R. Abraham and J. E. Marsden, Foundation of mechanics, 1966.

J. Back, K. Yu, and J. Seo, Dynamic observer error linearization, Automatica, vol.42, issue.12, pp.2195-2200, 2005.
DOI : 10.1016/j.automatica.2006.07.009

D. Bestle and M. Zeitz, Canonical form observer design for non-linear time-variable systems, International Journal of Control, vol.27, issue.2, pp.419-431, 1983.
DOI : 10.1080/00207178308933084

D. Boutat, A. Benali, H. Hammouri, and K. Busawon, New algorithm for observer error linearization with a diffeomorphism on the outputs, Automatica, vol.45, issue.10, pp.2187-2193, 2009.
DOI : 10.1016/j.automatica.2009.05.030
URL : https://hal.archives-ouvertes.fr/hal-00433548

K. Busawon, M. Farza, and H. Hammouri, A simple observer for a class of nonlinear systems, Applied Mathematics Letters, vol.11, issue.3, pp.27-31, 1998.
DOI : 10.1016/S0893-9659(98)00029-9

M. Darouach, Existence and design of functional observers for linear systems, IEEE Transactions on Automatic Control, vol.45, issue.5, pp.940-943, 2000.
DOI : 10.1109/9.855556

M. Fliess, Analyse non standard du bruit Comptes Rendus de l'Académie des Sciences -Series I, pp.797-802, 2006.

M. Fliess and H. Sira-ramirez, Reconstructeurs d'´ etat. Comptes Rendus de l'Académie des Sciences -Series I, pp.91-96, 2004.

J. Gauthier, H. Hammouri, and S. Othman, A simple observer for nonlinear systems applications to bioreactors, IEEE Transactions on Automatic Control, vol.37, issue.6, pp.875-880, 1985.
DOI : 10.1109/9.256352

A. Glumineau, C. Moog, and F. Plestan, New algebraic-geometric conditions for the linearization by input-output injection, IEEE Transactions on Automatic Control, vol.41, issue.4, pp.598-603, 1996.
DOI : 10.1109/9.489283

H. Hammouri and J. Gautier, Bilinearization up to output injection, Systems & Control Letters, vol.11, issue.2, pp.139-149, 1988.
DOI : 10.1016/0167-6911(88)90088-6

D. Karagiannis, D. Carnevale, and A. Astolfi, Invariant Manifold Based Reduced-Order Observer Design for Nonlinear Systems, IEEE Transactions on Automatic Control, vol.53, issue.11, pp.2602-2614, 2008.
DOI : 10.1109/TAC.2008.2007045

A. Krener and A. Isidori, Linearization by output injection and nonlinear observers, Systems & Control Letters, vol.3, issue.1, pp.47-52, 1983.
DOI : 10.1016/0167-6911(83)90037-3

A. Krener and W. Respondek, Nonlinear Observers with Linearizable Error Dynamics, SIAM Journal on Control and Optimization, vol.23, issue.2, pp.197-216, 1985.
DOI : 10.1137/0323016

D. Luenberger, An introduction to observers, IEEE Transactions on Automatic Control, vol.16, issue.6, pp.596-602, 1971.
DOI : 10.1109/TAC.1971.1099826

R. Marino and P. Tomei, Nonlinear control design: geometric, adaptive and robust, 1995.

H. Nijmeijer and I. M. Mareels, An observer looks at synchronization. IEEE Transactions on Circuits and Systems-1: Fundamental theory and Applications, pp.882-891, 1997.

W. Respondek, A. Pogromsky, and H. Nijmeijer, Time scaling for observer design with linearizable error dynamics, Automatica, vol.40, issue.2, pp.277-285, 2004.
DOI : 10.1016/j.automatica.2003.09.012

X. Xia and W. Gao, Nonlinear Observer Design by Observer Error Linearization, SIAM Journal on Control and Optimization, vol.27, issue.1, pp.199-216, 1989.
DOI : 10.1137/0327011

M. Xu, Reduced-order observer design for one-sided Lipschitz non-linear systems, IMA Journal of Mathematical Control and Information, vol.26, issue.3, pp.299-317, 2009.
DOI : 10.1093/imamci/dnp017

G. Zheng, D. Boutat, and J. Barbot, Single Output-Dependent Observability Normal Form, SIAM Journal on Control and Optimization, vol.46, issue.6, pp.2242-2255, 2007.
DOI : 10.1137/050627137
URL : https://hal.archives-ouvertes.fr/inria-00179222

G. Zheng, D. Boutat, and J. Barbot, Multi-output dependent observability normal form Journal of Nonlinear Analysis Series A: Theory, Methods & Applications, vol.70, issue.1, pp.404-418, 2009.