Dissipative Control Systems and Disturbance Attenuation for Nonlinear H - Problems

Frankowska H & Quincampoix M (1996). Dissipative Control Systems and Disturbance Attenuation for Nonlinear H - Problems. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-96-117

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Abstract

We characterize functions satisfying a dissipative inequality associated with a control problem. Such a characterization is provided in terms of epicontingent and viscosity supersolutions to a Partial Differential Equation called the Hamilton-Jacobi-Bellman-Isaacs equation. Links between viscosity and epicontingent supersolutions are studied. Finally, we derive (possibly discontinuous) disturbance attenuation feedback of the H^{infty}-problem from contingent formulation of the Isaacs' Equation.

Item Type: Monograph (IIASA Working Paper)
Research Programs: Dynamic Systems (DYN)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:07
Last Modified: 10 Aug 2016 17:01
URI: http://pure.iiasa.ac.at/4910

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