A. Bacciotti and F. Ceragioli, Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions, ESAIM: Control, Optimisation and Calculus of Variations, vol.4, pp.361-376, 1999.
DOI : 10.1051/cocv:1999113

P. Ballard, The Dynamics of Discrete Mechanical Systems with Perfect Unilateral Constraints, Archive for Rational Mechanics and Analysis, vol.154, issue.3, pp.199-274, 2000.
DOI : 10.1007/s002050000105
URL : https://hal.archives-ouvertes.fr/hal-00111308

S. Branicky, Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Transactions on Automatic Control, vol.43, issue.4, pp.475-482, 1998.
DOI : 10.1109/9.664150

S. Chareyron and P. B. Wieber, Stabilization and regulation of nonsmooth lagrangain systems, 2004.

S. Chareyron and P. B. Wieber, Position and force control of nonsmooth lagrangian dynamical systems without friction. International Workshop on Hybrid Systems : Computation and Control An invariance principle for nonlinear hybrid and impulsive dynamical systems, Nonlinear analysis, vol.53, pp.527-550, 2003.
URL : https://hal.archives-ouvertes.fr/inria-00390411

C. Glocker, On frictionless impact models in rigid-body systems, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.359, issue.1789, pp.2385-2404, 2001.
DOI : 10.1098/rsta.2001.0857

J. Hiriart-urruty and C. Lemaréchal, Convex Analysis and Minimization Algorithms, 1996.
DOI : 10.1007/978-3-662-02796-7

H. K. Khalil, Nonlinear systems, 1996.

J. Lygeros, K. H. Johansson, and S. N. Simic, Dynamical properties of hybrid automata, IEEE Transactions on Automatic Control, vol.48, issue.1, pp.2-17, 2003.
DOI : 10.1109/TAC.2002.806650

J. Moreau, Bounded variation in time In: Topics in Nonsmooth Mechanics, Birkhäuser, pp.1-74, 1988.

J. Moreau, Unilateral Contact and Dry Friction in Finite Freedom Dynamics, pp.1-82, 1988.
DOI : 10.1007/978-3-7091-2624-0_1

J. Moreau, An introduction to Unilateral Dynamics, Novel approaches in civil engineering, 2001.
DOI : 10.1007/978-3-540-45287-4_1

Y. Orlov, Extended invariance principle for nonautonomous switched systems, IEEE Transactions on Automatic Control, vol.48, issue.8, pp.1448-1452, 2003.
DOI : 10.1109/TAC.2003.815043

L. Paoli, Probl??mes de vibro-impact : ??tude de la d??pendance par rapport aux??donn??es, Comptes Rendus Mathematique, vol.339, issue.1, pp.27-32, 2004.
DOI : 10.1016/j.crma.2004.04.018

M. Schatzman, 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

H. Ye, A. Michel, and L. Hou, Stability theory for hybrid dynamical systems, IEEE Transactions on Automatic Control, vol.43, issue.4, pp.461-474, 1998.
DOI : 10.1109/9.664149

V. I. Zubov, Methods of A.M. Lyapunov and their application, 1964.