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Computation of General Inner-Outer and Spectral Factorizations

Oara, C. and Varga, A. (2000) Computation of General Inner-Outer and Spectral Factorizations. IEEE Transactions on Automatic Control, 45 (12), pp. 2307-2325.

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Abstract

In this paper, we solve two problems in linear systems theory: the computation of the inner-outer and spectral factorizations of a continuous-time system considered in the most general setting. We show that these factorization problems rely essentially on solving for the stabilizing solution a standard algebraic Riccati equation of order usually much smaller than the McMillan degree of the transfer function matrix of the system. The proposed procedures are completely general, being applicable for a polynomial/proper/improper system whose transfer function matrix could be rank deficient and could have poles/zeros on the imaginary axis or at infinity. As an application we discuss the extension to the case of rational matrices of the complete orthogonal decomposition of a constant matrix. Numerical refinements and examples illustrating the proposed approach, are discussed in detail.

Item URL in elib:https://elib.dlr.de/3506/
Document Type:Article
Additional Information:LIDO-Berichtsjahr=1999,
Title:Computation of General Inner-Outer and Spectral Factorizations
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Oara, C.Univ. Polytechnica BucharestUNSPECIFIED
Varga, A.UNSPECIFIEDUNSPECIFIED
Date:2000
Journal or Publication Title:IEEE Transactions on Automatic Control
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:45
Page Range:pp. 2307-2325
Status:Published
Keywords:Term-Descriptor systems, inner-outer factorization, matrix pencils, numerical algorithms, rational matrices, spectral factorization, system zeros
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Flexible Aircraft (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012) > Institut für Robotik und Systemdynamik
Deposited By: DLR-Beauftragter, elib
Deposited On:24 Sep 2007
Last Modified:31 Jul 2019 19:14

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