Pole-shifting for linear systems over commutative rings Original Research Article

This paper deals with the pole-shifting problem for non-necessarily reachable linear systems. The notion of PS ring is introduced in the same way as the notion of pole assignable ring is given for reachable systems. We prove that a bcs ring is a PS ring and that over a Prüfer domain these properties are equivalent. Finally, we study when the converse of the pole-shifting theorem is verified.