On balanced realizations of bounded real and positive real functions
type: Item
instance of: scholarly article
title: On balanced realizations of bounded real and positive real functions
zbMATH Open document ID: 0858.93024
DOI: 10.1016/0024-3795(94)00225-8
author: J. W. Hoffmann
author: P. A. Fuhrmann
published in: Linear Algebra and its Applications
publication date: 1996-10-07T00:00:00Z
review text: The authors deal with the derivation of balanced realizations for the classes of scalar bounded real and positive real transfer functions. The method is based on the use of normalized coprime factorizations with respect to indefinite metrics and on the construction of suitable characteristic functions. The central idea is to use the shift realization and choose an appropriate basis for a matrix representation.
reviewed by: Jingbo Wu
Mathematics Subject Classification ID: 93B20
Mathematics Subject Classification ID: 93B15
zbMATH DE Number: 931923
zbMATH Keywords: bounded real transfer functions
zbMATH Keywords: positive real transfer functions
zbMATH Keywords: balanced realizations
zbMATH Keywords: normalized coprime factorizations
zbMATH Keywords: shift realization
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)00225-8
OpenAlex ID: W2042223752
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description: scientific article; zbMATH DE number 931923