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* 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...
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