On variation principles of nonholonomic dynamics of arbitrary orders

Within the framework of classical mechanics the differential principles and integral variation principles, relevant to them, for nonholonomic dynamics of arbitrary orders are constructed. These principles describes a motion of mechanical systems with idea by Gartung - Dobronravov holonomic and nonholonomic constraints of arbitrary order. They can also be used for investigation of dynamic electromechanical and mechatronic systems with incomplete gradient programs of a motion.