Calculating the \(H_\infty\) norm of a fractional system given in state-space form

DOI10.1016/J.AML.2017.11.019zbMath1467.93084OpenAlexW2775410656MaRDI QIDQ1996378

Djillali Bouagada, Samuel Melchior, Paul Van Dooren

Publication date: 4 March 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.11.019

zbMATH Keywords

level sets\(H_\infty\) normfractional systems

Mathematics Subject Classification ID

(H^infty)-control (93B36) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15)

Uses Software

• FOTF Toolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Selected problems of fractional systems theory.
• A course in \(H_{\infty}\) control theory
• A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its \(L_{\infty}\)-norm
• Fractional-order systems and controls. Fundamentals and applications
• Fractional system identification for lead acid battery state of charge estimation
• Positivity and linear matrix inequalities
• Fractional Order PID and First Generation CRONE Control System Design
• A Bisection Method for Measuring the Distance of a Stable Matrix to the Unstable Matrices
• Fractional-Order Control Systems
• Advances in Fractional Calculus
• LMI Characterization of Fractional Systems Stability
• Solving an inverse heat conduction problem using a non-integer identified model

This page was built for publication: Calculating the \(H_\infty\) norm of a fractional system given in state-space form