S. Plaskacz & M. Quincampoix
Title:
"
Discontinuous Mayer Control Problem under state-constraints.
"
Abstract:
This paper deals with Mayer's problem for control systems
with state constraints and - possibly -
discontinuous terminal cost. The main result of this paper consists in
characterizing the value function in term of unique solution to an Hamilton
Jacobi equation.
The above characterization extend well-known results
already obtained in case of regularity of
the cost, and controlability assumptions on the boundary of constraints.
Sommaire