Robust control via the computation of permuted graph bases

dc.contributor.authorMehrmann, Volker
dc.contributor.authorPoloni, Federico
dc.date.accessioned2021-12-17T10:10:19Z
dc.date.available2021-12-17T10:10:19Z
dc.date.issued2012-06-10
dc.description.abstractWe present a new numerical method for the γ-iteration in robust control based on the extended matrix pencil formulation of [Benner, Byers, Mehrmann, Xu 2007]. The new method bases the γ iteration on the computation of special subspaces associated with matrix pencils. We introduce a permuted graph representation of these subspaces, which avoids the known difficulties that arise when the iteration is based on the solution of algebraic Riccati equations but at the same time makes use of the special symmetry structures that are present in the problems. We show that the new method is applicable in many situations where the conventional methods fail.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15743
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14516
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherrobust controlen
dc.subject.otherH-infinity controlen
dc.subject.otheralgebraic Riccati equationen
dc.subject.otherpermuted graph basisen
dc.subject.otherLagrangian subspaceen
dc.titleRobust control via the computation of permuted graph basesen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2012, 19en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200065F30 Other matrix algorithmsen
tub.subject.msc200049-04 Explicit machine computation and programsen

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