On a Highly Nonlinear Self-Obstacle Optimal Control Problem
We consider a non-quadratic optimal control problem associated to a nonlinear elliptic variational inequality, where the obstacle is the control itself. We show that, fixed a desired profile, there exists an optimal solution which is not far from it. Detailed characterizations of the optimal solution are given, also in terms of approximating problems.
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗