Optimization of Discrete-Time, Stochastic Systems
* This research was supported by a grant from the Greek Ministry of Industry and Technology. In this paper we study discrete-time, finite horizon stochastic systems with multivalued dynamics and obtain a necessary and sufficient condition for optimality using the dynamic programming method. Then we examine a nonlinear stochastic discrete-time system with feedback control constraints and for it, we derive a necessary and sufficient condition for optimality which we then use to establish...