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 $θ$ -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.

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