Geodesic
On the numerical solution of a free end-time homicidal chauffeur game
Francesca Calà Campana1 ; Alberto De Marchi2 ; Alfio Borzì1 ; Matthias Gerdts2
1 Institut für Mathematik, Universit¨ät Würzburg, Emil-Fischer-Strasse 30, 97074 Würzburg, Germany
2 Institute of Applied Mathematics and Scientific Computing, Department of Aerospace Engineering, Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, 85577 Neubiberg, Germany
ESAIM. Proceedings, Tome 71 (2021), pp. 33-42 Cet article a éte moissonné depuis la source EDP Sciences

Voir la notice de l'article

A functional formulation of the classical homicidal chauffeur Nash game is presented and a numerical framework for its solution is discussed. This methodology combines a Hamiltonian based scheme with proximal penalty to determine the time horizon where the game takes place with a Lagrangian optimal control approach and relaxation to solve the Nash game at a fixed end-time.
DOI : 10.1051/proc/202171104

Francesca Calà Campana 1 ; Alberto De Marchi 2 ; Alfio Borzì 1 ; Matthias Gerdts 2

1 Institut für Mathematik, Universit¨ät Würzburg, Emil-Fischer-Strasse 30, 97074 Würzburg, Germany
2 Institute of Applied Mathematics and Scientific Computing, Department of Aerospace Engineering, Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, 85577 Neubiberg, Germany 
@article{EP_2021_71_a4,
     author = {Francesca Cal\`a Campana and Alberto De Marchi and Alfio Borz{\`\i} and Matthias Gerdts},
     title = {On the numerical solution of a free end-time homicidal chauffeur game},
     journal = {ESAIM. Proceedings},
     pages = {33--42},
     year = {2021},
     volume = {71},
     doi = {10.1051/proc/202171104},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202171104/}
}
TY  - JOUR
AU  - Francesca Calà Campana
AU  - Alberto De Marchi
AU  - Alfio Borzì
AU  - Matthias Gerdts
TI  - On the numerical solution of a free end-time homicidal chauffeur game
JO  - ESAIM. Proceedings
PY  - 2021
SP  - 33
EP  - 42
VL  - 71
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/202171104/
DO  - 10.1051/proc/202171104
LA  - en
ID  - EP_2021_71_a4
ER  - 
%0 Journal Article
%A Francesca Calà Campana
%A Alberto De Marchi
%A Alfio Borzì
%A Matthias Gerdts
%T On the numerical solution of a free end-time homicidal chauffeur game
%J ESAIM. Proceedings
%D 2021
%P 33-42
%V 71
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/202171104/
%R 10.1051/proc/202171104
%G en
%F EP_2021_71_a4
Francesca Calà Campana; Alberto De Marchi; Alfio Borzì; Matthias Gerdts. On the numerical solution of a free end-time homicidal chauffeur game. ESAIM. Proceedings, Tome 71 (2021), pp. 33-42. doi: 10.1051/proc/202171104

Cité par Sources :