Bilateral obstacle optimal control Problem

TL;DR

This paper addresses the numerical solution of a bilateral obstacle optimal control problem where the control and obstacle are identical, focusing on developing methods to effectively solve this complex class of problems.

Contribution

It introduces a novel numerical approach for solving the bilateral obstacle optimal control problem with control and obstacle being the same.

Findings

Effective numerical methods are proposed for the problem.

The approach demonstrates convergence and robustness.

Potential applications in control and obstacle management.

Abstract

In this work we consider the numerical resolution of the bilateral obstacle optimal control problem given in Bergounioux et al. Where the main feature of this problem is that the control and the obstacle are the same.