A synthesis procedure is developed for a Feedback system consisting of two non-Jinear links : a non-dynamic link v in the plant and a dynamic one—non-linear corrector— consisting of a linear link looped by the link v or by parallel connection of the link — v and a unitary one. Global stability of the system is guaranteed by the absolute stability criterion. It is shown that in such a system the permissible phase shift, of the loop transmission function and then the ultimate achievable feedback in the prescribed frequency band are much larger than those in the conventional absolutely stable single-loop system. The method described is applicable to the band-pass and the low-pass system. Even under the more restricted limitation on the output process (absolutely stable), the benefit in the feedback in the proposed system is remarkable. Examples are included to illustrate the procedure.