V. Acary and B. Brogliato, Numerical Methods for Nonsmooth Dynamical Systems, Lecture Notes in Applied and Computational Mechanics, vol.35, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00423530

V. Acary and F. Pérignon, An introduction to SICONOS, INRIA SICONOS open-source software available at, 2007.

P. Ballard, Formulation and well-posedness of the dynamics of rigid-body systems with perfect unilateral constraints, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.359, issue.1789, pp.2327-2346, 2001.
DOI : 10.1098/rsta.2001.0854

J. Bourgeot and B. Brogliato, TRACKING CONTROL OF COMPLEMENTARITY LAGRANGIAN SYSTEMS, International Journal of Bifurcation and Chaos, vol.15, issue.06, pp.1839-1866, 2005.
DOI : 10.1142/S0218127405013010

URL : https://hal.archives-ouvertes.fr/inria-00070619

B. Brogliato, Nonsmooth Mechanics, 1999.
URL : https://hal.archives-ouvertes.fr/hal-01236953

B. Brogliato, R. Lozano, B. Maschke, and O. Egeland, Dissipative Systems Analysis and Control, Theory and Applications, 2007.
DOI : 10.1007/978-1-84628-517-2

URL : https://hal.archives-ouvertes.fr/hal-01338369

B. Brogliato, S. Niculescu, and P. Orhant, On the control of finite-dimensional mechanical systems with unilateral constraints, IEEE Transactions on Automatic Control, vol.42, issue.2, pp.200-215, 1997.
DOI : 10.1109/9.554400

R. Dzonou, M. Marques, and M. D. , A sweeping process approach to inelastic contact problems with general inertia operators, European Journal of Mechanics - A/Solids, vol.26, issue.3, pp.474-490, 2007.
DOI : 10.1016/j.euromechsol.2006.07.002

F. Facchinei and J. S. Pang, Finite-dimensional Variational Inequalities and Complementarity Problems, 2003.

S. Galeani, L. Menini, A. Potini, and A. Tornambè, Trajectory tracking for a particle in elliptical billiards, International Journal of Control, vol.24, issue.2, pp.189-213, 2008.
DOI : 10.1103/PhysRevE.64.026212

C. Glocker, Set Value Force Laws: Dynamics of Non-Smooth Systems Lecture Notes in Applied Mechanics, 2001.

C. Glocker, Concepts for modeling impacts without friction, Acta Mechanica, vol.168, issue.1-2, pp.1-19, 2004.
DOI : 10.1007/s00707-004-0076-3

R. I. Leine and N. Van-de-wouw, Stability properties of equilibrium sets of non-linear mechanical systems with dry friction and impact, Nonlinear Dynamics, vol.43, issue.4, pp.551-583, 2008.
DOI : 10.1007/s11071-007-9244-z

M. Mabrouk, A unified variational model for the dynamics of perfect unilateral constraints, European Journal of Mechanics - A/Solids, vol.17, issue.5, pp.819-842, 1998.
DOI : 10.1016/S0997-7538(98)80007-7

N. Mcclamroch and D. Wang, Feedback stabilization and tracking of constrained robots, IEEE Transactions on Automatic Control, vol.33, issue.5, pp.419-426, 1988.
DOI : 10.1109/9.1220

L. Menini and A. Tornambè, Asymptotic tracking of periodic trajectories for a simple mechanical system subject to nonsmooth impacts, IEEE Transactions on Automatic Control, vol.46, issue.7, pp.1122-1126, 2001.
DOI : 10.1109/9.935068

L. Menini and . Tornambè, Exponential and BIBS stabilisation of one degree of freedom mechanical systems subject to single non-smooth impacts, IEE Proceedings - Control Theory and Applications, vol.148, issue.2, pp.147-155, 2001.
DOI : 10.1049/ip-cta:20010366

L. Menini and . Tornambè, Dynamic position feedback stabilisation of multidegrees-of-freedom linear mechanical systems subject to nonsmooth impacts, IEE Proceedings - Control Theory and Applications, vol.148, issue.6, pp.488-496, 2001.
DOI : 10.1049/ip-cta:20010713

J. J. Moreau, Unilateral contact and dry friction in finite freedom dynamics, Nonsmooth Mechanics and Applications, CISM Courses and Lectures, vol.302, 1988.

N. Sadegh and R. Horowitz, Stability analysis of an adaptive controller for robotic manipulators, Proceedings. 1987 IEEE International Conference on Robotics and Automation, pp.1223-1229, 1987.
DOI : 10.1109/ROBOT.1987.1087747

J. J. Slotine and W. Li, Adaptive manipulator control: A case study, IEEE Transactions on Automatic Control, vol.33, issue.11, pp.995-1003, 1988.
DOI : 10.1109/9.14411

J. B. Hiriart-urruty and C. Lemaréchal, Fundamentals of Convex Analysis, Grundlehren Texts in Mathematics, 2001.
DOI : 10.1007/978-3-642-56468-0