A simple and less conservative test for D-stability

dc.creatorOliveira, RCLF
dc.creatorPeres, PLD
dc.date2004
dc.date2014-11-17T06:49:26Z
dc.date2015-11-26T16:40:01Z
dc.date2014-11-17T06:49:26Z
dc.date2015-11-26T16:40:01Z
dc.date.accessioned2018-03-28T23:23:48Z
dc.date.available2018-03-28T23:23:48Z
dc.identifierSiam Journal On Matrix Analysis And Applications. Siam Publications, v. 26, n. 2, n. 415, n. 425, 2004.
dc.identifier0895-4798
dc.identifierWOS:000227761100008
dc.identifier10.1137/S0895479803433842
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/53758
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/53758
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/53758
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1272638
dc.descriptionThis paper is concerned with the characterization of the Hurwitz stability of matrices, which can be written as the product of two square matrices AD with A precisely known and D belonging to the set of all positive diagonal matrices, and the Schur stability of matrices AD for all diagonal D, whose entries have absolute magnitude less than or equal to 1, known as the problem of D-stability. Sufficient conditions are given in terms of linear matrix inequalities formulated at the vertices of an adequately chosen polytope domain, allowing simple and numerically efficient evaluations of D-stability. The conditions proposed provide less conservative results and encompass previous conditions from the literature, as illustrated by examples.
dc.description26
dc.description2
dc.description415
dc.description425
dc.languageen
dc.publisherSiam Publications
dc.publisherPhiladelphia
dc.publisherEUA
dc.relationSiam Journal On Matrix Analysis And Applications
dc.relationSIAM J. Matrix Anal. Appl.
dc.rightsaberto
dc.sourceWeb of Science
dc.subjectHurwitz stability
dc.subjectSchur stability
dc.subjectD-stability
dc.subjectlinear matrix inequalities
dc.subjectDiscrete-time-systems
dc.subjectD-stable Matrices
dc.subjectRobust Stability
dc.subjectUncertain Systems
dc.subjectLmi Characterization
dc.subjectConvex-optimization
dc.subjectLyapunov Functions
dc.subjectEquilibrium
dc.subjectDesign
dc.titleA simple and less conservative test for D-stability
dc.typeArtículos de revistas


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