F. Antritter and J. Lévine, Towards a computer algebraic algorithm for flat output determination, Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, ISSAC '08, 2008.
DOI : 10.1145/1390768.1390773

URL : https://hal.archives-ouvertes.fr/hal-00575672

E. Aranda-bricaire, C. Moog, and J. Pomet, A linear algebraic framework for dynamic feedback linearization, IEEE Transactions on Automatic Control, vol.40, issue.1, pp.127-132, 1995.
DOI : 10.1109/9.362886

B. Charlet, J. Lévine, and R. Marino, Sufficient Conditions for Dynamic State Feedback Linearization, SIAM Journal on Control and Optimization, vol.29, issue.1, pp.38-57, 1991.
DOI : 10.1137/0329002

V. Chetverikov, New flatness conditions for control systems, Proceedings of NOLCOS'01, pp.168-173, 2001.

V. Chetverikov, Flatness conditions for control systems, Preprint DIPS, 2002.

P. Cohn, Free Rings and Their Relations, 1985.

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, P. Martin, F. Ollivier, and P. Rouchon, Controlling Nonlinear Systems by Flatness, Systems and Control in the Twenty-First Century, pp.137-154, 1997.
DOI : 10.1007/978-1-4612-4120-1_7

M. Fliess, J. Lévine, P. Martin, and P. Rouchon, Sur les systèmes non linéaires différentiellement plats, C.R. Acad. Sci. Paris, I?, vol.315, pp.619-624, 1992.

M. Fliess, J. Lévine, P. Martin, and P. Rouchon, Flatness and defect of nonlinear systems: introductory theory and examples, Int. J. Control, issue.6, pp.611327-1361, 1995.

M. Fliess, J. Lévine, P. Martin, and P. Rouchon, A Lie-Backlund approach to equivalence and flatness of nonlinear systems, IEEE Transactions on Automatic Control, vol.44, issue.5, pp.922-937, 1999.
DOI : 10.1109/9.763209

J. Franch, Flatness, Tangent Systems and Flat Outputs, 1999.

B. Jakubczyk, Invariants of dynamic feedback and free systems, Proc. ECC'93, pp.1510-1513, 1993.

I. S. Krasil-'shchik, V. V. Lychagin, and A. M. Vinogradov, Geometry of Jet Spaces and Nonlinear Partial Differential Equations, 1986.

J. Lévine, On necessary and sufficient conditions for differential flatness, Proc. of IFAC NOLCOS 2004 Conference, 2004.
DOI : 10.1007/s00200-010-0137-x

J. Lévine, On necessary and sufficient conditions for differential flatness. arXiv:math.OC/0605405, 2006.

J. Lévine, Analysis and Control of Nonlinear Systems: A Flatnessbased Approach, Mathematical Engineering Series, 2009.
DOI : 10.1007/978-3-642-00839-9

P. Martin, ContributionàContribution`Contributionà l' ´ Etude des Systèmes Différentiellement Plats, 1992.

P. Martin, R. Murray, and P. Rouchon, Flat systems, Plenary Lectures and Minicourses, Proc. ECC 97, pp.211-264, 1997.
URL : https://hal.archives-ouvertes.fr/hal-00472051

P. Pereira, C. C. Silva, and . Filho, Relative flatness and flatness of implicit systems, SIAM J. Control and Optimization, vol.39, issue.6, pp.1929-1951, 2001.

J. Pomet, A differential geometric setting for dynamic equivalence and dynamic linearization, Geometry in Nonlinear Control and Differential Inclusions, pp.319-339, 1993.
URL : https://hal.archives-ouvertes.fr/inria-00074361

M. Rathinam and R. Murray, Configuration Flatness of Lagrangian Systems Underactuated by One Control, SIAM Journal on Control and Optimization, vol.36, issue.1, pp.164-179, 1998.
DOI : 10.1137/S0363012996300987

P. Rouchon, Necessary condition and genericity of dynamic feedback linearization, J. Math. Systems Estim. & Control, vol.4, issue.2, pp.257-260, 1994.

J. Rudolph, Flatness Based Control of Distributed Parameter Systems, 2003.

J. Rudolph, J. Winkler, and F. Woittenek, Flatness Based Control of Distributed Parameter Systems: Examples and Computer Exercises from Various Technological Domains, 2003.

K. Schlacher and M. Schöberl, CONSTRUCTION OF FLAT OUTPUTS BY REDUCTION AND ELIMINATION, Proc. 7th IFAC Symposium on Nonlinear Control Systems, pp.666-671, 2007.
DOI : 10.3182/20070822-3-ZA-2920.00114

K. Schlacher and M. Schöberl, CONSTRUCTION OF FLAT OUTPUTS BY REDUCTION AND ELIMINATION, Advances in the Theory of Control, Signals and Systems, with Physical Modeling, 2010.
DOI : 10.3182/20070822-3-ZA-2920.00114

W. Shadwick, Absolute equivalence and dynamic feedback linearization, Systems & Control Letters, vol.15, issue.1, pp.35-39, 1990.
DOI : 10.1016/0167-6911(90)90041-R

H. Sira-ramirez and S. Agrawal, Differentially Flat Systems, 2004.

W. Sluis, A necessary condition for dynamic feedback linearization, Systems & Control Letters, vol.21, issue.4, pp.277-283, 1993.
DOI : 10.1016/0167-6911(93)90069-I

M. Van-nieuwstadt, M. Rathinam, and R. Murray, Differential Flatness and Absolute Equivalence of Nonlinear Control Systems, SIAM Journal on Control and Optimization, vol.36, issue.4, pp.1225-1239, 1998.
DOI : 10.1137/S0363012995274027

V. Zharinov, Geometrical Aspect of Partial Differential Equations, World Scientific, 1992.