R. W. Brockett, Feedback invariants for nonlinear systems, IFAC Congress, vol.6, pp.1115-1120, 1979.

P. Brunovsky, A classification of linear controllable systems, Kybernetika, vol.3, issue.6, pp.173-188, 1970.

M. Cartan, Sur l'´ equivalence absolue de certains systèmes d'´ equations différentielles et sur certaines familles de courbes, Bulletin de la Société mathématique de France, pp.12-48, 1914.

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

M. Fliess, J. Levine, P. Martin, and P. Rouchon, Sur les systemes non linéaires différentiellement plats, C. R. Acad. Sci. Paris Sér. I Math, vol.315, issue.5, pp.619-624, 1992.

M. Fliess, J. Lévine, P. Martin, and P. Rouchon, Flatness and defect of non-linear systems: introductory theory and examples, International Journal of Control, vol.4, issue.6, pp.611327-1361, 1995.
DOI : 10.1109/9.73561

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

D. Hilbert, ???ber den begriff der klasse von differentialgleichungen, Mathematische Annalen, vol.73, issue.1, pp.95-108, 1912.
DOI : 10.1007/BF01456663

L. Hunt and R. Su, Linear equivalents of nonlinear time varying systems, Proc. MTNS, pp.119-123, 1981.

A. Isidori, C. H. Moog, and A. De-luca, A sufficient condition for full linearization via dynamic state feedback, 1986 25th IEEE Conference on Decision and Control, pp.203-208, 1986.
DOI : 10.1109/CDC.1986.267208

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

B. Jakubczyk and W. Respondek, On linearization of control systems, Bull. Acad. Polonaise Sci. Ser. Sci. Math, pp.517-522, 1980.

P. Martin, ContributionàContribution`Contributionà l'´ etude des systèmes différentiellement plats, 1992.

P. Martin, P. Rouchon, and R. Murray, Flat systems, equivalence and trajectory generation, CDS Technical Report, 2003.
URL : https://hal.archives-ouvertes.fr/cel-00392180

F. Nicolau and W. Respondek, Flatness of multi-input controlaffine systems linearizable via one-fold prolongation
URL : https://hal.archives-ouvertes.fr/hal-01401062

F. Nicolau and W. Respondek, Two-inputs control-affine systems linearizable via one-fold prolongation and their flatness

F. Nicolau and W. Respondek, Flatness of two-inputs controlaffine systems linearizable via one-fold prolongation, Proc. IFAC Nolcos, pp.499-504, 2013.

F. Nicolau and W. Respondek, Multi-input control-affine systems linearizable via one-fold prolongation and their flatness, 52nd IEEE Conference on Decision and Control
DOI : 10.1109/CDC.2013.6760379

F. Nicolau and W. Respondek, Normal forms for flat controlaffine systems linearizable via one-fold prolongation, Proc. ECC, pp.2448-2453, 2014.

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

J. B. Pomet22-]-j and . Pomet, A differential geometric setting for dynamic equivalence and dynamic linearization On dynamic feedback linearization of fourdimensional affine control systems with two inputs Symmetries and minimal flat outputs of nonlinear control systems, New Trends in Nonlinear Dynamics and Control and their Applications, volume LNCIS 295, pp.319-339151, 1995.

K. Schlacher and M. Schoeberl, CONSTRUCTION OF FLAT OUTPUTS BY REDUCTION AND ELIMINATION, Proc. Nolcos, pp.666-671, 2007.
DOI : 10.3182/20070822-3-ZA-2920.00114

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
DOI : 10.1137/S0363012995274027