A geometric proof of Rosenbrock's theorem on pole assignment

Moisés Bonilla Estrada; Jean-Jacques Loiseau; Rafael Baquero S.

Kybernetika (1997)

  • Volume: 33, Issue: 4, page 357-370
  • ISSN: 0023-5954

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Bonilla Estrada, Moisés, Loiseau, Jean-Jacques, and Baquero S., Rafael. "A geometric proof of Rosenbrock's theorem on pole assignment." Kybernetika 33.4 (1997): 357-370. <http://eudml.org/doc/28040>.

@article{BonillaEstrada1997,
author = {Bonilla Estrada, Moisés, Loiseau, Jean-Jacques, Baquero S., Rafael},
journal = {Kybernetika},
keywords = {Rosenbrock theorem; pole placement; geometric approach; Brunovský canonical form; cyclic subspaces; invariant factors},
language = {eng},
number = {4},
pages = {357-370},
publisher = {Institute of Information Theory and Automation AS CR},
title = {A geometric proof of Rosenbrock's theorem on pole assignment},
url = {http://eudml.org/doc/28040},
volume = {33},
year = {1997},
}

TY - JOUR
AU - Bonilla Estrada, Moisés
AU - Loiseau, Jean-Jacques
AU - Baquero S., Rafael
TI - A geometric proof of Rosenbrock's theorem on pole assignment
JO - Kybernetika
PY - 1997
PB - Institute of Information Theory and Automation AS CR
VL - 33
IS - 4
SP - 357
EP - 370
LA - eng
KW - Rosenbrock theorem; pole placement; geometric approach; Brunovský canonical form; cyclic subspaces; invariant factors
UR - http://eudml.org/doc/28040
ER -

References

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  10. K. Özçaldiran, Fundamental theorem of linear state feedback for singular systems, In: Proceedings of the 29th CDC, Honolulu 1990, pp. 67-72. (1990) 
  11. H. H. Rosenbrock, State Space and Multivariable Theory, Wiley, New York 1970. (1970) Zbl0246.93010MR0325201
  12. W. M. Wonham, Linear Multivariable Control: A Geometric Approach, Springer-Verlag, New York 1985. (1985) Zbl0609.93001MR0770574
  13. I. Zaballa, Matrices with prescribed rows and invariant factors, Linear Algebra Appl. 87 (1987), 113-146. (1987) Zbl0632.15003MR0878673
  14. P. Zagalak, V. Kučera, Eigenstructure assignment in linear descriptor systems, In: Proceedings of the European Control Conference ECC'91, Grenoble 1991, pp. 409-414. (1991) 
  15. P. Zagalak, J. J. Loiseau, Invariant factors assignment in linear systems, In: Proceedings of the Symposium on Implicit and Nonlinear Systems, Fort Worth 1992, pp. 197-204. (1992) 

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