@article{KYB_1997_33_4_a0,
author = {Bonilla E., Mois\'es and Loiseau, Jean-Jacques and Baquero S., Rafael},
title = {A geometric proof of {Rosenbrock's} theorem on pole assignment},
journal = {Kybernetika},
pages = {357--370},
year = {1997},
volume = {33},
number = {4},
mrnumber = {1471382},
zbl = {0949.93028},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_1997_33_4_a0/}
}
TY - JOUR AU - Bonilla E., Moisés AU - Loiseau, Jean-Jacques AU - Baquero S., Rafael TI - A geometric proof of Rosenbrock's theorem on pole assignment JO - Kybernetika PY - 1997 SP - 357 EP - 370 VL - 33 IS - 4 UR - http://geodesic.mathdoc.fr/item/KYB_1997_33_4_a0/ LA - en ID - KYB_1997_33_4_a0 ER -
Bonilla E., Moisés; Loiseau, Jean-Jacques; Baquero S., Rafael. A geometric proof of Rosenbrock's theorem on pole assignment. Kybernetika, Tome 33 (1997) no. 4, pp. 357-370. http://geodesic.mathdoc.fr/item/KYB_1997_33_4_a0/
[1] P. Brunovský: A classification of linear controllable systems. Kybernetika 6 (1970), 3, 173-188. | MR
[2] T. Brylawski: The lattice of integer partitions. Discrete Math. 6 (1973), 201-219. | MR | Zbl
[3] B. W. Dickinson: On the fundamental theorem of linear state variable feedback. IEEE Trans. Automat. Control AC-19 (1974), 577-579. | MR | Zbl
[4] D. S. Flamm: A new proof of Rosenbrock's theorem on pole assignment. IEEE Trans. Automat. Control AC-25 (1980), 6, 1126-1133. | MR | Zbl
[5] F. R. Gantmacher: The Theory of Matrices. Vol. I. Chelsea Publishing Co., New York 1977.
[6] T. Kailath: Linear Systems. Prentice-Hall, Inc. Englewood Cliffs, N. J. 1980. | MR | Zbl
[7] V. Kučera: Assigning the invariant factors by feedback. Kybernetika 17 (1981), 118-127. | MR
[8] J. J. Loiseau: Sur la Modification de la Structure à l'lnfini par un Retour d'Etat Statique. SIAM J. Control Optim. 26 (1988), 2, 251-273. | MR
[9] J. J. Loiseau K. Özçaldiran M. Malabre, N. Karcanias: Feedback canonical forms of singular systems. Kybernetika 27 (1991), 4, 289-305. | MR
[10] K. Özçaldiran: Fundamental theorem of linear state feedback for singular systems. In: Proceedings of the 29th CDC, Honolulu 1990, pp. 67-72.
[11] H. H. Rosenbrock: State Space and Multivariable Theory. Wiley, New York 1970. | MR | Zbl
[12] W. M. Wonham: Linear Multivariable Control: A Geometric Approach. Springer-Verlag, New York 1985. | MR | Zbl
[13] I. Zaballa: Matrices with prescribed rows and invariant factors. Linear Algebra Appl. 87 (1987), 113-146. | MR | Zbl
[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.
[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.