Bibliography

Major publications by the team in recent years

• 1V. Acary, O. Bonnefon, B. Brogliato.
  Nonsmooth Modeling and Simulation for Switched Circuits, Lecture Notes in Electrical Engineering, Springer Verlag, 2011, vol. 69.
• 2V. Acary, B. Brogliato.
  Numerical Methods for Nonsmooth Dynamical Systems: Applications in Mechanics and Electronics, Lecture Notes in Applied and Computational Mechanics, Springer Verlag, 2008, vol. 35.
• 3J. Bonnans, J. Gilbert, C. Lemaréchal, C. Sagastizábal.
  Numerical Optimization, Springer Verlag, 2003.
• 4B. Brogliato.
  Some perspectives on the analysis and control of complementarity systems, in: IEEE Trans. Automatic Control, 2003, vol. 48, n^o 6, pp. 918-935.
• 5B. Brogliato.
  Nonsmooth Mechanics, Springer Verlag, 1999, 2nd edition.
• 6B. Brogliato, R. Lozano, B. Maschke, O. Egeland.
  Dissipative Systems Analysis and Control, Springer Verlag, London, 2007, 2nd edition.
• 7B. Brogliato, S. Niculescu, P. Orhant.
  On the control of finite-dimensional mechanical systems with unilateral constraints, in: IEEE Trans. Automatic Control, 1997, vol. 42, n^o 2, pp. 200-215.
• 8G. Daviet, F. Bertails-Descoubes, L. Boissieux.
  A hybrid iterative solver for robustly capturing Coulomb friction in hair dynamics, in: ACM Transactions on Graphics (Proceedings of the ACM SIGGRAPH Asia'11 Conference, December 2011, vol. 30.
  http://www.inrialpes.fr/bipop/people/bertails/Papiers/hybridIterativeSolverHairDynamicsSiggraphAsia2011.html
• 9D. Henrion, J. Malick.
  Projection methods for conic feasibility problems: applications to polynomial sum-of-squares decompositions, in: Optimization Methods and Software, December 2009.
• 10J.-B. Hiriart-Urruty, C. Lemaréchal.
  Convex Analysis and Minimization Algorithms, Springer Verlag, Heidelberg, 1993, Two volumes.
• 11C. Lemaréchal.
  Lagrangian relaxation, in: Computational Combinatorial Optimization, M. Jünger, D. Naddef (editors), Springer Verlag, 2001, pp. 115-160.
• 12C. Lemaréchal, F. Oustry.
  Semi-definite relaxations and Lagrangian duality with application to combinatorial optimization, Inria, 1999, n^o 3710.
  http://hal.inria.fr/inria-00072958
• 13C. Lemaréchal, F. Oustry, C. Sagastizábal.
  The $𝒰$-Lagrangian of a convex function, in: Trans. AMS, 2000, vol. 352, n^o 2, pp. 711-729.
• 14C. Liu, Z. Zhen, B. Brogliato.
  Frictionless multiple impacts in multibody systems: Part I. Theoretical framework, in: Proceedings of the Royal Society A, Mathematical, Physical and Engineering Sciences, December 2008, vol. 464, n^o 2100, pp. 3193-3211.
• 15S. Nguyen, B. Brogliato.
  Multiple Impacts in Dissipative Granular Chains, Lecture Notes in Applied and Computational Mechanics, Springer Verlag, 2014, vol. 72.
• 16A. Tonnelier.
  Propagation of spike sequences in neural networks, in: SIAM J. Appl. Dyn. Syst., 2010, vol. 9.
• 17G. Zheng, A. Tonnelier, D. Martinez.
  Voltage-stepping schemes for the simulation of spiking neural networks, in: Journal of Computational Neuroscience, 2009, vol. 26, n^o 3.

Publications of the year

Articles in International Peer-Reviewed Journals

• 18V. Acary.
  Projected event-capturing time-stepping schemes for nonsmooth mechanical systems with unilateral contact and Coulomb's friction, in: Computer Methods in Applied Mechanics and Engineering, April 2013, vol. 256, pp. 224-250. [ DOI : 10.1016/j.cma.2012.12.012 ]
  http://hal.inria.fr/hal-00758613
• 19V. Acary, H. De Jong, B. Brogliato.
  Numerical simulation of piecewise-linear models of gene regulatory networks using complementarity systems, in: Physica D: Nonlinear Phenomena, February 2014, vol. 269, pp. 103-119. [ DOI : 10.1016/j.physd.2013.11.013 ]
  http://hal.inria.fr/hal-00924044
• 20S. Adly, B. Brogliato, B. K. Le.
  Well-Posedness, Robustness, and Stability Analysis of a Set-Valued Controller for Lagrangian Systems, in: SIAM Journal on Control and Optimization, 2013, vol. 51, n^o 2, pp. 1592-1614. [ DOI : 10.1137/120872450 ]
  http://hal.inria.fr/hal-00825578
• 21B. Bidégaray-Fesquet, E. Dumas, G. James.
  From Newton's cradle to the discrete p-Schrödinger equation, in: SIAM Journal on Mathematical Analysis, 2013, vol. 45, n^o 6, pp. 3404-3430. [ DOI : 10.1137/130924196 ]
  http://hal.inria.fr/hal-00831868
• 22B. Brogliato.
  Inertial couplings between unilateral and bilateral holonomic constraints in frictionless Lagrangian systems, in: Multibody System Dynamics, March 2013, vol. 29, n^o 3, pp. 289-325. [ DOI : 10.1007/s11044-012-9317-8 ]
  http://hal.inria.fr/hal-00825581
• 23B. Brogliato, D. Goeleven.
  Existence, uniqueness of solutions and stability of nonsmooth multivalued Lur'e dynamical systems, in: Journal of Convex Analysis, 2013, vol. 20, n^o 3, pp. 881-900.
  http://hal.inria.fr/hal-00825601
• 24L. Caishan, Z. Hongjian, Z. Zhen, B. Brogliato.
  Impact-contact dynamics in a disc-ball system, in: Proceedings of the Royal Society A, Mathematical, Physical and Engineering Sciences, April 2013, vol. 469, n^o 2152. [ DOI : 10.1098/rspa.2012.0741 ]
  http://hal.inria.fr/hal-00825597
• 25R. Casati, F. Bertails-Descoubes.
  Super Space Clothoids, in: ACM Transactions on Graphics, July 2013, vol. 32, n^o 4, Special Issue: SIGGRAPH 2013 Conference. [ DOI : 10.1145/2461912.2461962 ]
  http://hal.inria.fr/hal-00840335
• 26Q. Z. Chen, V. Acary, G. Virlez, O. Brüls.
  A nonsmooth generalized-alpha scheme for flexible multibody systems with unilateral constraints, in: International Journal for Numerical Methods in Engineering, November 2013, vol. 96, n^o 8, pp. 487-511. [ DOI : 10.1002/nme.4563 ]
  http://hal.inria.fr/hal-00858066
• 27A. Derouet-Jourdan, F. Bertails-Descoubes, G. Daviet, J. Thollot.
  Inverse Dynamic Hair Modeling with Frictional Contact, in: ACM Transactions on Graphics, 2013.
  http://hal.inria.fr/hal-00857559
• 28A. Derouet-Jourdan, F. Bertails-Descoubes, J. Thollot.
  Floating tangents for approximating spatial curves with G1 piecewise helices, in: Computer Aided Geometric Design, June 2013, vol. 30, n^o 5, pp. 490-520. [ DOI : 10.1016/j.cagd.2013.02.007 ]
  http://hal.inria.fr/hal-00843591
• 29S. Greenhalgh, V. Acary, B. Brogliato.
  On preserving dissipativity properties of linear complementarity dynamical systems with the $\theta$-method, in: Numerische Mathematik, April 2013, vol. 125, n^o 4, pp. 601-637.
  http://hal.inria.fr/hal-00807807
• 30Z. Hongjian, B. Brogliato, L. Caishan.
  Study of the Planar Rocking-Block Dynamics With Coulomb Friction: Critical Kinetic Angles, in: Journal of Computational and Nonlinear Dynamics, July 2013, vol. 8, n^o 2, pp. 1-11. [ DOI : 10.1115/1.4007056 ]
  http://hal.inria.fr/hal-00825590
• 31T. Schindler, V. Acary.
  Timestepping schemes for nonsmooth dynamics based on discontinuous Galerkin methods: Definition and outlook, in: Mathematics and Computers in Simulation, 2014, vol. 95, pp. 180-199. [ DOI : 10.1016/j.matcom.2012.04.012 ]
  http://hal.inria.fr/hal-00762850
• 32H. Zhang, B. Brogliato, C. Liu.
  Dynamics of planar rocking-blocks with Coulomb friction and unilateral constraints: comparisons between experimental and numerical data, in: Multibody System Dynamics, March 2013, à paraître. [ DOI : 10.1007/s11044-013-9356-9 ]
  http://hal.inria.fr/hal-00845340

International Conferences with Proceedings

• 33V. Acary, M. Brémond, K. Kapellos, J. Michalczyk, R. Pissard-Gibollet.
  Mechanical simulation of the Exomars rover using Siconos in 3DROV, in: ASTRA 2013 - 12th Symposium on Advanced Space Technologies in Robotics and Automation, Noordwijk, Netherlands, ESA/ESTEC, May 2013.
  http://hal.inria.fr/hal-00821221
• 34M. Conforti, G. Cornuéjols, A. Daniilidis, C. Lemaréchal, J. Malick.
  Cut-Generating Functions, in: IPCO 2013 - 16th International Conference on Integer Programming and Combinatorial Optimization, Valparaíso, Chile, M. Goemans, J. Correa (editors), Lecture Notes in Computer Science, Springer, 2013, vol. 7801, pp. 123-132. [ DOI : 10.1007/978-3-642-36694-9_11 ]
  http://hal.inria.fr/hal-00804175
• 35M. Haddouni, V. Acary, J.-D. Beley.
  Comparison of index-3, index-2 and index-1 DAE solvers for nonsmooth multibody systems with unilateral and bilateral constraints, in: Multibody Dynamics 2013, Zagreb, Croatia, Eccomas, May 2013.
  http://hal.inria.fr/hal-00821314
• 36O. Huber, V. Acary, B. Brogliato.
  Comparison between explicit and implicit discrete-time implementations of sliding-mode controllers, in: CDC 2013 - 52nd IEEE Conference on Decision and Control, Florence, Italy, October 2013.
  http://hal.inria.fr/hal-00870281
• 37V. Sessa, L. Iannelli, V. Acary, B. Brogliato, F. Vasca.
  Computing Period and Shape of Oscillations in Piecewise Linear Lur'e Systems: a Complementarity Approach, in: CDC 2013 - 52nd IEEE Conference on Decision and Control, Firenze, Italy, October 2013.
  http://hal.inria.fr/hal-00870282
• 38A. Tanwani, B. Brogliato, C. Prieur.
  On Stability of Measure Driven Differential Equations, in: NOLCOS'13 - 9th IFAC Symposium on Nonlinear Control Systems, Toulouse, France, S. Tarbouriech, M. Krstic (editors), Nonlinear Control Systems, IFAC, September 2013, vol. 9, pp. 241-246. [ DOI : 10.3182/20130904-3-FR-2041.00135 ]
  http://hal.inria.fr/hal-00926112
• 39A. Tanwani, B. Brogliato, C. Prieur.
  Passivity-Based Observer Design for a Class of Lagrangian Systems with Perfect Unilateral Constraints, in: IEEE Conference on Decision and Control, Florence, Italy, 2013.
  http://hal.inria.fr/hal-00908734

National Conferences with Proceedings

• 40M. Haddouni, V. Acary, J.-D. Beley, S. Garreau.
  Comparison of index-2 and index-1 DAE solvers for nonsmooth multibody systems with unilateral or bilateral constraints, in: CSMA 2013 - 11e Colloque National en Calcul des Structures, Giens, France, CSMA, February 2013.
  http://hal.inria.fr/hal-00821315

Conferences without Proceedings

• 41V. Acary.
  Ordinary differential equations with discontinuous right-hand sides as complementarity systems. Application to gene regulatory networks, in: ICCOPT 2013 - 4th International Conference on Continuous Optimization, Lisbon, Portugal, July 2013.
  http://hal.inria.fr/hal-00870283

Scientific Books (or Scientific Book chapters)

• 42V. Acary, F. Cadoux.
  Applications of an existence result for the Coulomb friction problem, in: Recent Advances in Contact Mechanics, G. E. Stavroulakis (editor), Lecture Notes in Applied and Computational Mechanics, Springer, 2013, vol. 56, pp. 45-66. [ DOI : 10.1007/978-3-642-33968-4_4 ]
  http://hal.inria.fr/hal-00782128
• 43G. James, Y. Starosvetsky.
  Breather solutions of the discrete p-Schrödinger equation, in: Localized Excitations in Nonlinear Complex Systems, R. Carretero-González, J. Cuevas-Maraver, D. Frantzeskakis, N. Karachalios, P. Kevrekidis, F. Palmero-Acebedo (editors), Nonlinear Systems and Complexity, volume 7, Springer International Publishing, 2014, pp. 77-115, To appear in Springer Series on Wave Phenomena. [ DOI : 10.1007/978-3-319-02057-0_4 ]
  http://hal.inria.fr/hal-00849582
• 44S. Nguyen Ngoc, B. Brogliato.
  Multiple Impacts in Dissipative Granular Chains, Lecture Notes in Applied and Computational Mechanics, Springer Verlag, 2013, vol. 72, 234 p. [ DOI : 10.1007/978-3-642-39298-6 ]
  http://hal.inria.fr/hal-00908612

Internal Reports

• 45V. Acary, H. De Jong, B. Brogliato.
  Numerical Simulation of Piecewise-Linear Models of Gene Regulatory Networks Using Complementarity Systems, Inria, January 2013, n^o RR-8207, 42 p.
  http://hal.inria.fr/hal-00778412
• 46O. Huber, V. Acary, B. Brogliato.
  Analysis of explicit and implicit discrete-time equivalent-control based sliding mode controllers, Inria, October 2013, n^o RR-8383, 23 p.
  http://hal.inria.fr/hal-00875209
• 47A. Tanwani, B. Brogliato, C. Prieur.
  Stability and Observer Design for a Class of Nonsmooth Dynamical Systems with Nonconvex State Constraints, Inria, September 2013, n^o RR-8248.
  http://hal.inria.fr/hal-00790618
• 48A. Tonnelier.
  Cyclic negative feedback systems: what is the chance of oscillation?, December 2013.
  http://hal.inria.fr/hal-00919629

Other Publications

• 49G. James, D. Pelinovsky.
  Gaussian solitary waves and compactons in Fermi-Pasta-Ulam lattices with Hertzian potentials, 2013.
  http://hal.inria.fr/hal-00844170

References in notes

• 50F. Bertails, B. Audoly, M.-P. Cani, B. Querleux, F. Leroy, J.-L. Lévêque.
  Super-Helices for Predicting the Dynamics of Natural Hair, in: ACM Transactions on Graphics (Proceedings of the ACM SIGGRAPH'06 conference), 2006, vol. 25, n^o 3, pp. 1180–1187.
  http://www-evasion.imag.fr/Publications/2006/BACQLL06
• 51B. Brogliato.
  Absolute stability and the Lagrange-Dirichlet theorem with monotone multivalued mappings, in: Systems and Control Letters, 2004, vol. 51, pp. 543-553.
• 52B. Brogliato, D. Goeleven.
  Well-posedness, stability and invariance results for a class of multivalued Lur'e dynamical systems, in: Nonlinear Analysis: Theory, Methods and Applications, 2011, vol. 74, pp. 195-211.
• 53B. Brogliato, D. Goeleven.
  Existence, uniqueness of solutions and stability of nonsmooth multivalued Lur'e dynamical systems, in: Journal of Convex Analysis, 2013, vol. 20, n^o 3, pp. 881-900.
• 54A. Derouet-Jourdan, F. Bertails-Descoubes, J. Thollot.
  Stable Inverse Dynamic Curves, in: ACM Transactions on Graphics (Proceedings of the ACM SIGGRAPH Asia'10 Conference), December 2010, vol. 29.
  http://doi.acm.org/10.1145/1882261.1866159
• 55A. Derouet-Jourdan, F. Bertails-Descoubes, J. Thollot.
  3D Inverse Dynamic Modeling of Strands, in: ACM SIGGRAPH 2011 Posters, Vancouver, Canada, D. Wexler (editor), ACM, August 2011, n^o 55, Poster. [ DOI : 10.1145/2037715.2037778 ]
  http://hal.inria.fr/inria-00617857
• 56S. Ghosh.
  Geometric approximation of curves and singularities of secant maps. A differential geometric approach, University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science., December 2010.
• 57S. Greenhalg, V. Acary, B. Brogliato.
  Preservation of the dissipativity properties of linear complementarity dynamical systems with the theta-algorithm, 2011, submitted to Numerische Mathematik.
• 58K. Kiwiel.
  A proximal bundle method with approximate subgradient linearizations, in: SIAM J. on Optimization, 2006, vol. 16, n^o 4, pp. 1007-1023.
• 59N. Krislock, J. Malick, F. Roupin.
  Improved semidefinite branch-and-bound algorithm for k-cluster.
  http://hal.inria.fr/hal-00717212
• 60N. Krislock, J. Malick, F. Roupin.
  Improved semidefinite bounding procedure for solving Max-Cut problems to optimality, in: Mathematical Programming, October 2012, pp. 1-28. [ DOI : 10.1007/s10107-012-0594-z ]
  http://hal.archives-ouvertes.fr/hal-00665968
• 61J. Malick, F. Roupin.
  On the bridge between combinatorial optimization and nonlinear optimization: a family of semidefinite bounds for 0-1 quadratic problems leading to quasi-Newton methods, in: Math. Programming B, 2011, To appear.
• 62F. Rendl, G. Rinaldi, A. Wiegele.
  Solving Max-cut to optimality by intersecting semidefinite and polyedral relaxations, in: Math. Programming, 2010, vol. 121, pp. 307-335.
• 63S. Zaourar, J. Malick.
  Prices stabilization for inexact unit-commitment problems, July 2012.
  http://hal.archives-ouvertes.fr/hal-00720352
• 64H. Zhang, B. Brogliato, C. Liu.
  Study of the planar rocking-block dynamics with Coulomb friction: Critical kinetic angles, in: ASME Journal of Computational and Nonlinear Systems, April 2013, vol. 8, n^o 2, 11 p, doi.org/10.1115/1.4007056.