ABSTRACT
In this chapter, the author focuses on a situation where the controls base essentially on the history of a motion. The problem is resolved via the construction of upper convex hulls for auxiliary functions in a multidimensional space. A method of reducing multidimensional constructions to operations in smaller dimensions is described. In many typical situations optimal strategies utilize partial information on current histories. Our objective is to provide an effective procedure for computing these values. The author gives a functional interpretation for the control process. The research described in this publication has been supported in part from Grant NMS300 of the International Science Foundation.
