%0 Report
%9 IIASA Working Paper
%A Frankowska, H.
%A Quincampoix, M.
%C IIASA, Laxenburg, Austria
%D 1996
%F iiasa:4910
%T Dissipative Control Systems and Disturbance Attenuation for Nonlinear H  - Problems
%U https://pure.iiasa.ac.at/id/eprint/4910/
%X 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.