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

M. Arcak and P. Kokotoví, Observer-based control of systems with slope-restricted nonlinearities, IEEE Transactions on Automatic Control, vol.46, issue.7, pp.1146-1150, 2001.
DOI : 10.1109/9.935073

J. P. Aubin and H. Frankoswska, Observability of Systems under Uncertainty, SIAM Journal on Control and Optimization, vol.27, issue.5, pp.949-975, 1989.
DOI : 10.1137/0327051

H. Brezis, Operateurs Maximaux Monotones. Amsterdam, The Netherlands: North-Holland, 1973.

B. Brogliato, Some perspectives on the analysis and control of complementarity systems, IEEE Transactions on Automatic Control, vol.48, issue.6, pp.918-935, 2003.
DOI : 10.1109/TAC.2003.812777

B. Brogliato, Absolute stability and the Lagrange-Dirichlet theorem with monotone multivalued mappings, Rapport INRIA, vol.51, issue.5, pp.343-353, 2004.
DOI : 10.1016/j.sysconle.2003.09.007

URL : https://hal.archives-ouvertes.fr/inria-00071792

B. Brogliato and W. P. Heemels, Design of Observers and Certainty Equivalence Controllers for Differential Inclusions: A Passivity Approach, INRIA Research Report, vol.6916, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00380820

M. K. Camlibel, J. S. Pang, and J. Shen, Conewise Linear Systems: Non???Zenoness and Observability, SIAM Journal on Control and Optimization, vol.45, issue.5, pp.1769-1800, 2006.
DOI : 10.1137/050645166

URL : http://iwi.eldoc.ub.rug.nl/FILES/root/2006/SIAMJContOptCamlibel/2006SIAMJContOptimCamlibel.pdf

K. Deimling, Multivalued Differential Equations, ser. Nonlinear Analysis and Applications, 1992.

J. F. Edmond and L. Thibault, Relaxation of an optimal control problem involving a perturbed sweeping process, Mathematical Programming, vol.30, issue.2-3, pp.347-373, 2005.
DOI : 10.1007/BFb0084935

A. F. Filippov, Differential Equations with Discontinuous Righthand Sides, Mathematics and its Applications, 1988.
DOI : 10.1007/978-94-015-7793-9

D. Goeleven, D. Motreanu, Y. Dumont, and M. Rochdi, Variational and Hemivariational Inequalities: Theory, Methods and Applications, ser. Nonconvex Optimization and its Applications, 2003.
DOI : 10.1007/978-1-4419-8758-7

W. P. Heemels, A. Juloski, and B. Brogliato, Observer design for Lur'e systems with monotonic multivalued mappings, Proc. 16th IFAC World Congr, 2005.
DOI : 10.3182/20050703-6-cz-1902.00316

W. P. Heemels, J. M. Schumacher, and S. Weiland, Linear Complementarity Systems, SIAM Journal on Applied Mathematics, vol.60, issue.4, pp.1234-1269, 2000.
DOI : 10.1137/S0036139997325199

URL : https://hal.archives-ouvertes.fr/hal-00834580

J. B. Hiriart-urruty and C. Lemaréchal, Fundamentals of Convex Analysis, ser. Grundlehren text Editions, 2001.

R. I. Leine and N. Van-de-wouw, Stability and Convergence of Mechanical Systems With Unilateral Constraints, Lecture Notes in Applied and Computational Mechanics, 2008.
DOI : 10.1007/978-3-540-76975-0

M. Osorio and J. A. Moreno, Dissipative Design of Observers for Multivalued Nonlinear Systems, Proceedings of the 45th IEEE Conference on Decision and Control, pp.5400-5405, 2006.
DOI : 10.1109/CDC.2006.377335

R. T. Rockafellar and R. J. Wets, Variational Analysis, 1998.

A. J. Van-der-schaft and J. M. Schumacher, The complementary-slackness class of hybrid systems, Mathematics of Control, Signals and Systems, vol.11, issue.3, pp.266-301, 1996.
DOI : 10.1007/978-1-4757-2101-0

F. Vasca, L. Iannelli, M. K. Camlibel, and R. Frasca, A New Perspective for Modeling Power Electronics Converters: Complementarity Framework, IEEE Transactions on Power Electronics, vol.24, issue.2, pp.456-468, 2009.
DOI : 10.1109/TPEL.2008.2007420