Constructing the reachability set for a control problem with phase constraints

A method is proposed for describing the reachability set in a phase-constrained control problem. Sufficient conditions are obtained when the reachability set in a phase-constrained control problem is the intersection of two sets: the reachability set for the corresponding problem without phase constraints and the set of phase constraints. __________ Translated from Nelineinaya Dinamika i Upravlenie, No. 4, pp. 397–399, 2004.