RT Monograph SR 00 A1 Frankowska, H. A1 Quincampoix, M. T1 Dissipative Control Systems and Disturbance Attenuation for Nonlinear H - Problems YR 1996 FD 1996-12 SP 16 AB 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. PB WP-96-117 PP IIASA, Laxenburg, Austria AV Published LK https://pure.iiasa.ac.at/id/eprint/4910/