Minimal partial realization from generalized orthonormal basis function expansions
type: Item
instance of: scholarly article
title: Minimal partial realization from generalized orthonormal basis function expansions
zbMATH Open document ID: 1005.93010
DOI: 10.1016/S0005-1098(01)00247-3
author: Thomas J. de Hoog
author: Zoltan Szabo
author: Peter Heuberger
author: Paul Van den Hof
author: J. Bokor
published in: Automatica
publication date: 2002-09-05T00:00:00Z
review text: The problem of minimal state-space realization of a rational function with given first \(N\) coefficients of its expansion in a certain generalized orthonormal basis (the so-called Hambo basis) is solved. Explicit formulas are presented for computing the so-called direct and inverse Hambo transforms, which reduces the case of the minimal partial realization problem for Hambo basis expansions to the classical case of such problems for power series expansions. The relevant minimal rational interpolation problem is considered. Some suggestions are given to apply the partial realization algorithm presented in the paper in the approximate sense, i.e., for the purpose of model reduction or system identification.
Mathematics Subject Classification ID: 93B15
Mathematics Subject Classification ID: 93B20
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 93B30
zbMATH DE Number: 1797040
zbMATH Keywords: minimal partial realization
zbMATH Keywords: Hambo bases
zbMATH Keywords: Hambo transform
zbMATH Keywords: all-pass filters
zbMATH Keywords: interpolation
zbMATH Keywords: system identification
zbMATH Keywords: model approximation
Wikidata QID: Q57735932
reviewed by: Dmitry Kaliuzhnyi-Verbovetskyi
MaRDI profile type: Publication
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DBLP publication ID: journals/automatica/HoogSHHB02
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description: scientific article; zbMATH DE number 1797040