On the factorization of rational matrices depending on a parameter
type: Item
instance of: scholarly article
title: On the factorization of rational matrices depending on a parameter
zbMATH Open document ID: 0641.47020
DOI: 10.1016/0167-6911(87)90067-3
author: C. Praagman
published in: Systems \& Control Letters
publication date: 1987-01-01T00:00:00Z
review text: Consider the equation R \(*R=G\) with unknown \(n\times m\) matrix R on the ring S consisting of real rational and proper stable functions. Then the author shows the following relation to a result of \textit{D. Youla} [IRE Trans. Inform. Theory 17, 172-189 (1961)]: For G depending in a certain regular way on a parameter, one can choose the solution R behaving the same as G. The result yields a new (third) metrization of the graph topology due to \textit{M. Vidyasagar} [IEEE Trans. Autom. Conrol. AC 29, 403-418 (1984; Zbl 0536.93042)] on the transfer matrices of linear systems.
Mathematics Subject Classification ID: 47A68
Mathematics Subject Classification ID: 47L05
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 93D25
zbMATH DE Number: 4044521
zbMATH Keywords: graph metric
zbMATH Keywords: spectral factorization
zbMATH Keywords: coprime factorization
zbMATH Keywords: finite dimensional linear system
zbMATH Keywords: transfer matrix
zbMATH Keywords: rational function
zbMATH Keywords: graph topology
MaRDI profile type: Publication
full work available at URL: 0167-6911(87)90067-3
OpenAlex ID: W2072603700
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description: scientific article; zbMATH DE number 4044521