A spectral characterization of \(H^{\infty}\)-optimal feedback performance and its efficient computation
type: Item
instance of: scholarly article
title: A spectral characterization of \(H^{\infty}\)-optimal feedback performance and its efficient computation
zbMATH Open document ID: 0609.93019
DOI: 10.1016/0167-6911(86)90024-1
author: B. George
published in: Systems \& Control Letters
publication date: 1986-01-01T00:00:00Z
review text: The problem considered in this paper is that of giving an efficient computational scheme for the mixed-sensitivity optimization problem \[ \inf \{\| \left[ \begin{matrix} G-UZ\\ F\end{matrix} \right]\|: z\in H^{\infty}_{n\times m}\} \] where \(G\in H^{\infty}_{n\times m}\), \(F\in H^{\infty}_{m\times m}\), \(U\in H^{\infty}_{n\times n}\). The approach reduces this problem to that of computing the spectral radius of a self-adjoint Hankel and Toeplitz operator. The particular structure of this operator allows the computation of the spectral radius by computing the largest eigenvalue.
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 93B28
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 3987135
zbMATH Keywords: feedback
zbMATH Keywords: \(H^{\infty }\)-optimization
zbMATH Keywords: mixed-sensitivity optimization problem
zbMATH Keywords: spectral radius
zbMATH Keywords: self-adjoint Hankel and Toeplitz operator
reviewed by: Avraham Feintuch
MaRDI profile type: Publication
full work available at URL: 0167-6911(86)90024-1
OpenAlex ID: W1995576541
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description: scientific article; zbMATH DE number 3987135