Calculating the \(H_\infty\) norm of a fractional system given in state-space form
type: Item
instance of: scholarly article
title: Calculating the \(H_\infty\) norm of a fractional system given in state-space form
zbMATH Open document ID: 1467.93084
author: Djillali Bouagada
author: S. A. Melchior
author: Paul van Dooren
published in: Applied Mathematics Letters
publication date: 2021-03-04T00:00:00Z
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7317536
zbMATH Keywords: fractional systems
zbMATH Keywords: \(H_\infty\) norm
zbMATH Keywords: level sets
describes a project that uses: FOTF Toolbox
MaRDI profile type: Publication
full work available at URL: j.aml.2017.11.019
OpenAlex ID: W2775410656
cites work: Solving an inverse heat conduction problem using a non-integer identified model
cites work: Fractional system identification for lead acid battery state of charge estimation
cites work: Fractional Order PID and First Generation CRONE Control System Design
cites work: Advances in Fractional Calculus
cites work: Selected problems of fractional systems theory.
cites work: Q5699297
cites work: Q3141902
cites work: Q3743528
cites work: Q3864730
cites work: Q4233638
cites work: Q4844955
cites work: Fractional-Order Control Systems
cites work: Fractional-order systems and controls. Fundamentals and applications
cites work: A course in \(H_{\infty}\) control theory
cites work: A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its \(L_{\infty}\)-norm
cites work: LMI Characterization of Fractional Systems Stability
cites work: Positivity and linear matrix inequalities
cites work: Q5526485
cites work: A Bisection Method for Measuring the Distance of a Stable Matrix to the Unstable Matrices
DOI: 10.1016/J.AML.2017.11.019
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description: scientific article; zbMATH DE number 7317536