Volume 71, August 2021FGS’2019 - 19th French-German-Swiss conference on Optimization
|Page(s)||33 - 42|
|Published online||01 September 2021|
On the numerical solution of a free end-time homicidal chauffeur game*
1 Institut für Mathematik, Universit¨ät Würzburg, Emil-Fischer-Strasse 30, 97074 Würzburg, Germany
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2 Institute of Applied Mathematics and Scientific Computing, Department of Aerospace Engineering, Universität der Bundeswehr München, Werner-Heisenberg-Weg 39, 85577 Neubiberg, Germany
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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.
© The authors. Published by EDP Sciences, SMAI 2021
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