Optimal Control Problem for Some Degenerate Variation Inequality: Attainability Problem

Abstract

We study an optimal control problem for degenerate elliptic variation inequality with degenerate weight function of potential type in the so-called class of H-admissible solutions. Using an appropriate regular algorithm of perturbation, we prove attainability of H-optimal pairs via optimal solutions of some non-degenerate perturbed optimal control problems.

Keywords

• optimal control problem
• elliptic variation inequality
• degenerate weight function of potential type
• H-admissible solution
• H-optimal solution
• perturbation