On the blowing-up of stably free behaviours

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 1541-1546

  Quadrat, Alban ^a   Robertz, Daniel ^b  

^a INRIA   (France)

^b RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

Behaviours; Controllability; Flatness; Multidimensional linear systems with varying coefficients; Singularity

Indexed keywords

CONTROL SYSTEM ANALYSIS; ORDINARY DIFFERENTIAL EQUATIONS; PROJECTION SYSTEMS; TIME VARYING SYSTEMS;

ALGEBRAIC GEOMETRY; FLAT SYSTEM; FLATNESS; ORDINARY DIFFERENTIAL LINEAR SYSTEM;

LINEAR SYSTEMS;

EID: 33847216579     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582377     Document Type: Conference Paper

References (16)

1. F. Chyzak, A. Quadrat, D. Robertz, OREMODULES project, http://wwwb.math.rwth-aachen.de/OreModules.
2. F. Chyzak, A. Quadrat, D. Robertz, "Effective algorithms for parametrizing linear control systems over Ore algebras", to appear in Appl. Algebra Engrg. Comm. Comput,.
3. K. B. Datta, "MathSciNet review of [6]", MathSciNet.
4. M. Fliess, J. Lévine, P. Martin, P. Rouchon, "Flatness and defect of nonlinear systems: introductory theory and examples", Int. J. Control, 61, pp. 1327-1361, (1995).
5. S. Fröhler, U. Oberst, "Continuous time-varying linear systems", Systems Control Lett., 35, pp. 97-110, (1998).
6. F. Malrait, P. Martin, P. Rouchon, "Dynamic feedback transformations of controllable linear time-varying systems", in Lecture Notes in Control and Inform. Sci., 259, Springer, (2001), pp. 55-62.
7. B. Malgrange, "Lettre à P. Rouchon", 26/01/00, private communication with A. Quadrat, 14/02/00.
8. J. C. McConnell, J. C. Robson, Noncommutative Noetherian Rings, American Mathematical Society, (2000).
9. H. K. Pillai, S. Shankar, "A behavioral approach to control of distributed systems", SIAM J. Control Optim., 37, pp. 388-408, (1998).
10. J. W. Polderman, J. C. Willems, Introduction to Mathematical Systems Theory. A Behavioral Approach, TAM 26, Springer, (1998).
11. J.-F. Pommaret, A. Quadrat, "Generalized Bezout Identity", Appl. Algebra Engrg. Comm. Comput., 9, pp. 91-116, (1998).
12. J.-F. Pommaret, A. Quadrat, "A functorial approach to the behaviour of multidimensional control systems", Int. J. Appl. Math, Comput. Sci., 13, pp. 7-13, (2003).
13. J.-F. Pommaret, A. Quadrat, "A differential operator approach to multidimensional optimal control", Int. J. Control, 77, pp. 821-836, (2004).
14. J. J. Rotman, An Introduction to Homological Algebra, Academic Press, (1979).
15. E. D. Sontag, Mathematical Control Theory. Deterministic Finite Dimensional Systems, TAM 6, Springer, (1998).
16. P. Zervos, Le problème de Monge, Mémorial des sciences mathématiques, fasicule LIII, Gauthier-Villars, 1932.