This note studies the eigenstructure assignment problem with output fe
edback for systems satisfying the condition p + m > n. The main tool f
or this exploration, is the concept of (C, A, B)-invariance and two co
upled Sylvester equations; the solution of which leads to the computat
ion of an output stabilizing feedback. A computationally efficient alg
orithm is presented for the solution of these two coupled equations, w
hich leads to the computation of a desired output feedback.