F. J. Bejarano, T. Floquet, W. Perruquetti, and G. Zheng, Observability and detectability analysis of singular linear systems with unknown inputs, IEEE Conference on Decision and Control and European Control Conference, pp.4005-4010, 2011.
DOI : 10.1109/CDC.2011.6161325

URL : https://hal.archives-ouvertes.fr/inria-00626982

F. J. Bejarano, T. Floquet, W. Perruquetti, and G. Zheng, Observability and detectability of singular linear systems with unknown inputs, Automatica, vol.49, issue.3, pp.793-800, 2013.
DOI : 10.1016/j.automatica.2012.11.043

URL : https://hal.archives-ouvertes.fr/hal-00753706

F. J. Bejarano, W. Perruquetti, T. Floquet, and G. Zheng, State reconstruction of nonlinear differential-algebraic systems with unknown inputs, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), pp.5882-5887, 2012.
DOI : 10.1109/CDC.2012.6426832

URL : https://hal.archives-ouvertes.fr/hal-00731718

F. J. Bejarano, W. Perruquetti, T. Floquet, and G. Zheng, Observation of Nonlinear Differential-Algebraic Systems With Unknown Inputs, IEEE Transactions on Automatic Control, vol.60, issue.7, pp.1957-1962, 2015.
DOI : 10.1109/TAC.2014.2363604

URL : https://hal.archives-ouvertes.fr/hal-01075275

D. Boutat, G. Zheng, L. Boutat-baddas, and M. Darouach, Observers design for a class of nonlinear singular systems, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012.
DOI : 10.1109/CDC.2012.6426448

URL : https://hal.archives-ouvertes.fr/hal-00753125

M. Boutayeb and M. Darouach, Observers design for non linear descriptor systems, Proc. IEEE Conf. Decision Control, 1995.

S. Campbell, Singular systems of differential equations I, 1980.

S. Campbell, Singular systems of differential equations II, 1982.

L. Dai, Singular Control Systems, Lecture Notes in Control and Information Sciences, vol.118, 1989.
DOI : 10.1007/BFb0002475

M. Darouach and L. Boutat-baddas, Observers for a Class of Nonlinear Singular Systems, IEEE Transactions on Automatic Control, vol.53, issue.11, pp.2627-2633, 2008.
DOI : 10.1109/TAC.2008.2007868

URL : https://hal.archives-ouvertes.fr/hal-00343977

M. Darouach and M. Boutayeb, Design of observers for descriptor systems, IEEE Transactions on Automatic Control, vol.40, issue.7, pp.1323-1327, 1995.
DOI : 10.1109/9.400467

URL : https://hal.archives-ouvertes.fr/hal-00922599

Z. Gao and D. W. Ho, Proportional multiple-integral observer design for descriptor systems with measurement output disturbances, IEE Proceedings - Control Theory and Applications, vol.151, issue.3, pp.279-288, 2004.
DOI : 10.1049/ip-cta:20040437

Z. Gao and D. W. Ho, State/noise estimator for descriptor systems with application to sensor fault diagnosis, IEEE Transactions on Signal Processing, vol.54, issue.4, pp.1316-1326, 2006.

M. Hou and P. Muller, Causal observability of descriptor systems, IEEE Transactions on Automatic Control, vol.44, issue.1, pp.158-163, 1999.
DOI : 10.1109/9.739111

M. Hou and P. Muller, Observer design for descriptor systems, IEEE Transactions on Automatic Control, vol.44, issue.1, pp.164-169, 1999.
DOI : 10.1109/9.739112

A. Isidori, Nonlinear Control Systems, 1995.

S. Kaprielian and J. Turi, An observer for a nonlinear descriptor system, [1992] Proceedings of the 31st IEEE Conference on Decision and Control, 1992.
DOI : 10.1109/CDC.1992.371580

D. Koenig, Unknown input proportional multiple-integral observer design for linear descriptor systems: application to state and fault estimation, IEEE Transactions on Automatic Control, vol.50, issue.2, pp.212-217, 2005.
DOI : 10.1109/TAC.2004.841889

URL : https://hal.archives-ouvertes.fr/hal-00152225

D. Koenig, Observer Design for Unknown Input Nonlinear Descriptor Systems via Convex Optimization, IEEE Transactions on Automatic Control, vol.51, issue.6, pp.1047-1052, 2006.
DOI : 10.1109/TAC.2006.876807

URL : https://hal.archives-ouvertes.fr/hal-00152118

D. Koenig and S. Mammar, Design of proportional-integral observer for unknown input descriptor systems, IEEE Transactions on Automatic Control, vol.47, issue.12, pp.2057-2062, 2002.
DOI : 10.1109/TAC.2002.805675

URL : https://hal.archives-ouvertes.fr/hal-00153817

G. Lu and D. Ho, Full-order and reduced-order observer for lipschitz descriptor systems: The unified lmi approach, IEEE.Trans on Circuits and systems-II: Express Briefs, vol.53, pp.563-567, 2006.

G. Lu, D. W. Ho, Y. Zheng, and Y. Zheng, Observers for a class of descriptor systems with lipschitz constraint, Proceedings of the 2004 American Control Conference, 2004.

R. H. Moore, Analysis of Numerical Methods (Eugene Isaacson and Herbert Bishop Keller), SIAM Review, vol.11, issue.1, pp.100-101, 1969.
DOI : 10.1137/1011025

P. Paraskevopoulos and F. Koumboulis, Observers for singular systems, IEEE Transactions on Automatic Control, vol.37, issue.8, pp.1211-1215, 1992.
DOI : 10.1109/9.151109

D. N. Shields, Observer design and detection for nonlinear descriptor systems, International Journal of Control, vol.67, issue.2, pp.153-168, 1997.
DOI : 10.1080/002071797224234

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, G. Zheng, D. Boutat, D. Aubry, and H. Wang, Partial observer normal form for nonlinear system, Automatica, vol.64, pp.54-62, 2016.
DOI : 10.1016/j.automatica.2015.10.041

URL : https://hal.archives-ouvertes.fr/hal-01239583

X. Xiao 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

E. Yip and R. Sincovec, Solvability, controllability, and observability of continuous descriptor systems, IEEE Transactions on Automatic Control, vol.26, issue.3, pp.702-707, 1981.
DOI : 10.1109/TAC.1981.1102699

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, 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