Standard \(H_\infty\)-optimal control problem with a quadratic performance functional of the general form
type: Item
instance of: scholarly article
zbMATH Open document ID: 0980.93023
publication date: 2002-03-04T00:00:00Z
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 49J15
zbMATH DE Number: 1577656
zbMATH Keywords: \(H_\infty\) control
zbMATH Keywords: state space method
zbMATH Keywords: passive systems
zbMATH Keywords: nonconvex necessary and sufficient conditions
zbMATH Keywords: convex sufficient conditions
zbMATH Keywords: existence of a solution
zbMATH Keywords: frequency characteristics
author: Nikita E. Barabanov
MaRDI profile type: Publication
title: Standard \(H_\infty\)-optimal control problem with a quadratic performance functional of the general form
published in: Differential Equations
review text: The paper gives nonconvex necessary and sufficient conditions and convex sufficient conditions for the existence of a solution to the standard \(H_\infty\)-optimization problem with a quadratic function of the general form.NEWLINENEWLINENEWLINEThese conditions are expressed via frequency characteristics and via the coefficients of the systems in the state space.
reviewed by: Mihail Megan
description: scientific article