O. Huber, V. Acary, and B. Brogliato, Lyapunov stability and performance analysis of the implicit discrete sliding mode control, IEEE Transactions on Automatic Control, vol.61, issue.10, pp.3016-3030, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01236159

V. I. Utkin, Sliding Modes in Control Optimization, 1992.

A. Levant, On fixed and finite time stability in sliding mode control, IEEE Conference on Decision and Control, pp.4260-4265, 2013.

V. Acary, B. Brogliato, and Y. Orlov, Chattering-free digital slidingmode control with state observer and disturbance rejection, IEEE Transactions on Automatic Control, vol.57, issue.5, pp.1087-1101, 2012.
URL : https://hal.archives-ouvertes.fr/inria-00494417

R. Kikuuwe, S. Yasukouchi, H. Fujimoto, and M. Yamamoto, Proxybased sliding mode control: A safer extension of pid position control, IEEE Transactions on Robotics, vol.26, issue.4, pp.670-683, 20110.

O. Huber, B. Brogliato, V. Acary, A. Boubakir, F. Plestan et al., Recent Trends in Sliding Mode Control. IET, London, 2016, ch. Experimental results on implicit and explicit time-discretization of equivalent control-based sliding mode control, pp.207-235

V. Zubov, On systems of ordinary differential equations with generalized homogenous right-hand sides, Izvestia vuzov. Mathematica (in Russian), vol.1, pp.80-88, 1958.

H. Hermes, Nilpotent approximations of control systems and distributions, SIAM Journal of Control and Optimization, vol.24, issue.4, p.731, 1986.

L. Rosier, Etude de quelquesprobì emes de stabilization, 1993.

A. Polyakov, D. Efimov, E. Fridman, and W. Perruquetti, On homogeneous distributed parameters equations, IEEE Transactions on Automatic Control, vol.61, issue.11, pp.3657-3662, 2016.

M. Kawski, Geometric homogeneity and stabilization, Proc. IFAC Nonlinear Control Symposium, pp.164-169, 1995.

L. Rosier, Homogeneous Lyapunov function for homogeneous continuous vector field, Systems & Control Letters, vol.19, pp.467-473, 1992.

W. Perruquetti, T. Floquet, and E. Moulay, Finite-time observers: application to secure communication, IEEE Transactions on Automatic Control, vol.53, issue.1, pp.356-360, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00176758

V. Andrieu, L. Praly, and A. Astolfi, Homogeneous Approximation, Recursive Observer Design, and Output Feedback, SIAM Journal of Control and Optimization, vol.47, issue.4, pp.1814-1850, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00362707

A. Polyakov, D. Efimov, and W. Perruquetti, Finite-time and fixedtime stabilization: Implicit Lyapunov function approach, Automatica, vol.51, issue.1, pp.332-340, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01098099

Y. Orlov, Finite time stability and robust control synthesis of uncertain switched systems, SIAM Journal of Control and Optimization, vol.43, issue.4, pp.1253-1271, 2005.

A. Levant, Homogeneity approach to high-order sliding mode design, Automatica, vol.41, issue.5, pp.823-830, 2005.

K. Zimenko, D. Efimov, A. Polyakov, and W. Perruquetti, A note on delay robustness for homogeneous systems with negative degree, Automatica, vol.79, issue.5, pp.178-184, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01419131

J. Pomet and C. Samson, Time-varying exponential stabilization of nonholonomic systems in power form, Inria, RR-2126, 1993.
URL : https://hal.archives-ouvertes.fr/inria-00074546

S. P. Bhat and D. S. Bernstein, Geometric homogeneity with applications to finite-time stability, Mathematics of Control, Signals and Systems, vol.17, pp.101-127, 2005.

A. Polyakov, Sliding mode control design using canonical homogeneous norm, International Journal of Robust and Nonlinear Control, vol.29, issue.3, pp.682-701, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01697797

A. Polyakov, D. Efimov, and B. Brogliato, Consistent discretization of finite-time and fixed-time stable systems, SIAM Journal of Control and Optimization, vol.57, issue.1, pp.78-103, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01838712

A. Polyakov, Quadratic-like stabilizability of homogeneous systems, Proc. Conference on Decision and Control, pp.577-582, 2017.

A. Polyakov, D. Efimov, and B. Brogliato, Consistent discretization of finite-time stable homogeneous systems, 15th International Workshop on Variable Structure Systems and Sliding Mode Control, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01794386

A. F. Filippov, Differential Equations with Discontinuous Right-hand Sides, 1988.

A. Polyakov and L. Fridman, Stability notions and Lyapunov functions for sliding mode control systems, Journal of The Franklin Institute, vol.351, issue.4, pp.1831-1865, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00942319

A. Polyakov, J. Coron, and L. Rosier, On homogeneous finitetime control for linear evolution equation in hilbert space, IEEE Transactions on Automatic Control, vol.63, issue.9, pp.3143-3150, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01695475

A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, 1983.

A. Polyakov, J. Coron, and L. Rosier, On finite-time stabilization of evolution equations: A homogeneous approach, Conference on Decision and Control, pp.3143-3148, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01371089

L. Grune, Homogeneous state feedback stabilization of homogeneous systems, SIAM Journal of Control and Optimization, vol.38, issue.4, pp.1288-1308, 2000.

D. Efimov and W. Perruquetti, Oscillations conditions in homogenous systems, Proc. IFAC NOLCOS Symp, pp.1379-1384, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00561003

A. Polyakov, D. Efimov, and W. Perruquetti, Robust stabilization of MIMO systems in finite/fixed time, International Journal of Robust and Nonlinear Control, vol.26, issue.1, pp.69-90, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01160052