Higher order moreau's sweeping process: Mathematical formulation and numerical simulation, Mathematical Programming A, 2005. ,
Differential inclusions: set-valued maps and viability theory, 1984. ,
Oprateurs maximaux monotones et semi-groupes de contraction dans les espaces de Hilbert, 1973. ,
On the equivalence between complementarity systems, projected systems and differential inclusions, Systems and Control Letters, vol.55, issue.1, pp.45-51, 2006. ,
URL : https://hal.archives-ouvertes.fr/inria-00071475
Complementarity Methods in the Analysis of Piecewise Linear Dynamical Systems, vol.5668, p.73, 2001. ,
Consistency of a time-stepping method for a class of piecewise-linear networks, IEEE Transactions on Circuits and Systems I, vol.49, pp.349-357, 2002. ,
Lyaunov stability of complementarity and extended systems, SIAM Journal on Optimization, 2006. ,
Generalized gradients and its applications, Transactions of A.M.S, vol.205, pp.247-262, 1975. ,
Optimization and Nonsmooth analysis, 1983. ,
Projected Dynamical Systems on Hilbert Spaces, Departement of Mathematics and Statistics, Quenn's university, 2002. ,
Existence of solutions to projected differential equations on hilbert spaces, Proceedings of the AMS, vol.132, issue.1, pp.183-193, 2003. ,
The linear complementarity problem, 1992. ,
Multivalued Differential Equations, 1992. ,
Finite-dimensional variational inequalities and complementarity problems, volume I & II of Springer Series in Operations Research, 2003. ,
Differential equations with discontinuous right hand sides, 1988. ,
Stability and instability matrices for linear evolution variational inequalities, IEEE Transactions on Automatic Control, vol.49, issue.4, pp.521-534, 2004. ,
, Variational and Hemivariational Inequalities: Theory, Methods and Applications
, Nonconvex Optimization and its Applications, Pang. Finite-dimensional variational inequality and complemntarity problems: a survey of theory, algorithms and applications. Mathematical Programming, vol.I, pp.160-220, 1990.
Linear Complementarity Systems. A Study in Hybrid Dynamics, 1999. ,
URL : https://hal.archives-ouvertes.fr/hal-00756195
The complementarity class of hybrid dynamical systems, European Journal of Control, vol.9, pp.311-349, 2003. ,
Linear complementarity problems, S.I.A.M. Journal of applied mathematics, vol.60, issue.4, pp.1234-1269, 2000. ,
Convex Analysis and Minimization Algorithms, volume I et II, 1993. ,
Computation of piecewise quadratic lyapunov functions for hybrid systems, IEEE Transactions on Automatic Control, vol.43, issue.4, pp.555-559, 1998. ,
An Introduction ot Variational Inequalities, 1980. ,
On parabolic quasi-variational inequalities ans state-dependent sweeping processes, Topol. Methods Non Linear Analysis, vol.12, pp.179-191, 1998. ,
An introduction to moreau's sweeping process, Mechanical systems: Analysis and Modelling, vol.551, pp.1-60, 2000. ,
Variational inequalities, Communications on Pure ans applied Mathematics, XX, pp.493-519, 1967. ,
Differential Inclusions in NonSmooth Mechanical Problems : Shocks and Dry Friction, 1993. ,
Generalized differential calculus for nonsmooth ans set-valued analysis, Journal of Mathematical analysis and applications, vol.183, pp.250-288, 1994. ,
Rafle par un convexe variable premì ere partie), exposé no 15. Séminaire d'analyse convexe, 1971. ,
Rafle par un convexe variable deuxì eme partie) exposé no 3. Séminaire d'analyse convexe, 1972. ,
Evolution problem associated with a moving convex set in a Hilbert space, Journal of Differential Equations, vol.26, pp.347-374, 1977. ,
URL : https://hal.archives-ouvertes.fr/hal-01660021
Liaisons unilatérales sans frottement et chocs inélastiques. Comptes Rendus de l'Académie des Sciences, 296 serie II, pp.1473-1476, 1983. ,
Unilateral contact and dry friction in finite freedom dynamics, Nonsmooth mechanics and applications, number 302 in CISM, Courses and lectures, vol.302, pp.1-82, 1988. ,
Differential variational inequalities. Mathematical Programming A, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-01366027
Sur une classe de problmes hyperboliques non linaires. Comptes Rendus de l'Académie des, Sciences Srie A, vol.277, pp.671-674, 1973. ,
A class of nonlinear differential equations of second order in time, Nonlinear Analysis, Theory, Methods & Applications, vol.2, pp.355-373, 1978. ,
URL : https://hal.archives-ouvertes.fr/hal-01294058
Introduction to the theory of Differential inclusions, Graduate Studies in Mathematics, vol.41, 2002. ,
Variable structure systems with sliding modes: A survey, IEEE Transactions on Automatic Control, vol.22, pp.212-222, 1977. ,