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.
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
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
@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/}
}
TY - JOUR
AU - Kenza Boumaza
AU - Térence Bayen
AU - Alain Rapaport
TI - Penalty function method for the minimal time crisis problem
JO - ESAIM. Proceedings
PY - 2021
SP - 21
EP - 32
VL - 71
UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/202171103/
DO - 10.1051/proc/202171103
LA - en
ID - EP_2021_71_a3
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%0 Journal Article
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%A Térence Bayen
%A Alain Rapaport
%T Penalty function method for the minimal time crisis problem
%J ESAIM. Proceedings
%D 2021
%P 21-32
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%U http://geodesic.mathdoc.fr/articles/10.1051/proc/202171103/
%R 10.1051/proc/202171103
%G en
%F EP_2021_71_a3
