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Penalty function method for the minimal time crisis problem

Abstract : 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.inrae.fr/hal-03148618
Contributor : Alain Rapaport Connect in order to contact the contributor
Submitted on : Monday, February 22, 2021 - 1:29:46 PM
Last modification on : Friday, May 20, 2022 - 9:04:09 AM
Long-term archiving on: : Sunday, May 23, 2021 - 6:40:10 PM

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Kenza Boumaza, Térence Bayen, Alain Rapaport. Penalty function method for the minimal time crisis problem. ESAIM: Proceedings and Surveys, EDP Sciences, 2021, 71, pp.21-32. ⟨10.1051/proc/202171103⟩. ⟨hal-03148618⟩

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