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Computation of Kronecker-like forms of periodic matrix pairs

Varga, Andras (2004) Computation of Kronecker-like forms of periodic matrix pairs. Proc. of Mathematical Theory of Networks and Systems, MTNS 2004, 2004-07-05 - 2004-07-09, Leuven (Belgium).

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Abstract

We propose a computationally efficient and numerically reliable algorithm to compute Kronecker-like forms of periodic matrix pairs. The eigenvalues and Kronecker indices are defined via the Kronecker structure of an associated lifted matrix pencil. The proposed reduction method relies on structure preserving manipulations of this pencil to extract successively lower complexity subpencils which contains the finite and infinite eigenvalues as well as the left and right Kronecker structures. The new algorithm uses exclusively orthogonal transformations and for the overall reduction the backward numerical stability can be proved.

Item URL in elib:https://elib.dlr.de/12058/
Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=2004,
Title:Computation of Kronecker-like forms of periodic matrix pairs
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Varga, AndrasUNSPECIFIEDUNSPECIFIED
Date:July 2004
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Numerical methods, canonical forms, periodic systems
Event Title:Proc. of Mathematical Theory of Networks and Systems, MTNS 2004
Event Location:Leuven (Belgium)
Event Type:international Conference
Event Dates:2004-07-05 - 2004-07-09
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) > System Dynamics and Control (former Control Design Engineering)
Deposited By: DLR-Beauftragter, elib
Deposited On:21 Feb 2006
Last Modified:31 Jul 2019 19:15

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