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Computation of least order solutions of linear rational equations

Varga, Andras (2004) Computation of least order solutions of linear rational equations. 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 numerically reliable approach for computing solutions of least McMillan order of linear equations with rational matrix coefficients. The main computational ingredients are the orthogonal reduction of the associated system matrix pencil to a certain Kronecker-like staircase form and the solution of a minimal dynamic cover design problem. For these computations we discuss numerically reliable algorithms relying on matrix pencil and descriptor system techniques.

Item URL in elib:https://elib.dlr.de/12060/
Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=2004,
Title:Computation of least order solutions of linear rational equations
Authors:
AuthorsInstitution or Email of AuthorsAuthors 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:Minimum degree design, rational matrix equations, descriptor systems, numerical methods
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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