Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14415
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Main Title: Explicit solutions of regular linear discrete-time descriptor systems with constant coefficients
Author(s): Brüll, Tobias
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15642
http://dx.doi.org/10.14279/depositonce-14415
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: Explicit solution formulas are presented for systems of the form E x^{k+1} = A x^{k} + f^{k} with regular pencil \lambda E − A. Different results are obtained when one starts at k = 0 and calculates into the future (i.e., E x^{k+1} = A x^{k} + f^{k} with k \in \mathbb N) and when one wants to get a complete solution (i.e., E x^{k+1} = A x^{k} + f^{k} with k \in \mathbb Z).
Subject(s): descriptor system
strangeness index
linear discrete descriptor system
explicit solution
Issue Date: 15-Apr-2008
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 39A05 General
15A06 Linear equations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2008, 18
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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