Symplectic, BVD, and Palindromic Approaches to Discrete-Time Control Problems

dc.contributor.authorByers, Ralph
dc.contributor.authorMackey, D. Steven
dc.contributor.authorMehrmann, Volker
dc.contributor.authorXu, Hongguo
dc.date.accessioned2021-12-17T10:08:02Z
dc.date.available2021-12-17T10:08:02Z
dc.date.issued2008-03-12
dc.description.abstractWe give several different formulations for the discrete-time linear-quadratic control problem in terms of structured eigenvalue problems, and discuss the relationships among the associated structured objects: symplectic matrices and pencils, BVD-pencils and polynomials, and the recently introduced classes of palindromic pencils and matrix polynomials. We show how these structured objects can be transformed into each other, and also how their eigenvalues, eigenvectors and invariant/deflating subspaces are related.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15646
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14419
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherdiscrete-time linear-quadratic controlen
dc.subject.othersymplectic matrixen
dc.subject.othersymplectic pencilen
dc.subject.otherBVD-pencilen
dc.subject.otherBVD-polynomialen
dc.subject.otherpalindromic pencilen
dc.subject.otherpalindromic matrix polynomialen
dc.titleSymplectic, BVD, and Palindromic Approaches to Discrete-Time Control Problemsen
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.issuenumber2008, 14en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200065F15 Eigenvalues, eigenvectorsen
tub.subject.msc200015A21 Canonical forms, reductions, classificationen
tub.subject.msc200093B40 Computational methodsen

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