A note on essential spectra and norms of mixed Hankel-Toeplitz operators
type: Item
instance of: scholarly article
title: A note on essential spectra and norms of mixed Hankel-Toeplitz operators
zbMATH Open document ID: 0663.93024
DOI: 10.1016/0167-6911(88)90047-3
published in: Systems \& Control Letters
publication date: 1988-01-01T00:00:00Z
review text: In this brief, Hankel-Toeplitz operators which occur in feedback theory, e.g., in the minimization of mixed \(H^{\infty}\) sensitivity and complementary sensitivity, will be considered. A method of computing their spectra, eigenvectors, and norms will be presented for infinite- dimensional systems subject to continuous weightings.
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 46J15
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A30
zbMATH DE Number: 4085511
zbMATH Keywords: Hankel-Toeplitz operators
zbMATH Keywords: mixed \(H^{\infty }\) sensitivity
zbMATH Keywords: complementary sensitivity
zbMATH Keywords: spectra
zbMATH Keywords: eigenvectors
zbMATH Keywords: norms
zbMATH Keywords: infinite- dimensional systems
zbMATH Keywords: continuous weightings
author: George Zames
author: Sanjoy K. Mitter
MaRDI profile type: Publication
full work available at URL: 0167-6911(88)90047-3
OpenAlex ID: W1994754392
cites work: On the $H^\infty $-Optimal Sensitivity Problem for Systems with Delays
cites work: Uniformly optimal control of linear feedback systems
cites work: A spectral characterization of \(H^{\infty}\)-optimal feedback performance and its efficient computation
cites work: Minimax frequency domain performance and robustness optimization of linear feedback systems
cites work: Q3951096
cites work: \(L^{\infty}\)-compensation with mixed sensitivity as a broadband matching problem
description: scientific article; zbMATH DE number 4085511