Before revision:  The problems involve optimisation of a functional  in which the control features quadratically , while in the state dynamics it appears as a drift perturbation to Brownian paths on Wiener space.
After revision:  The problems involve optimisation of a functional of Brownian paths on Wiener space, with the paths perturbed by a drift involving the control. In addition there is a penalty term in which the control features quadratically , while in the state dynamics it appears as a drift perturbation to Brownian paths on Wiener space.