Minimax Control of Nonlinear Evolution Equations

Abstract

In this paper we study nonlinear parametric optimal control problems. We formulate the relevant minimax problem and prove the existence of an optimal control. Also, we derive necessary conditions for saddle point optimality. We also associate to the original optimization problem a dual problem, and then for the pair we prove a complete duality theorem. Finally, we present two examples of parabolic distributed parameter systems, which illustrate the abstract results. © 2001 Academic Press.