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Computation of Normalized Coprime Factorizations of Rational Matrices

Varga, A. (1998) Computation of Normalized Coprime Factorizations of Rational Matrices. Systems & Control Letters, 33, pp. 37-45.

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Abstract

We propose a new computational approach based on descriptor state space algorithms for computing normalized coprime factorizations of arbitrary rational matrices. The proposed approach applies to both continuous- and discrete-time rational transfer-function matrices and shows that each rational matrix possesses a normalized coprime factorization with proper factors. The new method is conceptually very simple, essentially reducing the original factorization problem to one for proper systems. The main computation consists in solving an appropriate generalized algebraic Riccati equation.

Item URL in elib:https://elib.dlr.de/3503/
Document Type:Article
Additional Information:LIDO-Berichtsjahr=1999,
Title:Computation of Normalized Coprime Factorizations of Rational Matrices
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Varga, A.UNSPECIFIEDUNSPECIFIED
Date:1998
Journal or Publication Title:Systems & Control Letters
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:33
Page Range:pp. 37-45
Status:Published
Keywords:Coprime factorization; descriptor systems, generalized Riccati equations, stabilization of descriptor systems, numerical algorithms
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) > Robotic Systems
Deposited By: DLR-Beauftragter, elib
Deposited On:13 Nov 2007
Last Modified:31 Jul 2019 19:14

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