Symplectic, BVD, and Palindromic Approaches to Discrete-Time Control Problems
dc.contributor.author | Byers, Ralph | |
dc.contributor.author | Mackey, D. Steven | |
dc.contributor.author | Mehrmann, Volker | |
dc.contributor.author | Xu, Hongguo | |
dc.date.accessioned | 2021-12-17T10:08:02Z | |
dc.date.available | 2021-12-17T10:08:02Z | |
dc.date.issued | 2008-03-12 | |
dc.description.abstract | We 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.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15646 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14419 | |
dc.language.iso | en | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.ddc | 510 Mathematik | en |
dc.subject.other | discrete-time linear-quadratic control | en |
dc.subject.other | symplectic matrix | en |
dc.subject.other | symplectic pencil | en |
dc.subject.other | BVD-pencil | en |
dc.subject.other | BVD-polynomial | en |
dc.subject.other | palindromic pencil | en |
dc.subject.other | palindromic matrix polynomial | en |
dc.title | Symplectic, BVD, and Palindromic Approaches to Discrete-Time Control Problems | en |
dc.type | Research Paper | en |
dc.type.version | submittedVersion | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |
tub.series.issuenumber | 2008, 14 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 65F15 Eigenvalues, eigenvectors | en |
tub.subject.msc2000 | 15A21 Canonical forms, reductions, classification | en |
tub.subject.msc2000 | 93B40 Computational methods | en |
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