The Principles of dynamics of controlled systems of arbitrary orders

Within the framework of extension of classical mechanics we are constructing the analogues of the principles of motion of centre of mass, of momentum, of moment of momentum, of energy and differential, integral variation principles for nonholonomic dynamics of controlled, mechatronic, electromechanical and avionic systems of arbitrary orders. These principles describes the motions of such systems with ideal by Gartung-Dobronravov holonomic and nonholonomic constraints of arbitrary order as the motions with gradient incomplete programs.