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.

,
CWI
Department of Operations Research, Statistics, and System Theory [BS]

Heinrich, L., & Molchanov, I. (1995). Central limit theorem for a class of random measures associated with germ-grain models. Department of Operations Research, Statistics, and System Theory [BS]. CWI.