Review article

Two systems of the transcendental equations are formed with application of the method of energy levels: the first system contains n(n -1) equations and n 2 unknown, the second system contains n equations with the same n 2 unknown. Then these two systems are united into one system, with n 2 equations and n 2 unknown. The received system may be transformed to more simple form with the following application for the foundation of the switching moments of the time-optimal control and optimal control time.