Algorithms for the coordinated and autonomous motion control of a mechanica
l system are synthesized. It is shown that, theoretically, algorithms that
are synthesized dynamically decompose a nonlinear system into independent s
ubsystems whose structure and parameters are assigned in the formulation of
the synthesis problem. It is essential that the decomposition is performed
in a natural way, by control functions that are generated by algorithms of
a nonconventional structure rather than by compensating feedbacks. It is a
lso shown that the synthesized algorithms provide for high-accuracy control
and stability of the dynamic characteristics of the system under variation
of its parameters.