The problems of the stability system that arise in the construction of different automatic systems of indirect control are considered. It is known that a given program is not always exactly performed, since there are always initial, constantly acting perturbations. Therefore, it is also reasonable to require the program manifold’s stability itself relative to some quality indicator.

In the first part, the stability being investigated of automatic indirect control systems with rigid and tachometric feedback. Necessary and sufficient conditions of the program manifold’s absolute stability are established separately. In the second part, automatic systems of indirect control in the presence of an external load are considered. The equations of the hydraulic actuator, taking into account the action of an external load, are presented in a convenient form for research. Then it reduces to studying the stability of the system of equations with respect to a given program manifold.

By constructing Lyapunov’s functions for the system in canonical form, sufficient conditions of the program manifold’s absolute stability are obtained. The results obtained can be used in the formation of stable indirect systems of automatic control.