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On computing the zeros of periodic systems

Varga, Andras and Dooren, Paul Van (2002) On computing the zeros of periodic systems. In: Proc. of CDC'02, pp. 1-6. 41st IEEE 2002 Conference on Decision and Control, 2002-12-10 - 2002-12-13, Las Vegas (USA). ISBN 0-7803-7517-3

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Abstract

We present an effcient and numerically reliable approach to compute the zeros of a periodic system. The zeros are defined in terms of the transfer-function matrix corresponding to an equivalent lifted statespace representation as constant system. The proposed method performs locally row compressions of the associated system pencil to extract a low order pencil which contains the zeros (both finite and infinite) as well as the Kronecker structure of the periodic system. The proposed algorithm belongs to the family of fast, structure exploiting algorithms and relies exclusively on using orthogonal transformations. For the overall zeros computation a certain form of numerical stability can be ensured.

Item URL in elib:https://elib.dlr.de/11858/
Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=2002,
Title:On computing the zeros of periodic systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Varga, AndrasUNSPECIFIEDUNSPECIFIED
Dooren, Paul VanUniversité catholique de LouvainUNSPECIFIED
Date:July 2002
Journal or Publication Title:Proc. of CDC'02
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Page Range:pp. 1-6
ISBN:0-7803-7517-3
Status:Published
Keywords:periodic systems, system zero, numerical methods
Event Title:41st IEEE 2002 Conference on Decision and Control
Event Location:Las Vegas (USA)
Event Type:international Conference
Event Dates:2002-12-10 - 2002-12-13
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:08 Mar 2006
Last Modified:31 Jul 2019 19:15

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