Programmed iteration method for the problem of feedback absorption set design

The problem of approach onto the closed set within phase constrains given by the set with closed sections. We investigate the feedback absorption set which coincides with the set of successful resolvability in the class of nonanticipative strategies. This problem is considered by programmed iteration method. We study topological properties of the feedback absorption set such as dependence of this set on the target set and phase constrains. For the initial positions from the feedback absorption set the resolving strategy is determined constructively.