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Kybernetika 33(4):357-370, 1997.

A Geometric Proof of Rosenbrock's Theorem on Pole Assignment.

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


Abstract:

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 Brunovsk\'{y} canonical form of controllable systems and the splitting of the state space into cyclic subspaces relatively to the invariant factors of a linear map.


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BIB TeX

@article{kyb:1997:4:357-370,

author = {Loiseau, Jean-Jacques and Baquero, Raf\ael S. and Bonilla, Mois\'{e}s E.},

title = {A Geometric Proof of Rosenbrock's Theorem on Pole Assignment.},

journal = {Kybernetika},

volume = {33},

year = {1997},

number = {4},

pages = {357-370}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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