Kybernetika 33 no. 4, 357-370, 1997

A geometric proof of Rosenbrock's theorem on pole assignment

Moisés Bonilla E., Jean-Jacques Loiseau and Rafael Baquero S.


A new proof of the famous Rosenbrock theorem on pole placement by static state feedback is given. This proof only uses well-known basic results of the geometric approach, that are the Brunovský canonical form of controllable systems and the splitting of the state space into cyclic subspaces relatively to the invariant factors of a linear map.


93B55, 93B29, 93B27, 93B10