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Computing the zeros of periodic descriptor systems

Varga, A. and Dooren, P. Van (2003) Computing the zeros of periodic descriptor systems. Systems & Control Letters, 50, pp. 371-381.

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Abstract

In this paper, we give a numerically reliable algorithm to compute the zeros of a periodic descriptor system. The algorithm is a variant of the staircase algorithm applied to the system pencil of an equivalent lifted time-invariant state-space system and extracts a low-order pencil which contains the zeros (both finite and infinite) as well as the Kronecker structure of the periodic descriptor system. The proposed algorithm is efficient in terms of complexity by exploiting the structure of the pencil and is exclusively based on orthogonal transformations, which ensures some form of numerical stability.

Item URL in elib:https://elib.dlr.de/11979/
Document Type:Article
Additional Information:LIDO-Berichtsjahr=2003,
Title:Computing the zeros of periodic descriptor systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Varga, A.UNSPECIFIEDUNSPECIFIED
Dooren, P. VanCESAME, Universitè de Louvain, BelgiumUNSPECIFIED
Date:2003
Journal or Publication Title:Systems & Control Letters
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:50
Page Range:pp. 371-381
Status:Published
Keywords:periodic system, descriptor systems, zeros; poles, numerical methods
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignment
DLR - Research theme (Project):L - no assignment (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012)
Deposited By: DLR-Beauftragter, elib
Deposited On:20 Sep 2007
Last Modified:31 Jul 2019 19:15

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