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

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

P. Ballard, The dynamics of discrete mechanical systems with perfect unilateral constraints Archive for Rational Mechanics and Analysis, pp.199-274, 2000.

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

H. Khalil, Nonlinear systems, 1996.

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

J. Bourgeot and B. Brogliato, TRACKING CONTROL OF COMPLEMENTARITY LAGRANGIAN SYSTEMS, International Journal of Bifurcation and Chaos, vol.15, issue.06, 2005.
DOI : 10.1142/S0218127405013010
URL : https://hal.archives-ouvertes.fr/inria-00070619

D. Wang and H. Mcclamroch, Position and force control for constrained manipulator motion: Lyapunov's direct method, IEEE Transactions on Robotics and Automation, vol.9, issue.3, pp.308-313, 1993.
DOI : 10.1109/70.240200

T. Yabuta, Nonlinear basic stability concept of the hybrid position/force control scheme for robot manipulators, IEEE Transactions on Robotics and Automation, vol.8, issue.5, pp.663-670, 1992.
DOI : 10.1109/70.163791

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

A. Tornambè, Modeling and control of impact in mechanical systems: theory and experimental results, IEEE Transactions on Automatic Control, vol.44, issue.2, pp.294-309, 1999.
DOI : 10.1109/9.746255

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

R. Lozano, B. Brogliato, O. Egeland, and B. Maschke, Dissipative Systems Analysis and Control, Theory and Applications, 2000.
DOI : 10.1007/978-1-4471-3668-2
URL : https://hal.archives-ouvertes.fr/hal-00821748

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