Directional interpolation in the state space
type: Item
instance of: scholarly article
title: Directional interpolation in the state space
zbMATH Open document ID: 0647.93011
DOI: 10.1016/0167-6911(88)90021-7
author: Hidenori Kimura
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: The author considers the standard \(H^{\infty}\) optimization problem. Given \(T_ 1\), \(T_ 2\) rational matrix functions whose entries are in \(H^{\infty}\), characterize all \(\Phi\) of this class for which \(T_ 2^{-1}(T_ 1-\Phi)\) is such a function and such that \(\| \Phi \|_{\infty}<1\). The author presents a new state space characterization of the well-known parametrized solution to this problem.
Mathematics Subject Classification ID: 93B28
Mathematics Subject Classification ID: 30E05
Mathematics Subject Classification ID: 46E15
Mathematics Subject Classification ID: 30D55
zbMATH DE Number: 4057367
zbMATH Keywords: model-matching
zbMATH Keywords: Nevanlinna-Pick interpolation
zbMATH Keywords: \(H^{\infty }\) optimization
zbMATH Keywords: state space characterization
zbMATH Keywords: parametrized solution
reviewed by: Avraham Feintuch
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90021-7
OpenAlex ID: W2090115080
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description: scientific article; zbMATH DE number 4057367