\(H_{2}\) and \(H_{\infty}\) norm computations of linear continuous-time periodic systems via the skew analysis of frequency response operators
type: Item
instance of: scholarly article
title: \(H_{2}\) and \(H_{\infty}\) norm computations of linear continuous-time periodic systems via the skew analysis of frequency response operators
zbMATH Open document ID: 1044.93020
DOI: 10.1016/S0005-1098(02)00038-9
author: Jun Zhou
author: Tomomichi Hagiwara
published in: Automatica
publication date: 2002-09-05T00:00:00Z
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C80
zbMATH DE Number: 1797121
zbMATH Keywords: \(H_{2}\) and \(H_{\infty}\) norms
zbMATH Keywords: Continuous-time periodic systems
zbMATH Keywords: Frequency response operator
zbMATH Keywords: Skew truncation
zbMATH Keywords: maximum singular value
zbMATH Keywords: Hamiltonian test
zbMATH Keywords: algorithm
MaRDI profile type: Publication
cites work: Frequency response of sampled-data systems
cites work: A general framework for linear periodic systems with applications to H/sup infinity / sampled-data control
cites work: The \({\mathcal H}^ 2\) problem for sampled-data systems
cites work: Invariant representations of discrete-time periodic systems
cites work: The Periodic Lyapunov Equation
cites work: Q5389643
cites work: Q5389651
cites work: Q4255489
cites work: FR-operator approach to the H/sub 2/ analysis and synthesis of sampled-data systems
cites work: A new approach to the discretization of continuous-time controllers
cites work: Differential equations. Classical to controlled
cites work: Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart \& Winston, Inc.
cites work: Approximation of frequency response for sampled-data control systems
cites work: H\(_{2}\) performance of continuous-time periodically time-varying controllers
cites work: Existence Conditions and Properties of the Frequency Response Operators of Continuous-Time Periodic Systems
cites work: Stability analysis of continuous-time periodic systems via the harmonic analysis
full work available at URL: s0005-1098(02)00038-9
OpenAlex ID: W2028791438
description: scientific article; zbMATH DE number 1797121