Dynamics and Control of Switched Electronic Systems Vasca, chapter 14. Time-Stepping via Complementarity, pp.417-450, 2012. ,
Time-stepping numerical simulation of switched circuits with the nonsmooth dynamical systems approach, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol.29, issue.7, pp.1042-1055, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00423550
Nonsmooth Modeling and Simulation for Switched Circuits, Lecture Notes in Electrical Engineering, vol.69, 2011. ,
URL : https://hal.archives-ouvertes.fr/inria-00522358
Concurrent multiple impacts modelling -case-study of a 3-ball chain, Second MIT conference on computational Fluid and Solid Mechanics, pp.1842-1847, 2003. ,
URL : https://hal.archives-ouvertes.fr/inria-00424298
Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics, Lecture Notes in Applied and Computational Mechanics, vol.35, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00423530
Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems, Systems & Control Letters / Systems and Control Letters, pp.0-18, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00423576
Implicit euler numerical scheme and chattering-free implementation of sliding mode systems, Systems and Control Letters, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00423576
Higher order Moreau's sweeping process: mathematical formulation and numerical simulation, Mathematical Programming Ser. A, vol.113, issue.1, pp.133-217, 2008. ,
Chattering-free digital sliding-mode control with state observer and disturbance rejection. Automatic Control, IEEE Transactions on, vol.57, issue.5, pp.1087-1101, 2012. ,
URL : https://hal.archives-ouvertes.fr/inria-00494417
A formulation of the linear discrete coulomb friction problem via convex optimization, ZAMM -Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol.91, issue.2, pp.155-175, 2011. ,
URL : https://hal.archives-ouvertes.fr/inria-00495734
Numerical simulation of piecewise-linear models of gene regulatory networks using complementarity systems theory, Physica D, vol.269, pp.103-199, 2013. ,
, Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. SIAM, 1998.
The dynamics of discrete mechanical systems with perfect unilateral constraints. arma, vol.154, pp.199-274, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00111308
Bounded variations and measure theory on the line. Lectures notes of the second summer on Nonsmooth Dynamics, Autrans, 2003. ,
Generalized discontinuous conduction modes in the complementarity formalism. Circuits and Systems II: Express Briefs, IEEE Transactions on, vol.52, issue.8, pp.447-451, 2005. ,
Review of contemporary approaches for constraint enforcement in multibody systems, Journal of Computational and Nonlinear Dynamics, vol.3, issue.1, p.11005, 2008. ,
Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, 1989. ,
, Nonsmooth Mechanics: Models, Dynamics and Control. Communications and Control Engineering, 1999.
URL : https://hal.archives-ouvertes.fr/hal-01236953
Absolute stability and the Lagrange-Dirichlet theorem with monotone multivalued mappings, Systems and Control Letters, vol.51, pp.343-353, 2004. ,
URL : https://hal.archives-ouvertes.fr/inria-00071792
Well-posedness, stability and invariance results for a class of multivalued lur'e dynamical systems, Nonlinear Analysis: Theory, Methods and Applications, vol.74, pp.195-212, 2011. ,
URL : https://hal.archives-ouvertes.fr/inria-00442081
Well-posedness results for non-autonomous complementairy systems, Journal of Convex Analysis, vol.17, issue.3-4, pp.961-990, 2010. ,
On linear passive complementarity systems, European Journal of Control, vol.8, pp.220-237, 2002. ,
Optimization and Nonsmooth analysis, 1983. ,
The linear complementarity problem, 1992. ,
New inequality and functional for contact with friction : The implicit standard material approach. msm, vol.19, pp.301-305, 1990. ,
The non-smooth approach applied to simulating integrated circuits and power electronics, 2006. ,
URL : https://hal.archives-ouvertes.fr/inria-00080839
LMGC90 une plateforme de développement dédiée à la modélisation des problèmes d'interaction, Actes du sixième colloque national en calcul des structures, vol.1, pp.111-118, 2003. ,
Object-oriented and hybrid modeling in modelica, Journal Européen des systèmes automatisés, vol.35, issue.4, pp.395-404, 2001. ,
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. ,
Practical Methods of Optimization, 1987. ,
Switching, relay and complementarity systems: A tutorial on their well-posedness and relationships, Dynamics and Bifurcations of Nonsmooth Systems, vol.241, issue.22, 1985. ,
URL : https://hal.archives-ouvertes.fr/hal-00646982
Flexible Multibody Dynamics: A finite element Approach, vol.340, 2001. ,
A fast procedure for computing the distance between complex objects in three-dimensional space, IEEE Journal on Robotics and Automation, vol.4, issue.2, pp.193-203, 1988. ,
Set-Valued Force Laws: Dynamics of Non-Smooth systems, Lecture Notes in Applied Mechanics, vol.1, 2001. ,
Concepts for modeling impacts without friction, Acta Mechanica, vol.168, issue.1-2, pp.1-19, 2004. ,
Classical Mechanics, 1980. ,
Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, Series in Comput. Mathematics, vol.14, 1996. ,
Linear complementarity systems, SIAM J. Appl. Math, vol.60, pp.1234-1269, 2000. ,
URL : https://hal.archives-ouvertes.fr/hal-00756195
Comparison between explicit and implicit discrete-time implementations of sliding-mode controllers, CDC 2013 -52nd IEEE Conference on Decision and Control, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00870281
Discrete-time twisting controller without numerical chattering: analysis and experimental results with an implicit method, CDC 2014 -IEEE 53rd Annual Conference on Decision and Control, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01066689
Comparison of several numerical methods for mechanical systems with impacts, Int. J. Numer. Methods Eng, vol.51, issue.9, pp.1101-1132, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-00814950
An introduction to Moreau's sweeping process, Impact in Mechanical systems: Analysis and Modelling, vol.551, pp.1-60, 2000. ,
On linear dynamic complementarity systems, IEEE Transactions on Circuits and Systems, vol.46, issue.8, pp.1022-1026, 1999. ,
Piecewise Linear Modeling and Analysis, 1998. ,
Piecewise Linear Modeling and Analysis, 1998. ,
Nonlinear dynamics and modelling of various wooden toys with impact and friction, Journal of Vibration and Control, vol.9, pp.25-78, 2001. ,
Dynamics and Bifurcations of Non-Smooth Mechanical Systems, Lecture Notes in Applied and Computational Mechanics, vol.18, 2004. ,
A unified variational model for the dynamics of perfect unilateral constraints, Eur. J. Mecha. A Solids, vol.17, issue.5, pp.819-842, 1998. ,
Modeling and Numerical Study of Nonsmooth Dynamical systems, 2006. ,
Differential Inclusions in Nonsmooth Mechanical Problems. Shocks and Dry Friction, Progress in Nonlinear Differential Equations and their Applications, vol.9, 1993. ,
, Liaisons unilatérales sans frottement et chocs inélastiques. cras, 296 série II, pp.1473-1476, 1983.
Standard inelastic shocks and the dynamics of unilateral constraints, Unilateral Problems in Structural Analysis, number 288 in CISM Course and Lectures, pp.173-221, 1985. ,
URL : https://hal.archives-ouvertes.fr/hal-01544442
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. ,
URL : https://hal.archives-ouvertes.fr/hal-01713847
Special issue on computational modeling of contact and friction, vol.177, pp.329-349, 1999. ,
Multiple Impacts in Dissipative Granular Chains, Lecture Notes in Applied and Computational Mechanics, vol.72, p.109, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00908612
Numerical Optimization, 1999. ,
Differential variational inequalities, Mathematical Programming A, vol.113, issue.2, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-01366027
Linear complementarity problems solvable by a polynomially bounded pivoting algorithms, Math. Prog. Study, vol.25, pp.13-27, 1985. ,
Multibody Dynamics with Unilateral Contacts. Non-linear Dynamics, 1996. ,
On solution concepts and wellposedness of linear relay systems, Automatica, vol.39, pp.2139-2147, 2003. ,
Generalized equations and their solutions. I. Basic theory. Mathematical programming study, vol.10, pp.128-141, 1979. ,
, Convex Analysis, 1970.
A class of nonlinear differential equations of second order in time, vol.2, pp.355-373, 1978. ,
URL : https://hal.archives-ouvertes.fr/hal-01294058
Reformulations of measure differential inclusions and their closed graph property. jde, vol.175, pp.108-129, 2001. ,
Convergence of a time-stepping scheme for rigid body dynamics and resolution of Painlevé's problems, Arch. Rat. Mech. Anal, vol.145, issue.3, pp.215-260, 1998. ,
RR n°0340 RESEARCH CENTRE GRENOBLE -RHÔNE-ALPES Inovallée 655 avenue de l'Europe Montbonnot 38334 Saint Ismier Cedex Publisher Inria Domaine de Voluceau -Rocquencourt BP 105 -78153 Le Chesnay Cedex inria, pp.249-6399, 2000. ,