In this paper we derive a new rank condition which guarantees the arbitrary pole assignability of a given system by dynamic compensators of degree at most $q$. By using this rank condition we establish several new sufficiency conditions which ensure the arbitrary pole assignability of a generic system. Our proofs also comes with a concrete numerical procedure to construct a particular compensator which assigns a given set of closed loop poles.

Pole and zero placement problems (msc 93B55), Geometric methods (msc 93B27)
CWI
Department of Operations Research and System Theory [BS]

Rosenthal, J, & Wang, X. (1995). Output feedback pole placement with dynamic compensators. Department of Operations Research and System Theory [BS]. CWI.