Dissipative control systems and disturbance attention for nonlinear \(H^\infty\) problems
type: Item
instance of: scholarly article
title: Dissipative control systems and disturbance attention for nonlinear \(H^\infty\) problems
zbMATH Open document ID: 0943.93022
author: Marc Quincampoix
author: Hélène Frankowska
published in: Applied Mathematics and Optimization
publication date: 2000-09-10T00:00:00Z
review text: Functions satisfying a dissipative inequality associated with a control problem are characterized. Such a characterization is provided in terms of an epicontingent solution, or a viscosity supersolution to a partial differential equation called Isaacs's equation. Relations between supersolutions and epicontingent solutions to Isaacs's equation are studied. A disturbance attenuation feedback for the \(H^\infty\) problem is derived from a contingent formulation of Isaacs's equation.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 35R45
zbMATH DE Number: 1340507
zbMATH Keywords: \(H^\infty\)-control
zbMATH Keywords: contingent solution
zbMATH Keywords: viscosity supersolution
zbMATH Keywords: Isaacs's equation
reviewed by: Wenming Bian
MaRDI profile type: Publication
full work available at URL: s002459900120
OpenAlex ID: W1978876895
DOI: 10.1007/S002459900120
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description: scientific article; zbMATH DE number 1340507