Penalty function method for the minimal time crisis problem
Résumé
In this note, we propose a new method to approximate the minimal time crisis problem using an auxiliary control and a penalty function, and show its convergence to a solution to the original problem. The interest of this approach is illustrated on numerical examples for which optimal trajectories can leave and enter the crisis set tangentially.
Domaines
Optimisation et contrôle [math.OC]
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