A geometric proof of Rosenbrock's theorem on pole assignment

@article{Estrada1995AGP,
  title={A geometric proof of Rosenbrock's theorem on pole assignment},
  author={Mois{\'e}s Bonilla Estrada and Jean Jacques Loiseau and Rafael Baquero},
  journal={Kybernetika},
  year={1995},
  volume={33},
  pages={357-370}
}
It is well-known tha t one can assign the poles of a controllable linear system by static state feedback [12]. As far as we are interested not only in assigning the location of the poles but also their multiplicities, it appears that the freedom in modifying the dynamics of the system is limited by the values of the controllability indices of the system. This was the famous result given by Rosenbrock [11]. The aim of the paper is to present a new geometric proof of the Rosenbrock theorem on… CONTINUE READING
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