relation: https://pure.iiasa.ac.at/id/eprint/4910/ title: Dissipative Control Systems and Disturbance Attenuation for Nonlinear H - Problems creator: Frankowska, H. creator: Quincampoix, M. description: 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. publisher: WP-96-117 date: 1996-12 type: Monograph type: NonPeerReviewed format: text language: en identifier: https://pure.iiasa.ac.at/id/eprint/4910/1/WP-96-117.pdf identifier: Frankowska, H. & Quincampoix, M. (1996). Dissipative Control Systems and Disturbance Attenuation for Nonlinear H - Problems. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-96-117