Structure at infinity, model matching and disturbance rejection for linear systems with delays

 Access to full text

 Full (PDF)

1. G. Basile, G. Marro, Controlled and Conditioned Invariants in Linear System Theory, Prentice Hall, N. J. 1992. (1992) Zbl0758.93002MR1149379
2. C. Commault J. F. Lafay, M. Malabre, Structure on linear systems: Geometric and transfer matrix approaches, Kybernetika 27(1991), 170-185. (1991) MR1116831
3. R. Curtain, Invariance concepts in infinite dimensions, SIAM J. Control Optim. 24 (1986), 1009-1031. (1986) Zbl0602.93037MR0854067
4. J. Descusse, J. M. Dion, On the structure at infinity of linear square decoupled systems, IEEE Trans. Automat. Control AC-27 (1982), 4, 971-974. (1982) Zbl0485.93042MR0680500
5. E. Emre, M. L. J. Hautus, A polynomial characterization of (A, B) invariant and reachability subspaces, SIAM J. Control Optim. 18 (1980), 4, 402-436. (1980) Zbl0452.93011MR0579550
6. E. Emre, L. M. Silverman, Partial model matching of linear systems, IEEE Trans. Automat. Control AC-25 (1980), 4, 280-281. (1980) Zbl0432.93026MR0567391
7. G. Lebret, Contribution a l'etude des systemes lineaires generalises: approches geometrique et structurelle, These de Doctorat, Universite de Nantes et Ecole Centrale de Nantes, Nantes 1991. (1991) 
8. M. Malabre, Structure a Pinfini des triplets invariants, In: Analysis and Optimization of Systems - Proceedings of the Fifth International Conference on Analysis and Optimization of Systems, Versailles, December 1982 (A. Bensoussan and J.L. Lions, eds., Lecture Note in Control and Information Sciences 44), Springer-Verlag, Berlin 1982, pp. 43-54. (1982) MR0833317
9. M. Malabre, V. Kučera, Infinite structure and exact model matching problem: polynomial and geometric approaches, Rapport Interne L.A.N. No. 01.83, 1983. (1983) 
10. M. Malabre, V. Kučera, Infinite structure and exact model matching problem: a geometric approach, IEEE Trans. Automat. Control AC-29 (1984), 3, 266-268. (1984) 
11. M. Malabre, R. Rabah, On infinite zeros for infinite dimensional systems, In: Progress in Systems and Control Theory 3, Realization and Modelling in System Theory (Kaashoek, Van Schuppen and Ran, eds.), Vol. 1, Birhauser, Boston, pp. 199-206. MR1115331
12. C. Moog, Inversion, decouplage, poursuite de modele des systemes non lineaires, These de Doctorat es Sciences, ENSM, Nantes 1987. (1987) 
13. M. Morf B.C. Levy, S. Y. Kung, New results in 2-D systems theory. Part 1: 2-D polynomial matrices, factorization, and coprimeness, Proc. IEEE 65 (1977), 6, 861-872. (1977) 
14. A. W. Olbrot, Algebraic criteria of controllability to zero function for linear constant time-lag systems, Control Cybernet. 2 (1973), 59-77. (1973) 
15. L. Pandolfi, Disturbance decoupling and invariant subspaces for delay systems, Appl. Math. Optim. 14 (1986), 55-72. (1986) Zbl0587.93039MR0826852
16. A. M. Perdon, G. Conte, The disturbance decoupling problem for systems over a principal ideal domain, In: Proc. New Trends in Systems Theory, Genova, Progress in Systems and Control Theory 7 (1991), Birkhauser, Boston, pp. 583-590. (1991) Zbl0736.93013MR1125150
17. L. M. Silverman, A. Kitapci, System structure at infinity, In: Colloque National CNRS, Developpement et Utilisation d'Outils et Modeles Mathematiques en Automatique, Analyse des Systemes et Traitement du Signal, Belle-Ile 1982, (CNRS ed.), 3 (1983), pp. 413-424. (1982) MR0783852
18. A. C. Tsoi, Recent advances in the algebraic system theory of delay-differential equations, In: Recent Theoretical Developments in Control (M. J. Gregson, ed.), Chapter 5, Academic Press, New York 1987, pp. 67-127. (1987) MR0534622
19. A. I. G. Vardulakis, Linear Multivariate Control: Algebraic Analysis and Synthesis Methods, Wiley, New York. MR1104222
20. W. M. Wonham, Linear Multivariable Control: a Geometric Approach, Second edition. Springer-Verlag, New York 1979. (1979) Zbl0424.93001MR0569358
21. H. J. Zwart, Geometric theory for infinite dimensional systems, (Lecture Notes in Control and Information Sciences 115.) Springer-Verlag, Berlin 1989. (1989) Zbl0667.93063MR0986977

1. Larbi Afifi, Abdelhakim Chafiai, Abdelhaq El Jai, Spatial compensation of boundary disturbances by boundary actuators
2. Juan Carlos Martínez García, Michel Malabre, Rabah Rabah, The partial non interacting problem: Structural and geometric solutions
3. Rabah Rabah, Michel Malabre, On the structure at infinity of linear delay systems with application to the disturbance decoupling problem
4. Luis Alejandro Márquez-Martínez, Claude H. Moog, Martín Velasco-Villa, The structure of nonlinear time delay systems
5. Rabah Rabah, Michel Malabre, Weak structure at infinity and row-by-row decoupling for linear delay systems