Optimal Control of Backward Doubly Stochastic Systems With Partial Information

This technical note is concerned with a class of partial information control problems for backward doubly stochastic systems. By the method of convex variation and duality technique, one sufficient condition (a verification theorem) and one necessary condition for optimality for this type of partial information controls are proved. Then, our theoretical results are applied to study a partial information linear quadratic (LQ) optimal control problem of a backward doubly stochastic system.