Finite time stabilization of nonlinear oscillators subject to dry friction, in Progresses in Nonsmooth Mechanics and Analysis, Advances in Mathematics and Mechanics, pp.289-304, 2006. ,
A stability theory for second-order nonsmooth dynamical systems with application to friction problems, Journal de Mathématiques Pures et Appliquées, vol.83, issue.1, pp.17-51, 2004. ,
DOI : 10.1016/S0021-7824(03)00071-0
URL : https://hal.archives-ouvertes.fr/hal-00068291
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
Chattering-Free Digital Sliding-Mode Control With State Observer and Disturbance Rejection, IEEE Transactions on Automatic Control, vol.57, issue.5, pp.1087-1101, 2012. ,
DOI : 10.1109/TAC.2011.2174676
URL : https://hal.archives-ouvertes.fr/inria-00494417
Sliding modes in intersecting switching surfaces, I: Blending, Houston J. Math, vol.24, pp.545-569, 1998. ,
Sliding modes in intersecting switching surfaces, II: Hysteresis, Houston J. Math, vol.25, pp.185-211, 1999. ,
Control Theory of Nonlinear Mechanical Systems: A Passivity-Based and Circuittheoretic Approach, 1996. ,
Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions, ESAIM: Control, Optimisation and Calculus of Variations, vol.21, pp.361-376, 1999. ,
DOI : 10.1137/0321028
Modern Sliding Mode Control Theory New Perspectives and Applications, Lecture Notes in Control and Inform. Sciences, vol.375, 2008. ,
Convex Analysis and Optimization, Athena Scientific, 2003. ,
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
Opérateurs Maximaux Monotones et Semi-groupes de Contractions dans les Espaces de Hilbert, Math. Stud, vol.5, 1973. ,
Absolute stability and the Lagrange-Dirichlet theorem with monotone multivalued mappings, Systems and Control Letters, vol.51, issue.5, pp.343-353, 2004. ,
DOI : 10.1016/j.sysconle.2003.09.007
URL : https://hal.archives-ouvertes.fr/inria-00071792
The Krakovskii-LaSalle Invariance Principle for a Class of Unilateral Dynamical Systems, Mathematics of Control, Signals, and Systems, vol.17, issue.1, pp.57-76, 2005. ,
DOI : 10.1007/s00498-004-0145-0
Well-posedness, stability and invariance results for a class of multivalued Lur'e dynamical systems, Nonlinear Analysis: Theory, Methods and Applications, vol.74, issue.1, pp.195-212, 2011. ,
DOI : 10.1016/j.na.2010.08.034
URL : https://hal.archives-ouvertes.fr/inria-00442081
Stabilization of oscillators subject to dry friction: Finite time convergence versus exponential decay results, Transactions of the American Mathematical Society, vol.360, issue.01, pp.103-121, 2008. ,
DOI : 10.1090/S0002-9947-07-03990-6
Non-singular terminal sliding mode control of rigid manipulators, Automatica, vol.38, issue.12, pp.38-2159, 2002. ,
DOI : 10.1016/S0005-1098(02)00147-4
Differential Equations with Discontinuous Righthand Sides, 1988. ,
DOI : 10.1007/978-94-015-7793-9
Sliding Modes After the First Decade of the 21st Century. State of the Art, Lecture Notes in Control and Inform. Sci, vol.412, 2012. ,
Complex Discretization Behaviors of a Simple Sliding-Mode Control System, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.53, issue.8, pp.652-656, 2006. ,
DOI : 10.1109/TCSII.2006.875377
Analysis of Zero-Order Holder Discretization of Two-Dimensional Sliding-Mode Control Systems, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.55, issue.12, pp.1269-1273, 2008. ,
DOI : 10.1109/TCSII.2008.2008069
On the stability of stationary solutions of first-order evolution variational inequalities, Adv. Nonlinear Var. Inequal, vol.6, pp.1-30, 2003. ,
Finite-time control for robot manipulators, Systems & Control Letters, vol.46, issue.4, pp.243-253, 2002. ,
DOI : 10.1016/S0167-6911(02)00130-5
Piecewise Linear Control Systems, Lecture Notes in Comput. and Inform. Sci, vol.284, 2003. ,
DOI : 10.1007/3-540-36801-9
Stability and Convergence of Mechanical Systems with Unilateral Constraints, 2008. ,
DOI : 10.1007/978-3-540-76975-0
Relaxation of Hypotheses in LaSalle???Krasovskii-Type Invariance Results, SIAM Journal on Control and Optimization, vol.49, issue.4, pp.1383-1403, 2011. ,
DOI : 10.1137/090749712
Finite time stability and stabilization of a class of continuous systems, Journal of Mathematical Analysis and Applications, vol.323, issue.2, pp.1430-1443, 2006. ,
DOI : 10.1016/j.jmaa.2005.11.046
Finite time stability of differential inclusions, IMA Journal of Mathematical Control and Information, vol.22, issue.4, pp.465-475, 2005. ,
DOI : 10.1093/imamci/dni039
Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems, SIAM Journal on Control and Optimization, vol.43, issue.4, pp.1253-1271, 2004. ,
DOI : 10.1137/S0363012903425593
Mouvement à nombre fini de degrés de liberté avec contraintes unilatérales. Cas avec perte d'énergie, Modélisation Mathématique et Analyse Numérique, pp.673-717, 1993. ,
DOI : 10.1051/m2an/1993270606731
URL : http://www.esaim-m2an.org/articles/m2an/pdf/1993/06/m2an1993270606731.pdf
Convex Functions, Monotone Operators and Differentiability, Lecture Notes in Math, vol.1364, 1993. ,
DOI : 10.1007/978-3-662-21569-2
Convex Analysis, Princeton Landmarks Math, 1970. ,
DOI : 10.1515/9781400873173
An Integral Invariance Principle for Differential Inclusions with Applications in Adaptive Control, SIAM Journal on Control and Optimization, vol.36, issue.3, pp.960-980, 1998. ,
DOI : 10.1137/S0363012996301701
A class of nonlinear differential equations of second order in time, Nonlinear Analysis: Theory, Methods & Applications, vol.2, issue.3, pp.355-373, 1978. ,
DOI : 10.1016/0362-546X(78)90022-6
URL : https://hal.archives-ouvertes.fr/hal-01294058
The Robust Control of Robot Manipulators, The International Journal of Robotics Research, vol.104, issue.2, pp.49-64, 1985. ,
DOI : 10.1115/1.3139699
Fundamentals of Convex Analysis, 2001. ,
Variable structure systems with sliding modes, IEEE Transactions on Automatic Control, vol.22, issue.2, pp.212-222, 1977. ,
DOI : 10.1109/TAC.1977.1101446
Sliding Modes in Control Optimization, 1992. ,
DOI : 10.1007/978-3-642-84379-2
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
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
Continuous finite-time control for robotic manipulators with terminal sliding mode, Automatica, vol.41, issue.11, pp.41-1957, 2005. ,
DOI : 10.1016/j.automatica.2005.07.001