@techreport{iiasa4910, month = {December}, type = {IIASA Working Paper}, title = {Dissipative Control Systems and Disturbance Attenuation for Nonlinear H - Problems}, address = {IIASA, Laxenburg, Austria}, publisher = {WP-96-117}, year = {1996}, url = {https://pure.iiasa.ac.at/id/eprint/4910/}, 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.}, author = {Frankowska, H. and Quincampoix, M.} }