A. D. Ames, H. Zheng, R. D. Gregg, and S. Sastry, Is there life after Zeno? Taking executions past the breaking (Zeno) point, 2006 American Control Conference, pp.6-14, 2006.
DOI : 10.1109/ACC.2006.1656623

J. P. Aubin and A. Cellina, Differential inclusions, set-valued maps and viability theory, Grundl. der Math. Wiss, vol.264, 1984.

G. Besançon, Q. Zhang, and H. Hammouri, High-gain observer based state and parameter estimation in nonlinear systems, 6th IFAC symposium on Nonlinear Control Systems, 2004.

M. Cichon, I. Kubiaczyk, and A. Sikorska, The Henstock-Kurzweil-Pettis Integrals and Existence Theorems for the Cauchy Problem, Czechoslovak Mathematical Journal, vol.54, issue.2, pp.279-289, 2004.
DOI : 10.1023/B:CMAJ.0000042368.51882.ab

J. Cortes, Discontinuous dynamical systems, IEEE Control Systems Magazine, vol.28, issue.3, pp.36-73, 2008.
DOI : 10.1109/MCS.2008.919306

B. Drazenovic, The invariance conditions in variable structure systems, Automatica, vol.5, issue.3, pp.287-295, 1969.
DOI : 10.1016/0005-1098(69)90071-5

S. V. Emelyanov and S. K. Korovin, Applying the principle of control by deviation to extend the set of possible feedback types, Soviet Physics, Doklady, issue.6, pp.26562-564, 1981.

A. F. Filippov, Classical Solutions of Differential Equations with Multi-Valued Right-Hand Side, SIAM Journal on Control, vol.5, issue.4, pp.609-621, 1967.
DOI : 10.1137/0305040

A. F. Filippov, Differential Equations with Discontinuous Righthand sides, 1988.
DOI : 10.1007/978-94-015-7793-9

T. Floquet and J. P. Barbot, Super twisting algorithm-based step-by-step sliding mode observers for nonlinear systems with unknown inputs, International Journal of Systems Science, vol.32, issue.10, pp.803-815, 2007.
DOI : 10.1109/9.975511
URL : https://hal.archives-ouvertes.fr/inria-00128137

R. Goebel, R. G. Sanfelice, and A. R. Teel, Hybrid dynamical systems, IEEE Control Systems, vol.29, issue.2, pp.28-93, 2009.
DOI : 10.1109/MCS.2008.931718

R. Henstock, The General Theory of Integration, Oxford Mathematical Monographs, 1991.

R. Hermann and A. J. Krener, Nonlinear controllability and observability, IEEE Transactions on Automatic Control, vol.22, issue.5, pp.728-740, 1977.
DOI : 10.1109/TAC.1977.1101601

A. Isidori, Nonlinear Control Systems Communication and Control Engineering Series, 1995.

A. J. 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. Levant, Sliding order and sliding accuracy in sliding mode control, International Journal of Control, vol.51, issue.6, pp.1253-1253, 1993.
DOI : 10.1109/TAC.1977.1101661

M. Mboup, C. Join, and M. Fliess, A revised look at numerical differentiation with an application to nonlinear feedback control, 2007 Mediterranean Conference on Control & Automation, 2007.
DOI : 10.1109/MED.2007.4433728
URL : https://hal.archives-ouvertes.fr/inria-00142588

W. Perruquetti and J. P. Barbot, Sliding Mode Control in Engineering, 2002.
DOI : 10.1201/9780203910856

V. Utkin, Sliding Modes in Optimization and Control, 1992.
DOI : 10.1007/978-3-642-84379-2

L. Yu, J. P. Barbot, D. Boutat, and D. Benmerzouk, Observability normal forms for a class of switched systems wih zeno phenomena, IEEE ACC, 2009.

J. Zhang, K. H. Johansson, J. Lygeros, and S. Sastry, Zeno hybrid systems, International Journal of Robust and Nonlinear Control, vol.35, issue.5, pp.435-451, 2001.
DOI : 10.1002/rnc.592