V. Acary and B. Brogliato, Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems, Systems & Control Letters, vol.59, issue.5, pp.284-293, 2010.
DOI : 10.1016/j.sysconle.2010.03.002

URL : https://hal.archives-ouvertes.fr/inria-00423576

A. Adhami-mirhosseini and M. J. Yazdanpanah, Robust Tracking of Perturbed Nonlinear Systems by Nested Sliding Mode Control, 2005 International Conference on Control and Automation, pp.44-48, 2005.
DOI : 10.1109/ICCA.2005.1528089

J. Aubin and A. Cellina, Differential Inclusions: Set-Valued Maps and Viability Theory. Grundlehren der mathematischen Wissenschaften, 1984.

A. Bacciotti and F. Ceragioli, Stability and stabilization of discontinuous systems and nonsmooth Lyapunov functions. ESAIM: Control, Optimisation and Calculus of Variations, pp.361-376, 1999.

J. V. Burke, M. C. Ferris, and M. Qian, On the Clarke subdifferential of the distance function of a closed set, Journal of Mathematical Analysis and Applications, vol.166, issue.1, pp.199-213, 1992.
DOI : 10.1016/0022-247X(92)90336-C

F. Clarke, Y. Ledyaev, R. Stern, and P. Wolenski, Nonsmooth Analysis and Control Theory, 1998.
DOI : 10.1007/978-1-4614-1806-1_69

URL : https://hal.archives-ouvertes.fr/hal-00863298

F. H. Clarke, Optimization and Nonsmooth Analysis, Classics in Applied Mathematics. SIAM, 1990.
DOI : 10.1137/1.9781611971309

J. B. Hiriart-urruty and C. Lemaréchal, Convex Analysis and Minimization Algorithms I, 1993.
DOI : 10.1007/978-3-662-02796-7

O. Huber, V. Acary, and B. Brogliato, Lyapunov stability and performance analysis of the implicit discrete sliding mode control. Automatic Control, IEEE Transactions on, issue.10, pp.61-3016, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01236159

O. Huber, B. Brogliato, V. Acary, A. Boubakir, F. Plestan et al., Experimental results on implicit and explicit time-discretization of equivalent control-based sliding mode control, Recent Trends in Sliding Mode Control, pp.207-236, 2016.
DOI : 10.1049/PBCE102E_ch3.2

URL : https://hal.archives-ouvertes.fr/hal-01238120

A. Levant, Introduction to high-order sliding modes, School of Mathematical Sciences, 2003.
DOI : 10.1109/tac.2007.900830

URL : http://www.math.tau.ac.il/%7Elevant/intsm_proofs.pdf

F. A. Miranda-villatoro, B. Brogliato, C. , and F. , Set-valued sliding-mode control of uncertain linear systems: continuous and discrete-time analysis, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01317948

F. A. Miranda-villatoro, B. Brogliato, C. , and F. , Multivalued robust tracking control of fully actuated Lagrange systems: Continuous and discretetime algorithms, Automatic Control IEEE Transaction on, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01254303

S. Sastry, Nonlinear Systems: Analysis, Stability, and Control, 1999.
DOI : 10.1007/978-1-4757-3108-8

J. J. Slotine and S. S. Sastry, Tracking control of non-linear systems using sliding surfaces, with application to robot manipulators???, International Journal of Control, vol.22, issue.2, pp.465-492, 1983.
DOI : 10.1109/TAC.1977.1101661

G. Smirnov, Introduction to the Theory of Differential Inclusions, Graduate Studies in Mathematics, vol.41, 2002.
DOI : 10.1090/gsm/041

V. Utkin, J. Guldner, and J. Shi, Sliding mode control on electro-mechanical systems, Mathematical Problems in Engineering, vol.8, issue.4-5, 2009.
DOI : 10.1080/10241230306724

URL : http://doi.org/10.1080/10241230306724

S. T. Venkataraman and S. Gulati, Control of Nonlinear Systems Using Terminal Sliding Modes, Journal of Dynamic Systems, Measurement, and Control, vol.115, issue.3, pp.554-560, 1993.
DOI : 10.1115/1.2899138

K. D. Young, V. I. Utkin, and U. Ozguner, A control engineer's guide to sliding mode control, IEEE Transactions on Control Systems Technology, vol.7, issue.3, pp.328-342, 1999.
DOI : 10.1109/87.761053

M. Zhihong, A. P. Paplinski, and H. R. Wu, A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators, IEEE Transactions on Automatic Control, vol.39, issue.12, pp.39-2464, 1994.
DOI : 10.1109/9.362847