Brogliato: Numerical Methods for Nonsmooth Dynamical Systems. Applications in Mechanics and Electronics, Lecture Notes in Applied and Computational Mechanics, vol.35, 2008. ,
Higher order Moreau???s sweeping process: mathematical formulation and numerical simulation, Mathematical Programming, vol.43, issue.4, pp.133-217, 2008. ,
DOI : 10.1007/BFb0109998
URL : http://www.inrialpes.fr/bipop/publis/AcBrGo2008MATHPROGA.pdf
Generalized discontinuous conduction modes in the complementarity formalism, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.52, issue.8, pp.447-451, 2005. ,
DOI : 10.1109/TCSII.2005.849010
Existence of Solutions to the Nonconvex Sweeping Process, Journal of Differential Equations, vol.164, issue.2, pp.286-295, 2000. ,
DOI : 10.1006/jdeq.1999.3756
Absolute stability and the Lagrange???Dirichlet theorem with monotone multivalued mappings, Systems & Control Letters, vol.51, issue.5, pp.343-353, 2004. ,
DOI : 10.1016/j.sysconle.2003.09.007
URL : https://hal.archives-ouvertes.fr/inria-00071792
Nonsmooth Mechanics, 1999. ,
DOI : 10.1007/978-1-4471-0557-2
URL : https://hal.archives-ouvertes.fr/hal-01236953
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
On the equivalence between complementarity systems, projected systems and differential inclusions, Systems & Control Letters, vol.55, issue.1, pp.45-51, 2006. ,
DOI : 10.1016/j.sysconle.2005.04.015
URL : https://hal.archives-ouvertes.fr/inria-00071475
Egeland: Dissipative Systems Analysis and Control, CCE Series, 2007. ,
On Linear Passive Complementarity Systems, European Journal of Control, vol.8, issue.3, pp.220-237, 2002. ,
DOI : 10.3166/ejc.8.220-237
Valadier: Evolution equations governed by the sweeping process, Set-Valued Anal, pp.109-139, 1993. ,
Monteiro Marques: BV periodic solutions of an evolution problem with continuous moving convex sets, Set-Valued Anal, pp.381-399, 1995. ,
Valadier: Convex Analysis and Measurable Multifunctions, Lecture Notes in Mathematics, vol.580, 1977. ,
DOI : 10.1007/bfb0087685
The sweeping process without convexity, Set-Valued Anal, pp.357-374, 1999. ,
BV solutions of nonconvex sweeping process differential inclusion with perturbation, Journal of Differential Equations, vol.226, issue.1, pp.135-179, 2006. ,
DOI : 10.1016/j.jde.2005.12.005
Relaxation of an optimal control problem involving a perturbed sweeping process, Mathematical Programming, vol.30, issue.2-3, pp.2-3, 2005. ,
DOI : 10.1007/BFb0084935
Modelling Electromechanical Systems with Electrical Switching Components Using the Linear Complementarity Problem, Multibody System Dynamics, vol.6, issue.3???4, pp.421-445, 2005. ,
DOI : 10.1002/9783527618385
Pang: Finite-Dimensional Variational Inequalities and Complementarity Problems, 2003. ,
Models of non-smooth switches in electrical systems, International Journal of Circuit Theory and Applications, vol.43, issue.3, pp.205-234, 2005. ,
DOI : 10.1002/9783527618385
Stability and Instability Matrices for Linear Evolution Variational Inequalities, IEEE Transactions on Automatic Control, vol.49, issue.4, pp.521-534, 2004. ,
DOI : 10.1109/TAC.2004.825654
URL : http://www.inrialpes.fr/bipop/people/brogliato/IEEE-TAC.2004.pdf
On the stability of stationary solutions of first order evolution variational inequalities, Adv. Nonlinear Var. Inequal, vol.6, pp.1-30, 2003. ,
Projected dynamical systems in a complementarity formalism, Operations Research Letters, vol.27, issue.2, pp.83-91, 2000. ,
DOI : 10.1016/S0167-6377(00)00042-0
Lemaréchal: Fundamentals of Convex Analysis, Grundlehren. Text Editions, 2001. ,
On parabolic quasi-variational inequalities and state-dependent sweeping processes, Topological Methods in Nonlinear Analysis, vol.12, issue.1, pp.179-191, 1998. ,
DOI : 10.12775/TMNA.1998.036
URL : http://www-users.mat.umk.pl/~tmna/files/v12n1-12.pdf
Yosida???Moreau Regularization of Sweeping Processes with Unbounded Variation, Journal of Differential Equations, vol.130, issue.2, pp.292-306, 1996. ,
DOI : 10.1006/jdeq.1996.0144
Geometry of Sets and Measures in Euclidean Spaces, 1995. ,
DOI : 10.1017/CBO9780511623813
Evolution problem associated with a moving convex set in a Hilbert space, Journal of Differential Equations, vol.26, issue.3, pp.347-374, 1977. ,
DOI : 10.1016/0022-0396(77)90085-7
Rafle par un convexe variable. I, Trav. Semin. d'Anal. Convexe, Montpellier 1, Exposé, vol.15, issue.36, p.pp, 1971. ,
Rafle par un convexe variable. II, Trav. Semin. d'Anal. Convexe, p.pp, 1972. ,
Sur les mesures différentielles des fonctions vectoriellesàvectoriellesà variation localement bornée, Trav. Semin. d'Anal, p.pp, 1975. ,
A chain rule involving vector functions of bounded variation, Journal of Functional Analysis, vol.74, issue.2, pp.333-345, 1987. ,
DOI : 10.1016/0022-1236(87)90029-2
Local differentiability of distance functions, Transactions of the American Mathematical Society, vol.352, issue.11, pp.5231-5249, 2000. ,
DOI : 10.1090/S0002-9947-00-02550-2
Convex Analysis, 1970. ,
DOI : 10.1515/9781400873173
Wets: Variational Analysis, Comprehensive Studies in Mathematics, vol.317, 1998. ,
Stability Theory for Systems of Inequalities. Part I: Linear Systems, SIAM Journal on Numerical Analysis, vol.12, issue.5, pp.754-769, 1975. ,
DOI : 10.1137/0712056
Sweeping process with regular and nonregular sets, Journal of Differential Equations, vol.193, issue.1, pp.1-26, 2003. ,
DOI : 10.1016/S0022-0396(03)00129-3
URL : https://doi.org/10.1016/s0022-0396(03)00129-3
Integration of Subdifferentials of Lower Semicontinuous Functions on Banach Spaces, Journal of Mathematical Analysis and Applications, vol.189, issue.1, pp.33-58, 1995. ,
DOI : 10.1006/jmaa.1995.1003
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
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
Wets: A Lipschitzian characterization of convex polyhedra, Proc. Amer, pp.167-173, 1969. ,