Аннотация
Abstract The absolute stability of a program manifold of control systems with rigid and tachometric feedbacks is considered. Stability conditions of the feedback control systems with constant and variables coefficients are investigated in the neighborhood of a given program manifold. Nonlinearities satisfy to the conditions of local quadratic connections and they are differentiable in all variables. Sufficient conditions of the absolute stability of the program manifold with respect to the given vector functions are obtained by constructing the Lyapunov function. Sufficient conditions of the absolute stability of the program manifold of non autonomous feedback control system with stationary feedbacks are established.