V. Acary and B. Brogliato, 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

A. Faiz, An implicit enumeration procedure for the general linear complementarity problem, Math. Program. Study, vol.31, pp.1-20, 1987.

S. C. Billups and M. C. Ferris, QPCOMP: A quadratic programming based solver for mixed complementarity problems, Mathematical Programming, vol.19, issue.3, 1995.
DOI : 10.1016/B978-0-12-468660-1.50006-2

C. Chen and O. L. Mangasarian, A class of smoothing functions for nonlinear and mixed complementarity problems, Computational Optimization and Applications, vol.19, issue.no. 4, pp.97-138, 1996.
DOI : 10.1007/BF01581628

T. Deluca, F. Facchinei, and C. Kanzow, A semismooth equation approach to the solution of nonlinear complementarity problems, Mathematical Programming, pp.407-439, 1996.

S. P. Dirkse and M. C. Ferris, The path solver: a nommonotone stabilization scheme for mixed complementarity problems, Optimization Methods and Software, vol.17, issue.2, pp.123-156, 1995.
DOI : 10.1007/BF01580722

A. L. Dontchev and F. Lempio, Difference Methods for Differential Inclusions: A Survey, SIAM Review, vol.34, issue.2, pp.263-294, 1992.
DOI : 10.1137/1034050
URL : https://hal.archives-ouvertes.fr/hal-01571241

M. B. Elowitz and S. Leibler, A synthetic oscillatory network of transcriptional regulators, Nature, vol.81, issue.6767, pp.335-338, 2000.
DOI : 10.1021/j100540a008

F. Facchinei and J. S. Pang, Finite-dimensional Variational Inequalities and Complementarity Problems, volume I & II of Springer Series in Operations Research, 2003.

S. Gabriel and J. S. Pang, An inexact NE/SQP method for solving the nonlinear complementarity problem, Computational Optimization and Applications, vol.14, issue.1, pp.67-91, 1992.
DOI : 10.1007/BF02186474

J. Júdice, A. Faustino, and I. Ribeiro, On the solution of NP-hard linear complementarity problems, Top, vol.13, issue.1, pp.125-145, 2002.
DOI : 10.1007/BFb0121176

A. Machina and A. Ponosov, Filippov solutions in the analysis of piecewise linear models describing gene regulatory networks, Nonlinear Analysis: Theory, Methods & Applications, vol.74, issue.3, pp.882-900, 2011.
DOI : 10.1016/j.na.2010.09.039

J. S. Pang and S. Gabriel, NE/SQP: A robust algorithm for the nonlinear complementarity problem, Mathematical Programming, vol.40, issue.1-3, pp.295-338, 1993.
DOI : 10.1007/BFb0121032

D. Ralph, Global Convergence of Damped Newton's Method for Nonsmooth Equations via the Path Search, Mathematics of Operations Research, vol.19, issue.2, pp.352-389, 1994.
DOI : 10.1287/moor.19.2.352

T. Rutherford, Miles: A mixed inequality and nonlinear equation solver, 1993.

H. D. Sherali, R. S. Krishnamurthy, and F. A. , Enumeration Approach for Linear Complementarity Problems Based on a Reformulation-Linearization Technique, Journal of Optimization Theory and Applications, vol.31, issue.2, pp.481-507, 1023.
DOI : 10.1002/nav.3800310408