  In this paper we study homogenization of a class of control problems in a
stationary and ergodic random environment. This problem has been mostly studied
in the calculus of variations setting in connection to the homogenization of
the Hamilton-Jacobi equations. We extend the result to the control problems
with fairly general state dynamics and macroscopically inhomogeneous
Lagrangians. Moreover, our approach proves homogenization under weaker growth
assumptions on the Lagrangian even in the well-studied calculus of variations
setting.
