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Main Title: Symplectic, BVD, and Palindromic Approaches to Discrete-Time Control Problems
Author(s): Byers, Ralph
Mackey, D. Steven
Mehrmann, Volker
Xu, Hongguo
Type: Research Paper
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.
Subject(s): discrete-time linear-quadratic control
symplectic matrix
symplectic pencil
palindromic pencil
palindromic matrix polynomial
Issue Date: 12-Mar-2008
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 65F15 Eigenvalues, eigenvectors
15A21 Canonical forms, reductions, classification
93B40 Computational methods
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2008, 14
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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