Using the transfer approach, we give, under internal stability conditi
ons, a necessary and sufficient condition of equivalence between open-
loop precompensation and a closed-loop configuration that consists of
dynamic output feedback and inside-loop precompensation. Our result is
the generalization of Hammer's result (Hammer 1983) to the general ca
se. This result emphases the use of skew-prime relationships. The para
metrization of this problem's solutions will throw new light on multip
urpose controllers.