Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14599
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Main Title: Computation of State Reachable Points of Descriptor Systems
Author(s): Datta, Subashish
Mehrmann, Volker
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15826
http://dx.doi.org/10.14279/depositonce-14599
License: http://rightsstatements.org/vocab/InC/1.0/
Abstract: This paper considers the problem of computing the state reachable points, from the origin, of a linear constant coefficient descriptor system. A numerical algorithm is proposed that can be implemented to characterize the reachable set in a numerically stable way. The original descriptor system is transformed into strangeness-free system within the behavioral framework followed by a projection that separates the system into its differential and algebraic parts. It is shown that the computation of the image space of two matrices, associated with the projected system, is enough to compute the reachable set (from the origin). Moreover, a characterization is presented of all the inputs by which one can reach to any arbitrary points in the reachable set. The effectiveness of the proposed approach is demonstrated through numerical examples.
Subject(s): linear descriptor system
behavior formulation
strangeness-free formulation
reachability
Issue Date: 27-Mar-2014
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93A10 General systems
15A21 Canonical forms, reductions, classification
93C05 Linear systems
93C15 Systems governed by ordinary differential equations
93B05 Controllability
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2014, 02
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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