Structure of linear systems: Geometric and transfer matrix approaches

Christian Commault; Jean-François Lafay; Michel Malabre

Kybernetika (1991)

  • Volume: 27, Issue: 3, page 170-185
  • ISSN: 0023-5954

How to cite

top

Commault, Christian, Lafay, Jean-François, and Malabre, Michel. "Structure of linear systems: Geometric and transfer matrix approaches." Kybernetika 27.3 (1991): 170-185. <http://eudml.org/doc/28967>.

@article{Commault1991,
author = {Commault, Christian, Lafay, Jean-François, Malabre, Michel},
journal = {Kybernetika},
keywords = {disturbance decoupling; model matching},
language = {eng},
number = {3},
pages = {170-185},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Structure of linear systems: Geometric and transfer matrix approaches},
url = {http://eudml.org/doc/28967},
volume = {27},
year = {1991},
}

TY - JOUR
AU - Commault, Christian
AU - Lafay, Jean-François
AU - Malabre, Michel
TI - Structure of linear systems: Geometric and transfer matrix approaches
JO - Kybernetika
PY - 1991
PB - Institute of Information Theory and Automation AS CR
VL - 27
IS - 3
SP - 170
EP - 185
LA - eng
KW - disturbance decoupling; model matching
UR - http://eudml.org/doc/28967
ER -

References

top
  1. H. Aling, J. M. Schumacher, A nine fold canonical decomposition for linear systems, Internat. J. Control 39 (1984), 779-805. (1984) Zbl0539.93007MR0738723
  2. C Commault J. Descusse J. F. Lafay, M. Malabre, New decoupling invariants: the essential orders, Internat. J. Control 44 (1986), 689-700. (1986) 
  3. J. Descusse, J. M. Dion, On the structure at infinity of linear square decouplable systems, IEEE Trans. Automat. Control AC-27 (1982), 971-974. (1982) MR0680500
  4. J. Descusse J. F. Lafay, M. Malabre, Solution of Morgan's problem, IEEE Trans. Automat. Control AC-33 (1988), 732-739. (1988) MR0950794
  5. J. M. Dion, C Commault, The minimal delay decoupling problem: feedback implementation with stability, SIAM J. Control 26 (1988), 66-88. (1988) Zbl0646.93049MR0923304
  6. P. L. Falb, W. Wolovich, Decoupling in the design and synthesis of multivariable systems, IEEE Trans. Automat. Control AC-12 (1967), 651 - 669. (1967) 
  7. G. Forney, Minimal bases of rational vector spaces with application to multivariable linear systems, SIAM J. Control 13 (1975), 493-520. (1975) MR0378886
  8. M. L. J. Hautus, H. Heymann, Linear feedback: An algebraic approach, SIAM J. Control 76(1978), 83-105. (1978) Zbl0385.93015MR0476024
  9. M. L. J. Hautus, H. Heymann, Linear feedback decoupling: Transfer function analysis, IEEE Trans. Automat. Control AC-28 (1983), 823-832. (1983) Zbl0523.93035MR0717840
  10. T. Koussiouris, A frequency domain approach to the block decoupling problem, part 2, Internat. J. Control 32 (1980), 443-447. (1980) MR0587180
  11. S. Icart J. F. Lafay, M. Malabre, Geometric characterization of the interconnection zeros for controllable regularly decouplable systems, Joint Conference in Control Theory, Genova 1990. (1990) 
  12. S. Icart, J. F. Lafay, Decoupling with stability for a class of linear systems via static state feedback, ECC91, Grenoble, juillet 1991. (1991) 
  13. J. J. Loiseau, Some geometric considerations about the Kronecker normal form, Internat. J. Control 42 (1985), 1411-1431. (1985) Zbl0609.93014MR0818345
  14. M. Malabre, Structure á l'infini des triplets invariants: application á la poursuite parfaite de modéle, Analysis and Optimisation of Systems - Proceedings of the Fifth International Conference on Analysis and Optimization of Systems Versailles 1982 (A. Bensoussan, J. L. Lions, eds.; Lecture Notes in Control and Information Sciences 44), Springer-Verlag, Berlin 1982. (1982) Zbl0566.93009MR0833317
  15. M. Malabre, V. Kučera, Infinite structure and exact model matching problem; a geometric approach, IEEE Trans. Automat. Control AC-29 (1984), 226 - 268. (1984) 
  16. M. Malabre, Generalized linear systems: geometric and structural approaches, Linear Algebra Appl. 122/123/124 (1989), 591-624. (1989) Zbl0679.93048MR1020003
  17. M. Malabre, R. Rabah, Zeros at infinity for infinite dimensional systems, Proc. M.T.N.S.89 Amsterdam, Vol. 1, Birkhauser-Verlag, Basel-Boston 1990, pp. 199-206. (1990) Zbl0726.93041MR1115331
  18. C. Moog, Inversion, decouplage, poursuite de modele des systemes non lineaires, These es Sciences, Nantes 1987. (1987) 
  19. A. S. Morse, Structural invariants of linear multivariable systems, SIAM J. Control 11 (1973), 446-465. (1973) Zbl0259.93011MR0386762
  20. H. H. Rosenbrock, State Space and Multivariable Theory, J. Wiley, New York 1970. (1970) Zbl0246.93010MR0325201
  21. J. S. Thorp, The singular pencil of a linear dynamical system, Internat. J. Control 18 (1973), 577-596. (1973) Zbl0262.93020MR0342229
  22. J. C. Willems, Almost invariant subspaces; an approach to high gain feedback design, Part 1: almost controlled subspaces. IEEE Trans. Automat. Control AC-26 (1981), 235 - 252. (1981) Zbl0463.93020MR0609263
  23. W. A. Wolovich, P. Falb, Invariants and canonical forms under dynamic compensation, SIAM J. Control 11 (1976), 998-1008. (1976) Zbl0344.93019MR0424306
  24. W. M. Wonham, Linear Multivariable Control: a Geometric Approach, Springer-Verlag, New York 1979. (1979) Zbl0424.93001MR0569358

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.