D. Angeli and E. D. Sontag, Forward completeness, unboundedness observability, and their Lyapunov characterizations, Systems & Control Letters, vol.38, issue.4-5, pp.209-217, 1999.
DOI : 10.1016/S0167-6911(99)00055-9

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.133.6585

A. Bacciotti and L. Rosier, Liapunov Functions and Stability in Control Theory, 2005.
DOI : 10.1007/b139028

URL : https://hal.archives-ouvertes.fr/hal-00139067

G. Bartolini, A. Pisano, E. Punta, and E. Usai, A survey of applications of second-order sliding mode control to mechanical systems, International Journal of Control, vol.76, issue.9-10, pp.875-892, 2003.
DOI : 10.1080/0020717031000099010

S. P. Bhat and D. S. Bernstein, Finite-Time Stability of Continuous Autonomous Systems, SIAM Journal on Control and Optimization, vol.38, issue.3, pp.751-766, 2000.
DOI : 10.1137/S0363012997321358

URL : http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.557.7422&rep=rep1&type=pdf

S. P. Bhat and D. S. Bernstein, Geometric homogeneity with applications to finite-time stability, Mathematics of Control, Signals, and Systems, vol.17, issue.2, pp.101-127, 2007.
DOI : 10.1007/s00498-005-0151-x

URL : https://deepblue.lib.umich.edu/bitstream/2027.42/45918/1/498_2005_Article_151.pdf

I. Boiko and L. Fridman, Analysis of chattering in continuous sliding-mode controllers, IEEE Transactions on Automatic Control, vol.50, issue.9, pp.1442-1446, 2005.
DOI : 10.1109/TAC.2005.854655

F. H. Clarke, Y. S. Ledayev, and R. J. Stern, Asymptotic Stability and Smooth Lyapunov Functions, Journal of Differential Equations, vol.149, issue.1, pp.69-114, 1998.
DOI : 10.1006/jdeq.1998.3476

URL : http://doi.org/10.1006/jdeq.1998.3476

M. Defoort, T. Floquet, A. Kokosy, and W. Perruquetti, A novel higher order sliding mode control scheme, Systems & Control Letters, vol.58, issue.2, pp.102-108, 2009.
DOI : 10.1016/j.sysconle.2008.09.004

URL : https://hal.archives-ouvertes.fr/hal-00519793

S. H. Ding, A. Levant, and S. H. Li, Simple homogeneous sliding-mode controller, Automatica, vol.67, issue.5, pp.22-32, 2016.
DOI : 10.1016/j.automatica.2016.01.017

F. Dinuzzo and A. Ferrara, Higher Order Sliding Mode Controllers With Optimal Reaching, IEEE Transactions on Automatic Control, vol.54, issue.9, pp.2126-2136, 2009.
DOI : 10.1109/TAC.2009.2026940

H. Du and S. Li, Finite-Time Attitude Stabilization for a Spacecraft Using Homogeneous Method, Journal of Guidance, Control, and Dynamics, vol.41, issue.4, pp.740-748, 2012.
DOI : 10.1016/j.automatica.2005.07.004

Y. Dvir and A. Levant, Accelerated Twisting Algorithm, IEEE Transactions on Automatic Control, vol.60, issue.10, pp.2803-2807, 2015.
DOI : 10.1109/TAC.2015.2398880

C. Edwards and S. K. Spurgeon, Sliding Mode Control: Theory And Applications, 1998.

D. Efimov, A. Levant, A. Polyakov, and W. Perruquetti, Supervisory acceleration of convergence for homogeneous systems, International Journal of Control, vol.1, 2016.
DOI : 10.1007/978-3-642-84379-2

URL : https://hal.archives-ouvertes.fr/hal-01411088

D. Efimov, A. Polyakov, A. Levant, and W. Perruquetti, Switched gain differentiator with fixed-time convergence, Proc. 20th IFAC World Congress, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01508765

A. F. Filippov, Differential equations with discontinuous right-hand side, 1988.
DOI : 10.1090/trans2/042/13

T. Floquet, J. P. Barbot, and W. Perruquetti, Higher-order sliding mode stabilization for a class of nonholonomic perturbed systems, Automatica, vol.39, issue.6, pp.1077-1083, 2003.
DOI : 10.1016/S0005-1098(03)00076-1

L. Fridman, Chattering analysis in sliding mode systems with inertial sensors, International Journal of Control, vol.76, issue.9-10, pp.906-912, 2003.
DOI : 10.1080/0020717031000099074

A. G. Gallardo-hernández, L. Fridman, A. Levant, Y. Shtessel, R. Leder et al., High-order sliding-mode control for blood glucose: Practical relative degree approach, Control Engineering Practice, vol.21, issue.5, pp.747-758, 2013.
DOI : 10.1016/j.conengprac.2012.11.015

Y. G. Hong, Finite-time stabilization and stabilizability of a class of controllable systems, Systems & Control Letters, vol.46, issue.4, pp.231-236, 2002.
DOI : 10.1016/S0167-6911(02)00119-6

X. Q. Huang, W. Lin, and B. Yang, Global finite-time stabilization of a class of uncertain nonlinear systems, Automatica, vol.41, issue.5, pp.881-888, 2005.
DOI : 10.1016/j.automatica.2004.11.036

A. Isidori, Nonlinear control systems I, 1995.

P. Kaveh and Y. B. Shtessel, Blood glucose regulation using higher-order sliding mode control, International Journal of Robust and Nonlinear Control, vol.50, issue.4-5, pp.557-569, 2008.
DOI : 10.1002/aic.690461220

M. Kawski, Homogeneous stabilizing feedback laws. Control Theory and Advanced Technology, pp.497-516, 1990.

A. Levant, Higher-order sliding modes, differentiation and output-feedback control, International Journal of Control, vol.76, issue.9-10, pp.924-941, 2003.
DOI : 10.1080/0020717031000099029

A. Levant, Homogeneity approach to high-order sliding mode design, Automatica, vol.41, issue.5, pp.823-830, 2005.
DOI : 10.1016/j.automatica.2004.11.029

A. Levant, Quasi-continuous high-order sliding-mode controllers, IEEE Transactions on Automatic Control, vol.50, issue.11, pp.1812-1816, 2005.
DOI : 10.1109/TAC.2005.858646

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.218.4061

A. Levant, Finite-time stabilization of uncertain SISO systems, 2007 46th IEEE Conference on Decision and Control, 2007.
DOI : 10.1109/CDC.2007.4434393

A. Levant, Chattering Analysis, IEEE Transactions on Automatic Control, vol.55, issue.6, pp.1380-1389, 2010.
DOI : 10.1109/TAC.2010.2041973

A. Levant, Practical Relative Degree Approach in Sliding-Mode Control, Lecture Notes in Control and Information Sciences, vol.440, pp.97-115, 2013.
DOI : 10.1007/978-3-642-36986-5_5

A. Levant, Finite-time stabilization of uncertain MIMO systems, 53rd IEEE Conference on Decision and Control, 2014.
DOI : 10.1109/CDC.2014.7040130

A. Levant, D. Efimov, A. Polyakov, and W. Perruquetti, Stability and robustness of homogeneous differential inclusions, 2016 IEEE 55th Conference on Decision and Control (CDC), 2016.
DOI : 10.1109/CDC.2016.7799394

URL : https://hal.archives-ouvertes.fr/hal-01371280

A. Levant and M. Livne, Uncertain disturbances??? attenuation by homogeneous multi-input multi-output sliding mode control and its discretisation, IET Control Theory & Applications, vol.9, issue.4, pp.515-525, 2015.
DOI : 10.1049/iet-cta.2014.0342

A. Levant and M. Livne, Weighted homogeneity and robustness of sliding mode control, Automatica, vol.72, issue.10, pp.72186-193, 2016.
DOI : 10.1016/j.automatica.2016.06.014

A. Levant, M. Livne, and X. Yu, Sliding-mode-based differentiation and its application, Proc. of the 20th IFAC World Congress, 2017.

A. Levant and Y. Pavlov, Generalized homogeneous quasi-continuous controllers, International Journal of Robust and Nonlinear Control, vol.32, issue.4-5, pp.385-398, 2008.
DOI : 10.1007/b139028

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.536.8686

W. Lin and C. Qian, Adding one power integrator: a tool for global stabilization of high-order lower-triangular systems, Systems & Control Letters, vol.39, issue.5, pp.339-351, 2000.
DOI : 10.1016/S0167-6911(99)00115-2

J. A. Moreno and M. Osorio, Strict Lyapunov Functions for the Super-Twisting Algorithm, IEEE Transactions on Automatic Control, vol.57, issue.4, pp.1035-1040, 2012.
DOI : 10.1109/TAC.2012.2186179

E. Moulay and W. Perruquetti, Finite-Time Stability and Stabilization: State of the Art, Lecture Notes in Control and Inf. Sciences, vol.334, pp.23-41, 2006.
DOI : 10.1007/11612735_2

Y. Orlov, Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems, SIAM Journal on Control and Optimization, vol.43, issue.4, pp.1253-1271, 2005.
DOI : 10.1137/S0363012903425593

F. Plestan, A. Glumineau, and S. Laghrouche, A new algorithm for high-order sliding mode control, International Journal of Robust and Nonlinear Control, vol.47, issue.4-5, pp.441-453, 2008.
DOI : 10.1007/978-1-84628-615-5

URL : https://hal.archives-ouvertes.fr/hal-00625769

A. Polyakov, Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems, IEEE Transactions on Automatic Control, vol.57, issue.8, pp.2106-2110, 2012.
DOI : 10.1109/TAC.2011.2179869

URL : https://hal.archives-ouvertes.fr/hal-00757561

A. Polyakov, D. Efimov, and W. Perruquetti, Finite-time and fixed-time stabilization: Implicit Lyapunov function approach, Automatica, vol.51, pp.332-340, 2015.
DOI : 10.1016/j.automatica.2014.10.082

URL : https://hal.archives-ouvertes.fr/hal-01098099

A. Polyakov, D. Efimov, and W. Perruquetti, Robust stabilization of MIMO systems in finite/fixed time, International Journal of Robust and Nonlinear Control, vol.42, issue.10, pp.69-90, 2016.
DOI : 10.1201/9781420065619

URL : https://hal.archives-ouvertes.fr/hal-01160052

R. Rajamani, Vehicle Dynamics and Control, 2005.
DOI : 10.1007/978-1-4614-1433-9

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

S. Yu, X. Yu, B. Shirinzadeh, and Z. Man, Continuous finite-time control for robotic manipulators with terminal sliding mode, Automatica, vol.41, issue.11, pp.411957-1964, 2005.
DOI : 10.1016/j.automatica.2005.07.001

D. Zhao, S. Li, Q. Zhu, and F. Gao, Robust finite-time control approach for robotic manipulators. IET control theory & applications, pp.1-15, 2010.