| Title:
|
A geometric proof of Rosenbrock's theorem on pole assignment (English) |
| Author:
|
Bonilla E., Moisés |
| Author:
|
Loiseau, Jean-Jacques |
| Author:
|
Baquero S., Rafael |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
33 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
357-370 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B10 |
| MSC:
|
93B27 |
| MSC:
|
93B29 |
| MSC:
|
93B55 |
| idZBL:
|
Zbl 0949.93028 |
| idMR:
|
MR1471382 |
| . |
| Date available:
|
2009-09-24T19:09:45Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124885 |
| . |
| Reference:
|
[1] P. Brunovský: A classification of linear controllable systems.Kybernetika 6 (1970), 3, 173-188. MR 0284247 |
| Reference:
|
[2] T. Brylawski: The lattice of integer partitions.Discrete Math. 6 (1973), 201-219. Zbl 0283.06003, MR 0325405 |
| Reference:
|
[3] B. W. Dickinson: On the fundamental theorem of linear state variable feedback.IEEE Trans. Automat. Control AC-19 (1974), 577-579. Zbl 0288.93024, MR 0439312 |
| Reference:
|
[4] D. S. Flamm: A new proof of Rosenbrock's theorem on pole assignment.IEEE Trans. Automat. Control AC-25 (1980), 6, 1126-1133. Zbl 0471.93018, MR 0601494 |
| Reference:
|
[5] F. R. Gantmacher: The Theory of Matrices. Vol. I.Chelsea Publishing Co., New York 1977. |
| Reference:
|
[6] T. Kailath: Linear Systems.Prentice-Hall, Inc. Englewood Cliffs, N. J. 1980. Zbl 0454.93001, MR 0569473 |
| Reference:
|
[7] V. Kučera: Assigning the invariant factors by feedback.Kybernetika 17 (1981), 118-127. MR 0624204 |
| Reference:
|
[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 0929801 |
| Reference:
|
[9] J. J. Loiseau K. Özçaldiran M. Malabre, N. Karcanias: Feedback canonical forms of singular systems.Kybernetika 27 (1991), 4, 289-305. MR 1127906 |
| Reference:
|
[10] K. Özçaldiran: Fundamental theorem of linear state feedback for singular systems.In: Proceedings of the 29th CDC, Honolulu 1990, pp. 67-72. |
| Reference:
|
[11] H. H. Rosenbrock: State Space and Multivariable Theory.Wiley, New York 1970. Zbl 0246.93010, MR 0325201 |
| Reference:
|
[12] W. M. Wonham: Linear Multivariable Control: A Geometric Approach.Springer-Verlag, New York 1985. Zbl 0609.93001, MR 0770574 |
| Reference:
|
[13] I. Zaballa: Matrices with prescribed rows and invariant factors.Linear Algebra Appl. 87 (1987), 113-146. Zbl 0632.15003, MR 0878673 |
| Reference:
|
[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. |
| Reference:
|
[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. |
| . |
