  The mathematical framework of hybrid system is a recent and general tool to
treat control systems involving control action of heterogeneous nature. In this
paper, we construct and test a semi-Lagrangian numerical scheme for solving the
Dynamic Programming equation of an infinite horizon optimal control problem for
hybrid systems. In order to speed up convergence, we also propose an
acceleration technique based on policy iteration. Finally, we validate the
approach via some numerical tests in low dimension.
