The problem of finding a guaranteeing program control for a linear system with incomplete information

For a linear control system with constrained control, the problem of terminal control to a target point is considered. The starting point of the process belongs to a known set, but there is no information on which point of the set is the starting point. Sufficient conditions are given for the existence of a solution of the problem in the class of Yu.S. Osipov and A.V. Kryazhimskii's guaranteeing program packages. Calculation results are presented for a model example.