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.

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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.