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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.
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https://hal-univ-avignon.archives-ouvertes.fr/hal-02496505
Contributor : Terence Bayen <>
Submitted on : Tuesday, March 10, 2020 - 11:11:26 AM
Last modification on : Thursday, July 2, 2020 - 2:22:01 PM
Long-term archiving on: : Thursday, June 11, 2020 - 2:49:21 PM

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  • HAL Id : hal-02496505, version 1

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Kenza Boumaza, Térence Bayen, Alain Rapaport. Penalty function method for the minimal time crisis problem. 2020. ⟨hal-02496505⟩

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