Geodesic
Penalty function method for the minimal time crisis problem
Kenza Boumaza1 ; Térence Bayen2 ; Alain Rapaport1
1 MISTEA, Univ. Montpellier, INRAE, Institut Agro (UMR 729), 34060 Montpellier, France
2 Avignon Université, Laboratoire de Mathématiques d’Avignon (EA 2151), 84018 Avignon, France
ESAIM. Proceedings, Tome 71 (2021), pp. 21-32 Cet article a éte moissonné depuis la source EDP Sciences

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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.
DOI : 10.1051/proc/202171103

Kenza Boumaza 1 ; Térence Bayen 2 ; Alain Rapaport 1

1 MISTEA, Univ. Montpellier, INRAE, Institut Agro (UMR 729), 34060 Montpellier, France
2 Avignon Université, Laboratoire de Mathématiques d’Avignon (EA 2151), 84018 Avignon, France 
@article{EP_2021_71_a3,
     author = {Kenza Boumaza and T\'erence Bayen and Alain Rapaport},
     title = {Penalty function method for the minimal time crisis problem},
     journal = {ESAIM. Proceedings},
     pages = {21--32},
     year = {2021},
     volume = {71},
     doi = {10.1051/proc/202171103},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202171103/}
}
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Kenza Boumaza; Térence Bayen; Alain Rapaport. Penalty function method for the minimal time crisis problem. ESAIM. Proceedings, Tome 71 (2021), pp. 21-32. doi: 10.1051/proc/202171103

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