2 papers
math.OC2022
Neural networks for first order HJB equations and application to front propagation with obstacle terms
Olivier Bokanowski, Xavier Warin, Averil Prost
We consider a deterministic optimal control problem with a maximum running cost functional, in a finite horizon context, and propose deep neural network approximations for Bellman'…
math.OC2019
Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach
Ilaria Xausa, Robert Baier, Olivier Bokanowski +1
We consider the problem of computing safety regions, modeled as nonconvex backward reachable sets, for a nonlinear car collision avoidance model with time-dependent obstacles. The…