S. Plaskacz & M. Quincampoix
Titre:
"Value-functions for differential games and control systems with discontinuous terminal cost"
Résumé:
This paper deals with Mayer's problem for control systems and differential games
with
discontinuous terminal cost. The main aim is to provide a new approach allowing
to characterize the value-functions in term of solution - in a suitable
notion - of some PDE's. For differential games, a uniqueness result
for Hamilton-Jacobi-Isaacs' equations allows to prove the existence
of the value under Isaac's condition. This paper extend some results already
well-known in the continuous case.
Sommaire