In this paper, the stabilization problem of minimum phase nonlinear systems
by dynamic output feedback is investigated. It is shown that if the zero d
ynamics of an affine nonlinear system is asymptotically stable according to
the kth approximation, then the system is stabilizable by dynamic output f
eedback. The proof is constructive, which provides a method to design the s
tabilizer. The result is applied to investigating the stabilization problem
of the rotating stall in axial flow compressors.