J. Back, K. T. Yu, and J. H. Seo, Dynamic observer error linearization, Automatica, vol.42, issue.12, pp.2195-2200, 2006.
DOI : 10.1016/j.automatica.2006.07.009

G. Besançon, Nonlinear Observers and Applications. Lecture notes in control and information sciences, 2007.

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, Extended nonlinear observer normal forms for a class of nonlinear dynamical systems, International Journal of Robust and Nonlinear Control, vol.62, issue.1, pp.461-474, 2015.
DOI : 10.1002/rnc.3102

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

D. Boutat and K. Busawon, On the transformation of nonlinear dynamical systems into the extended nonlinear observable canonical form, International Journal of Control, vol.1, issue.1, pp.94-106, 2011.
DOI : 10.1137/0327011

URL : https://hal.archives-ouvertes.fr/hal-00642797

D. Boutat, G. Zheng, J. P. Barbot, and H. Hammouri, Observer Error Linearization Multi-Output Depending, Proceedings of the 45th IEEE Conference on Decision and Control, 2006.
DOI : 10.1109/CDC.2006.376918

R. Feng and J. Garrido, Actuarial Applications of Epidemiological Models, North American Actuarial Journal, vol.111, issue.3, 2008.
DOI : 10.1080/10920277.2011.10597612

M. Guay, Observer linearization by output-dependent time-scale transformations, IEEE Transactions on Automatic Control, vol.47, issue.10, pp.1730-1735, 2002.
DOI : 10.1109/TAC.2002.803547

H. N. Jo and H. J. Seo, Observer design for non-linear systems that are not uniformly observable, International Journal of Control, vol.75, issue.5, pp.369-380, 2002.
DOI : 10.1016/0167-6911(89)90030-3

P. Jouan, Immersion of Nonlinear Systems into Linear Systems Modulo Output Injection, SIAM Journal on Control and Optimization, vol.41, issue.6, pp.1756-1778, 2003.
DOI : 10.1137/S0363012901391706

W. Kang, J. Barbot, and L. Xu, On the observability of nonlinear and switched systems. Emergent Problems in Nonlinear Systems and Control, pp.199-216, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00533451

H. Keller, Non-linear observer design by transformation into a generalized observer canonical form, International Journal of Control, vol.34, issue.6, pp.1915-1930, 1987.
DOI : 10.1080/00207728408926614

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

A. Lynch and S. Bortoff, Nonlinear observers with approximately linear error dynamics: the multivariable case, IEEE Transactions on Automatic Control, vol.45, issue.6, pp.927-932, 2001.
DOI : 10.1109/9.928597

R. Marino and P. Tomei, Nonlinear control design: geometric, adaptive and robust, 1996.

H. Nijmeijer and A. Van-der-schaft, Nonlinear dynamical control systems, 1990.
DOI : 10.1007/978-1-4757-2101-0

D. Noh, N. Jo, and J. Seo, Nonlinear Observer Design by Dynamic Observer Error Linearization, IEEE Transactions on Automatic Control, vol.49, issue.10, pp.1746-1753, 2004.
DOI : 10.1109/TAC.2004.835397

A. Phelps, On Constructing Nonlinear Observers, SIAM Journal on Control and Optimization, vol.29, issue.3, pp.516-534, 1991.
DOI : 10.1137/0329030

G. Raggett, Modeling the eyam plague. The Institute of Mathematics and its Applications, Journal, vol.18, pp.221-226, 1982.

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

K. Robenack and A. Lynch, Observer design using a partial nonlinear observer canonical form, International Journal of Applied Mathematics and Computer Science, vol.16, issue.3, pp.333-343, 2006.

R. Tami, D. Boutat, and G. Zheng, Extended output depending normal form, Automatica, vol.49, issue.7, pp.2192-2198, 2013.
DOI : 10.1016/j.automatica.2013.03.025

URL : https://hal.archives-ouvertes.fr/hal-00817332

R. Tami, D. Boutat, and G. Zheng, Nonlinear observer for the PM synchronous motor, 2014 American Control Conference, p.2014, 2014.
DOI : 10.1109/ACC.2014.6859080

URL : https://hal.archives-ouvertes.fr/hal-01094915

R. Tami, D. Boutat, G. Zheng, and F. Kratz, Parameters and states estimation for Dengue epidemic model, 2014 European Control Conference (ECC), 2014.
DOI : 10.1109/ECC.2014.6862173

URL : https://hal.archives-ouvertes.fr/hal-01094912

H. Trinh, T. Fernando, and S. Nahavandi, Partial-State Observers for Nonlinear Systems, IEEE Transactions on Automatic Control, vol.51, issue.11, pp.1808-1812, 2006.
DOI : 10.1109/TAC.2006.884997

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

G. Zheng and D. Boutat, Synchronisation of chaotic systems via reduced observers, IET Control Theory & Applications, vol.5, issue.2, pp.308-314, 2011.
DOI : 10.1049/iet-cta.2010.0078

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, Output Dependent Observability Linear Normal Form, Proceedings of the 44th IEEE Conference on Decision and Control, 2005.
DOI : 10.1109/CDC.2005.1583293

G. Zheng, D. Boutat, and J. Barbot, Multi-output dependent observability normal form, Nonlinear Analysis: Theory, Methods & Applications, vol.70, issue.1, pp.404-418, 2009.
DOI : 10.1016/j.na.2007.12.012

URL : https://hal.archives-ouvertes.fr/inria-00192960