J. Adamy and A. Flemming, Soft variable-structure controls: a survey, Automatica, vol.40, issue.11, pp.1821-1844, 2004.
DOI : 10.1016/j.automatica.2004.05.017

A. Bacciotti and L. Rosier, Lyapunov Functions and Stability in Control Theory, 2005.

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

B. Biemond, N. Van-de-wouw, and H. Nijmeijer, Bifurcations of equilibrium sets in mechanical systems with dry friction, Physica D: Nonlinear Phenomena, vol.241, issue.22, pp.1882-1894, 2012.
DOI : 10.1016/j.physd.2011.05.006

J. Cortes, Finite-time convergent gradient flows with applications to network consensus, Automatica, vol.42, issue.11, 1993.
DOI : 10.1016/j.automatica.2006.06.015

R. Courant and F. John, Introduction to calculus and analysis (, 2000.

B. K. Driver, Analysis Tools with Applications, 2003.

D. Efimov, A. Polyakov, E. Fridman, W. Perruquetti, and J. Richard, Comments on finite-time stability of time-delay systems, Automatica, vol.50, issue.7, p.2014
DOI : 10.1016/j.automatica.2014.05.010

URL : https://hal.archives-ouvertes.fr/hal-00986004

E. Fridman, Descriptor Discretized Lyapunov Functional Method: Analysis and Design, IEEE Transactions on Automatic Control, vol.51, issue.5, pp.890-897, 2006.
DOI : 10.1109/TAC.2006.872828

K. Gu, V. Kharitonov, and J. Chen, Stability of Time- Delay Systems, 2003.
DOI : 10.1007/978-1-4612-0039-0

URL : https://hal.archives-ouvertes.fr/hal-00664367

V. T. Haimo, Finite Time Controllers, SIAM Journal on Control and Optimization, vol.24, issue.4, pp.760-770, 1986.
DOI : 10.1137/0324047

J. Hale, Theory of Functional Differential Equations, 1977.
DOI : 10.1007/978-1-4612-9892-2

Y. 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

K. Jittorntrum, An implicit function theorem, Journal of Optimization Theory and Applications, vol.25, issue.4, pp.575-577, 1978.
DOI : 10.1007/BF00933522

V. L. Kharitonov, Robust stability analysis of time delay systems: A survey, Annual Reviews in Control, vol.23, pp.185-196, 1999.
DOI : 10.1016/S1367-5788(99)90087-1

V. I. Korobov, Solution of a synthesis problem using a controllability function, Doklady Academii Nauk SSSR, vol.248, pp.1051-1055, 1979.

M. Krstic, Delay Compensation for Nonlinear, Adaptive, and PDE Systems, 2009.
DOI : 10.1007/978-0-8176-4877-0

J. Macdonnell, Some critical points on the hyperpower function n x = x x x, International Journal of Mathematical Eduction, vol.20, issue.2, pp.297-305, 1989.

E. Moulay, M. Dambrine, N. Yeganefar, and W. Perruquetti, Finite-time stability and stabilization of time-delay systems, Systems & Control Letters, vol.57, issue.7, pp.561-566, 2008.
DOI : 10.1016/j.sysconle.2007.12.002

URL : https://hal.archives-ouvertes.fr/inria-00344524

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

Y. Orlov, Discontinous systems: Lyapunov analysis and robust synthesis under uncertainty conditions, 2009.

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 Stabilization Using Implicit Lyapunov Function Technique, 9th Symposium on Nonlinear Control Systems, pp.140-145, 2013.
DOI : 10.3182/20130904-3-FR-2041.00043

URL : https://hal.archives-ouvertes.fr/hal-00844386

A. Polyakov, D. Efimov, W. Perruquetti, and J. Richard, Implicit Lyapunov-Krasovski Functionals for time delay systems, 53rd IEEE Conference on Decision and Control, 2014.
DOI : 10.1109/CDC.2014.7039543

URL : https://hal.archives-ouvertes.fr/hal-01071227

J. Richard, Time-delay systems: an overview of some recent advances and open problems, Automatica, vol.39, issue.10, pp.1667-1694, 2003.
DOI : 10.1016/S0005-1098(03)00167-5

E. Roxin, On finite stability in control systems, Rendiconti del Circolo Matematico di Palermo, vol.XV, issue.3, pp.273-283, 1966.
DOI : 10.1007/BF02844106