https://pure.iiasa.ac.at/id/eprint/4910 2021-08-27T17:15:40Z info:eu-repo/semantics/descriptiveMetadata https://pure.iiasa.ac.at/id/eprint/4910/ Dissipative Control Systems and Disturbance Attenuation for Nonlinear H - Problems Frankowska, H. Quincampoix, M. 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. WP-96-117 1996-12 Monograph NonPeerReviewed text en https://pure.iiasa.ac.at/id/eprint/4910/1/WP-96-117.pdf Frankowska, H. <https://pure.iiasa.ac.at/view/iiasa/1884.html> & Quincampoix, M. <https://pure.iiasa.ac.at/view/iiasa/2311.html> (1996). Dissipative Control Systems and Disturbance Attenuation for Nonlinear H - Problems. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-96-117 info:eu-repo/semantics/objectFile info:eu-repo/semantics/humanStartPage