Y. Aoustin, M. Fliess, H. Mounier, P. Rouchon, and J. Rudolph, Theory and practice in the motion planning and control of a flexible robot arm using Mikusi´nskiMikusi´nski operators, Proceedings of the 5th Symposium on Robot Control, pp.287-293, 1997.

C. A. Berenstein and A. Yger, Analytic Bezout identities, Advances in Applied Mathematics, vol.10, issue.1, pp.51-74, 1989.
DOI : 10.1016/0196-8858(89)90003-1
URL : http://doi.org/10.1016/0196-8858(89)90003-1

D. Brethé and J. Loiseau, A result that could bear fruit for the control of delay-differential systems, Proceedings of the 4th IEEE Mediterranean Symposium on Control Automation, pp.168-172, 1996.

D. Brethé and J. J. Loiseau, Proper stable factorizations for time-delay systems, ProcProceedings of the 4th European Control Conference, 1997.

D. Brethé and J. Loiseau, An effective algorithm for finite spectrum assignment of singleinput systems with delays, Math. Comput. Simulation, pp.45-339, 1998.

R. Courant and D. Hilbert, Methoden der mathematischen Physik, 1924.

R. Courant and D. Hilbert, Methoden der mathematischen Physik, 1937.

R. F. Curtain and H. Zwart, An Introduction to Infinite-Dimensional Linear Systems Theory, 1995.
DOI : 10.1007/978-1-4612-4224-6

R. Dager and E. Zuazua, Wave Propagation, Observation and Control in 1-d Flexible Multistructures, Math. Appl. (Berlin), vol.50, 2006.

W. F. Donoghue, Distributions and Fourier transforms, 1969.

M. Fliess, Some basic structural properties of generalized linear systems, Systems & Control Letters, vol.15, issue.5, pp.391-396, 1990.
DOI : 10.1016/0167-6911(90)90062-Y

M. Fliess, A remark on Willems' trajectory characterization of linear controllability, Systems & Control Letters, vol.19, issue.1, pp.43-45, 1992.
DOI : 10.1016/0167-6911(92)90038-T

M. Fliess, J. Lévine, . Ph, P. Martin, and . Rouchon, Flatness and defect of non-linear systems: introductory theory and examples, International Journal of Control, vol.4, issue.6, pp.61-1327, 1995.
DOI : 10.1109/9.73561

M. Fliess and H. Mounier, Controllability and observability of linear delay systems: an algebraic approach, ESAIM: Control, Optimisation and Calculus of Variations, vol.3, pp.301-314, 1998.
DOI : 10.1051/cocv:1998111

M. Fliess and H. Mounier, A trajectorian interpretation of torsion-free controllability, IMA J. Math. Control Inform, vol.37, pp.295-308, 2002.

M. Fliess, H. Mounier, P. Rouchon, and J. Rudolph, Controllability and motion planning for linear delay systems with an application to a flexible rod, Proceedings of 1995 34th IEEE Conference on Decision and Control, pp.2046-2051, 1995.
DOI : 10.1109/CDC.1995.480649

H. Glüsing-lüerßen, A Behavioral Approach To Delay-Differential Systems, SIAM Journal on Control and Optimization, vol.35, issue.2, pp.480-499, 1997.
DOI : 10.1137/S0363012995281869

H. Glüsing-lüerßen, A Convolution Algebra of Delay-Differential Operators and a Related Problem of Finite Spectrum Assignability, Mathematics of Control, Signals, and Systems, vol.13, issue.1, pp.22-40, 2000.
DOI : 10.1007/PL00009859

O. Helmer, Divisibility properties of integral functions, Duke Math, J, vol.6, pp.345-356, 1940.

O. Helmer, The elementary divisor theorem for certain rings without chain condition, Bulletin of the American Mathematical Society, vol.49, issue.4, pp.225-236, 1943.
DOI : 10.1090/S0002-9904-1943-07886-X

L. Hörmander, Generators for some rings of analytic functions, Bulletin of the American Mathematical Society, vol.73, issue.6, pp.943-949, 1967.
DOI : 10.1090/S0002-9904-1967-11860-3

L. Hörmander, The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis, Grundlehren Math, Wiss, vol.256, 1983.

L. Hörmander, The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients, Grundlehren Math, Wiss, vol.257, 1990.

H. Komatsu, Ultradistributions. I. Structure theorems and a characterization, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.20, pp.25-105, 1973.

H. Komatsu and I. Ultradistributions, The kernel theorem and ultradistributions with support in a manifold, J. Fac. Sci. Univ. Tokyo Sect. IA Math, pp.24-607, 1973.

J. Lagnese, G. Leugering, and E. J. Schmidt, Modelling, Analysis and Control of Multi-link Flexible Structures, 1994.

B. Laroche, . Ph, P. Martin, and . Rouchon, Motion planning for the heat equation, International Journal of Robust and Nonlinear Control, vol.59, issue.60, pp.629-643, 2000.
DOI : 10.1002/1099-1239(20000715)10:8<629::AID-RNC502>3.0.CO;2-N

B. Malgrange, Systèmes différentielsdifférentiels`différentielsà coefficients constants, Semin. Bourbaki, vol.1563, issue.246, 1962.

H. Mounier, Algebraic interpretations of the spectral controllability of a linear delay system, Forum Mathematicum, vol.10, issue.1, pp.39-58, 1998.
DOI : 10.1515/form.10.1.39

H. Mounier, J. Rudolph, M. Petitot, and M. Fliess, A flexible rod as a linear delay system, Proceedings of the 3rd European Control Conference, pp.3676-3681, 1995.

U. Oberst, Multidimensional constant linear systems, Acta Applicandae Mathematicae, vol.26, issue.124, pp.1-175, 1990.
DOI : 10.1007/BF00046908

V. P. Palamodov, Linear Differential Operators with Constant Coefficients, 1970.
DOI : 10.1007/978-3-642-46219-1

N. Petit and P. Rouchon, Flatness of Heavy Chain Systems, SIAM Journal on Control and Optimization, vol.40, issue.2, pp.475-495, 2001.
DOI : 10.1137/S0363012900368636

N. Petit and P. Rouchon, Dynamics and solutions to some control problems for water-tank systems, IEEE Transactions on Automatic Control, vol.47, issue.4, pp.47-594, 2002.
DOI : 10.1109/9.995037

G. Picavet, M. Picavet, and L. Hermitte, Trigonometric polynomial rings, in Commutative Ring Theory and Applications, Lecture Notes in Pure and Appl, Math, vol.231, pp.419-433, 2003.

H. K. Pillai and S. Shankar, A Behavioral Approach to Control of Distributed Systems, SIAM Journal on Control and Optimization, vol.37, issue.2, pp.388-408, 1998.
DOI : 10.1137/S0363012997321784

A. D. Polyanin, Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2002.
DOI : 10.1201/9781420035322

J. F. Pommaret and A. Quadrat, Algebraic analysis of linear multidimensional control systems, IMA Journal of Mathematical Control and Information, vol.16, issue.3, pp.275-297, 1999.
DOI : 10.1093/imamci/16.3.275

P. Rocha and J. C. Willems, Behavioral Controllability of Delay-Differential Systems, SIAM Journal on Control and Optimization, vol.35, issue.1, pp.254-264, 1997.
DOI : 10.1137/S0363012995283054

L. Rodino, Linear Partial Differential Operators in Gevrey Spaces, World Scientific, 1993.
DOI : 10.1142/1550

J. Rotman, An Introduction to Homological Algebra, 1979.
DOI : 10.1007/b98977

J. Rudolph, Beiträge zur flachheitsbasierten Folgeregelung linearer und nichtlinearer Systeme endlicher und unendlicher Dimension, Berichte aus der Steuerungs-und Regelungstechnik, 2003.

J. Rudolph, J. Winkler, and F. Woittennek, Flatness Based Control of Distributed Parameter Systems: Examples and Computer Exercises from Various Technological Domains, Berichte aus der Steuerungs-und Regelungstechnik, 2003.

J. Rudolph and F. Woittennek, Ein algebraischer Zugang zur Parameteridentifikation in linearen unendlichdimensionalen Systemen, Automatisierungstechnik, pp.55-457, 2007.

J. Rudolph and F. Woittennek, Motion planning and open loop control design for linear distributed parameter systems with lumped controls, International Journal of Control, vol.59, issue.3, pp.81-457, 2008.
DOI : 10.1051/cocv:2002070

A. Sasane and T. Cotroneo, Conditions for time-controllability of behaviours, International Journal of Control, vol.36, issue.1, pp.61-67, 2002.
DOI : 10.1109/9.557576

A. J. Sasane, E. G. Thomas, and J. C. Willems, Time-autonomy versus time-controllability, Systems & Control Letters, vol.45, issue.2, pp.145-153, 2002.
DOI : 10.1016/S0167-6911(01)00174-8
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.5038

P. Vettori and S. Zampieri, Controllability of Systems Described by Convolutional or Delay-Differential Equations, SIAM Journal on Control and Optimization, vol.39, issue.3, pp.728-756, 2000.
DOI : 10.1137/S0363012999359718

P. Vettori and S. Zampieri, Module theoretic approach to controllability of convolutional systems, Linear Algebra and its Applications, vol.351, issue.352, pp.739-759, 2002.
DOI : 10.1016/S0024-3795(02)00285-9

J. C. Willems, Paradigms and puzzles in the theory of dynamical systems, IEEE Transactions on Automatic Control, vol.36, issue.3, pp.259-294, 1991.
DOI : 10.1109/9.73561

F. Woittennek, Beiträge zum Steuerungsentwurf für lineare, ¨ ortlich verteilte Systeme mit konzentrierten Stelleingriffen, Berichte aus der Steuerungs-und Regelungstechnik, 2007.
DOI : 10.1524/auto.2007.55.9.497_2

F. Woittennek and J. Rudolph, Motion planning for a class of boundary controlled linear hyperbolic PDE's involving finite distributed delays, ESAIM: Control, Optimisation and Calculus of Variations, vol.9, pp.419-435, 2003.
DOI : 10.1051/cocv:2003020

J. Wood, Modules and behaviours in nd systems theory, Multidimens. Systems Signal Process, pp.11-48, 2000.

J. Wood, E. Rogers, and D. H. Owens, Characterizing controllable nD behaviours, Proceedings of the 36th IEEE Conference on Decision and Control, pp.4266-4267, 1997.
DOI : 10.1109/CDC.1997.649506

E. Zerz, Topics in Multidimensional Linear Systems Theory, Lecture Notes in Control and Inform. Sci, vol.256, 2000.

E. Zerz, Multidimensional behaviours: an algebraic approach to control theory for PDE, International Journal of Control, vol.13, issue.9, pp.812-820, 2004.
DOI : 10.1016/S0167-6911(03)00148-8