A duality theory for robust stabilization and model reduction
type: Item
instance of: scholarly article
title: A duality theory for robust stabilization and model reduction
zbMATH Open document ID: 0812.93022
DOI: 10.1016/0024-3795(94)90214-3
published in: Linear Algebra and its Applications
publication date: 1994-08-15T00:00:00Z
review text: It is extended the duality theory presented in the author and \textit{R. Ober} [Int. J. Control 57, No. 3, 627-741 (1993; Zbl 0792.93020)]. The paper presents a unified approach to problems of Hankel norm approximation, model reduction and robust control of rational multivariable transfer functions. The unification is achieved by considering two classes of transfer functions and corresponding normalized coprime factorization. The paper contains a larger number of objects; there are several classes of transfer functions and related normalized coprime factorizations and doubly coprime factorizations of two different types; there are Hankel and Toeplitz operators, Youla-Kucera parametrizations of stabilizing controllers, spectral factorizations, etc. The paper is very useful for the interested and specialized readers.
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 93D09
zbMATH DE Number: 614162
zbMATH Keywords: robust stabilization
zbMATH Keywords: duality theory
zbMATH Keywords: double coprime
zbMATH Keywords: factorization
zbMATH Keywords: Hankel operators
author: P. A. Fuhrmann
reviewed by: Vasile Dragan
MaRDI profile type: Publication
full work available at URL: 0024-3795(94)90214-3
OpenAlex ID: W2017768523
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description: scientific article; zbMATH DE number 614162