On approximation of stable linear dynamical systems using Laguerre and Kautz functions
type: Item
instance of: scholarly article
title: On approximation of stable linear dynamical systems using Laguerre and Kautz functions
zbMATH Open document ID: 0856.93017
DOI: 10.1016/0005-1098(95)00198-0
author: B. Wahlberg
author: P. M. Mäkilä
published in: Automatica
publication date: 1997-02-11T00:00:00Z
review text: The paper deals with approximation of stable linear dynamic systems by means of finite length orthogonal series expansions. The Laguerre and Kautz families of orthogonal functions are discussed, and it is shown that these sets of basis functions are optimal in a worst-case sense for systems with bounded transfer functions analytic outside a given disc. This fact is established in the Laplace domain by using conformal mapping techniques and reducing the Kautz approximation problem with two free parameters to two theoretically developed ``one-parameter'' Laguerre approximation problems. Then, the results concerning \(H_2\) and \(H_\infty\) Kautz approximation are given.
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 896678
zbMATH Keywords: approximation
zbMATH Keywords: orthogonal series
zbMATH Keywords: \(H_ \infty\) Kautz approximation
reviewed by: Zygmunt Hasiewicz
MaRDI profile type: Publication
full work available at URL: 0005-1098(95)00198-0
OpenAlex ID: W2055337535
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description: scientific article; zbMATH DE number 896678