Minimum time control problems for non autonomous differential equations

Olivier Bokanowski (1) , Ariela Briani (2) , Hasnaa Zidani (3)

1 LJLL - Laboratoire Jacques-Louis Lions
2 University of Pisa - Università di Pisa
3 ENSTA Paris - École Nationale Supérieure de Techniques Avancées

In this paper, we investigate a minimum time problem for controlled non-autonomous differential systems, with a dynamics depending on the final time. The minimal time function associated to this problem does not satisfy the dynamic programming principle. However, we will prove that it is related to a standard front propagation problem via the reachability function.

Domaines: Analyse numérique [cs.NA]

Olivier Bokanowski, Ariela Briani, Hasnaa Zidani. Minimum time control problems for non autonomous differential equations. 2009. ⟨hal-00387803v1⟩