Approach to stabilizing feedbacks design for linear time-dependent systems based on the hypothesis of the existence of system fast and slow motions is considered. This hypothesis allows dividing the original system into two subsystems, where its own stabilizing feedbacks can be constructed, which are then combined into a composite control. General algorithm for constructing a composite control is proposed.

A numerical simulation of closed-loop control for the problem of stabilization of the helicopter longitudinal motion is conducted.