarının değer alanıen_US
dc.typeArticleen_US

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