| Title:
|
Block decoupling invariants: Geometric and transfer matrix characterizations (English) |
| Author:
|
Commault, Christian |
| Author:
|
Descusse, Jacques |
| Author:
|
Dion, Jean-Michel |
| Author:
|
Torres, J. A. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
27 |
| Issue:
|
4 |
| Year:
|
1991 |
| Pages:
|
345-361 |
| . |
| Category:
|
math |
| . |
| MSC:
|
93B10 |
| MSC:
|
93B25 |
| MSC:
|
93B27 |
| MSC:
|
93C05 |
| MSC:
|
93C99 |
| idZBL:
|
Zbl 0768.93051 |
| idMR:
|
MR1127910 |
| . |
| Date available:
|
2009-09-24T18:26:46Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124566 |
| . |
| Reference:
|
[1] R. Brockett, M. D. Mesarovic: The reproducibility of multivariate systems.J. Math. Anal. Appl. 2 (1965), 548-563. MR 0184743 |
| Reference:
|
[2] C Commault J. M. Dion, J. Torres: Invariant spaces at infinity of linear systems: Application to block decoupling.IEEE Trans. Automat. Control AC-35 (1990), 5, 618-623. MR 1048996 |
| Reference:
|
[3] C Commault J. M. Dion, J. Torres: Minimal structure in the block decoupling problem with stability.Automatica 27 (1991), 2, 331 - 338. MR 1095423 |
| Reference:
|
[4] C Commault J. Descusse J. M. Dion J. F. Lafay, M. Malabre: New decoupling invariants: the essential orders.Internat. J. Control 44 (1986), 3, 689-700. |
| Reference:
|
[5] J. Descusse, J. M. Dion: On the structure at infinity of linear square decouplable systems.IEEE Trans. Automat. Control AC-27 (1982), 971-974. MR 0680500 |
| Reference:
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[6] J. Descusse J. F. Lafay, M. Malabre: Solution to Morgan's problem.IEEE Trans. Automat. Control AC-33 (1988), 8, 732-739. MR 0950794 |
| Reference:
|
[7] J. Descusse: Block non interacting control with non regular static state feedback.IFSC-Workshop, Prague-Czechoslovakia, Sept. 1989. |
| Reference:
|
[8] J. M. Dion, C Commault: Smith Mc Millan factorizations at infinity or rational matrix functions and their control interpretation.Systems Control Lett. / (1982), 5, 312-320. MR 0670218 |
| Reference:
|
[9] J. M. Dion, C Commault: The minimal delay decoupling problem: feedback implementation with stability.SIAM J. Control 26 (1988), 1, 66 - 82. Zbl 0646.93049, MR 0923304 |
| Reference:
|
[10] J. M. Dion, C Commault, J. Torres: Stable block decoupling invariants: Geometric and transfer matrix characterizations.In: Proceedings of the Conference New Trends in Systems Theory, Genova, Birkhauser, Boston 1989. MR 1125113 |
| Reference:
|
[II] J. M. Dion J. A. Torres, C Commault: New feedback invariants and the block decoupling problem.Internat. J. Control 51 (1990), 1, 219-235. MR 1035875 |
| Reference:
|
[12] P. L. Falb, W. A. Wolovich: Decoupling in the design and synthesis of multivariable control systems.IEEE Trans. Automat. Control AC-12 (1967), 6, 651 - 669. |
| Reference:
|
[13] G. D. Forney: Minimal bases of rational vector spaces with applications to multivariable linear systems.SIAM J. Control 13 (1973), 3, 493 - 520. MR 0378886 |
| Reference:
|
[14] M. L. J. Hautus, M. Heymann: Linear feedback decoupling - transfer function analysis.IEEE Trans. Automat. Control AC-28 (1983), 8, 823-832. Zbl 0523.93035, MR 0717840 |
| Reference:
|
[15] A. S. Morse: Structural invariants of linear multivariable systems.SIAM J. Control Optim. 11 (1973), 446-465. Zbl 0259.93011, MR 0386762 |
| Reference:
|
[16] A. S. Morse, W. M. Wonham: Status of non interacting control.IEEE Trans. Automat. Control AC-16 (1973), 568-581. MR 0307746 |
| Reference:
|
[17] G. Verghese: Infinite Frequency Behaviour in Generalized Dynamical Systems.Ph. D. Dissertation, Dept. Elec. Eng. Stanford Univ., Stanford, Calif. 1978. |
| Reference:
|
[18] U.E. Warren, A. E. Eckberg, Jr.: On the dimension of controllability subspaces: a characterization via polynomal matrices and Kronecker invariants.SIAM J. Control 73 (1975), 2, 434-445. MR 0385683 |
| Reference:
|
[19] W. M. Wonham: Linear Multivariable Control: A Geometric Approach.Springer-Verlag, New York-Berlin-Heidelberg 1979. Zbl 0424.93001, MR 0569358 |
| . |
