We extend the applicability of the global

-parametrization method of controller design to a large class of unstable nonlinear plants. The main result is a two-step compensation theorem analogous to that of Zames for unstable linear plants-if

is a nonlinear (possibly unstable) plant and F
0is any incrementally stable controller such that

is incrementally stable, then the class of controllers

which yields an f.g. stable closed-loop system in the unity feedback configuration for

is globally parametrized by finite gain stable maps

with
