Bibliography

Major publications by the team in recent years

1V. Acary, B. Brogliato.

Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics, Lecture Notes in Applied and Computational Mechanics 35. Berlin: Springer. xxi, 525 p. , 2008.
2B. Brogliato.

Nonsmooth mechanics, Communications and Control Engineering Series, Third, Springer, [Cham], 2016, xxii+629 p, Models, dynamics and control.

http://dx.doi.org/10.1007/978-3-319-28664-8

Publications of the year

Articles in International Peer-Reviewed Journals

3B. Brogliato, J. Kövecses, V. Acary.

The contact problem in Lagrangian systems with redundant frictional bilateral and unilateral constraints and singular mass matrix. The all-sticking contacts problem, in: Multibody System Dynamics, 2020, vol. 48, n^o 2, pp. 151-192. [ DOI : 10.1007/s11044-019-09712-1 ]

https://hal.inria.fr/hal-02315547
4B. Brogliato, A. Polyakov, D. Efimov.

The implicit discretization of the super-twisting sliding-mode control algorithm, in: IEEE Transactions on Automatic Control, 2019, pp. 1-8, forthcoming. [ DOI : 10.1109/TAC.2019.2953091 ]

https://hal.inria.fr/hal-02336599
5B. Brogliato, A. Tanwani.

Dynamical systems coupled with monotone set-valued operators: Formalisms, applications, well-posedness, and stability, in: SIAM Review, 2019, pp. 1-125, forthcoming.

https://hal.inria.fr/hal-02379498
6A. Ferrante, A. Lanzon, B. Brogliato.

A direct proof of the equivalence of side conditions for strictly positive real matrix transfer functions, in: IEEE Transactions on Automatic Control, 2020, vol. 65, n^o 1, pp. 450-452. [ DOI : 10.1109/TAC.2019.2918123 ]

https://hal.inria.fr/hal-01947938
7O. Huber, V. Acary, B. Brogliato.

Lyapunov stability analysis of the implicit discrete-time twisting control algorithm, in: IEEE Transactions on Automatic Control, 2019, pp. 1-8, forthcoming. [ DOI : 10.1109/TAC.2019.2940323 ]

https://hal.inria.fr/hal-01622092
8G. James, K. Vorotnikov, B. Brogliato.

Kuwabara-Kono numerical dissipation: a new method to simulate granular matter, in: IMA Journal of Applied Mathematics, 2019, pp. 1-29, forthcoming.

https://hal.archives-ouvertes.fr/hal-01878973
9F. Miranda-Villatoro, F. Castaños, B. Brogliato.

Continuous and discrete-time stability of a robust set-valued nested controller, in: Automatica, September 2019, vol. 107, pp. 406-417. [ DOI : 10.1016/j.automatica.2019.06.003 ]

https://hal.inria.fr/hal-01944920
10A. Polyakov, D. Efimov, B. Brogliato.

Consistent Discretization of Finite-time and Fixed-time Stable Systems, in: SIAM Journal on Control and Optimization, 2019, vol. 57, n^o 1, pp. 78-103. [ DOI : 10.1137/18M1197345 ]

https://hal.inria.fr/hal-01838712
11A. Tonnelier.

Signal propagations along excitable chains, in: SIAM Journal on Applied Dynamical Systems, 2019, vol. 18, n^o 3, pp. 1391-1419. [ DOI : 10.1137/18M1234229 ]

https://hal.archives-ouvertes.fr/hal-02180588
12A. Vieira, B. Brogliato, C. Prieur.

Quadratic Optimal Control of Linear Complementarity Systems: First order necessary conditions and numerical analysis, in: IEEE Transactions on Automatic Control, 2020, pp. 1-8, forthcoming. [ DOI : 10.1109/TAC.2019.2945878 ]

https://hal.inria.fr/hal-01690400

International Conferences with Proceedings

13A. Polyakov, D. Efimov, B. Brogliato, M. Reichhartinger.

Consistent Discretization of Locally Homogeneous Finite-time Stable Control Systems, in: ECC 2019 - 18th European Control Conference, Naples, Italy, IEEE, June 2019, pp. 1616-1621. [ DOI : 10.23919/ECC.2019.8795633 ]

https://hal.inria.fr/hal-02069717
14A. Vieira, B. Brogliato, C. Prieur.

Optimality conditions for the minimal time problem for Complementarity Systems, in: Joint 8th IFAC Symposium on Mechatronic Systems (MECHATRONICS'19) and 11th IFAC Symposium on Nonlinear Control Systems (NOLCOS'19), Vienne, Austria, IFAC, September 2019, pp. 325-330.

https://hal.inria.fr/hal-01856054

Scientific Books (or Scientific Book chapters)

15B. Brogliato, R. Lozano, B. Maschke, O. Egeland.

Dissipative Systems Analysis and Control : Theory and Application, Communication and Control Engineering, Springer International Publishing, 2020. [ DOI : 10.1007/978-3-030-19420-8 ]

https://hal.archives-ouvertes.fr/hal-02407669

Internal Reports

16V. Acary, O. Bonnefon, M. Brémond, O. Huber, F. Pérignon, S. Sinclair.

An introduction to Siconos, Inria, November 2019, n^o RT-0340, 97 p.

https://hal.inria.fr/inria-00162911
17B. Brogliato.

Nonsmooth Mechanics. Models, Dynamics and Control : Erratum/Addendum, Inria Grenoble - Rhone-Alpes, September 2019, pp. 1-15.

https://hal.inria.fr/hal-01331565
18A. Rocca, V. Acary, B. Brogliato.

Index-2 hybrid DAE: a case study with well-posedness and numerical analysis, Inria - Research Centre Grenoble – Rhône-Alpes, November 2019.

https://hal.inria.fr/hal-02381489

Other Publications

19V. Acary, F. Bourrier.

Coulomb friction with rolling resistance as a cone complementarity problem, November 2019, working paper or preprint.

https://hal.inria.fr/hal-02382213
20C. Bertrand, V. Acary, C. H. Lamarque, A. Ture Savadkoohi.

A robust and efficient numerical finite element method for cables, January 2020, working paper or preprint.

https://hal.inria.fr/hal-02439982
21A. Rocca, V. Acary, B. Brogliato.

Index-2 hybrid DAE: a case study with well-posedness and numerical analysis, December 2019, working paper or preprint.

https://hal.archives-ouvertes.fr/hal-02391311
22V. N. Vo.

Trajectory tracking design for linear complementarity systems with continuous solutions, university of Limoges, France, July 2019, INTERNSHIP REPORT for the degree of Master in Applied Mathematics.

https://hal.inria.fr/hal-02267750

References in notes

23V. Acary.

Higher order event capturing time–stepping schemes for nonsmooth multibody systems with unilateral constraints and impacts., in: Applied Numerical Mathematics, 2012, vol. 62, pp. 1259–1275. [ DOI : 10.1016/j.apnum.2012.06.026 ]

http://hal.inria.fr/inria-00476398
24V. 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, 2013, vol. 256, pp. 224–250. [ DOI : 10.1016/j.cma.2012.12.012 ]

http://www.sciencedirect.com/science/article/pii/S0045782512003829
25V. Acary.

Energy conservation and dissipation properties of time-integration methods for the nonsmooth elastodynamics with contact, in: Zeitschrift für Angewandte Mathematik und Mechanik, 2016, vol. 95, n^o 5, pp. 585–603.
26V. Acary, O. Bonnefon, B. Brogliato.

Nonsmooth modeling and simulation for switched circuits., Lecture Notes in Electrical Engineering 69. Dordrecht: Springer. xxiii, 284 p., 2011.

http://dx.doi.org/10.1007/978-90-481-9681-4
27V. Acary, M. Brémond, O. Huber.

On solving frictional contact problems: formulations and comparisons of numerical methods., in: Advanced Topics in Nonsmooth Dynamics, Acary, V. and Brüls. O. and Leine, R. (eds). Springer Verlag, 2018, To appear.
28V. Acary, B. Brogliato.

Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics, Lecture Notes in Applied and Computational Mechanics 35. Berlin: Springer. xxi, 525 p. , 2008.
29V. Acary, B. Brogliato.

Implicit Euler numerical scheme and chattering-free implementation of sliding mode systems, in: Systems and Control Letters, 2010, vol. 59, n^o 5, pp. 284–295, doi:10.1016/j.sysconle.2010.03.002.
30V. Acary, B. Brogliato, D. Goeleven.

Higher order Moreau's sweeping process: mathematical formulation and numerical simulation, in: Mathematical Programming Ser. A, 2008, vol. 113, pp. 133-217.
31V. Acary, B. Brogliato, Y. Orlov.

Chattering-Free Digital Sliding-Mode Control With State Observer and Disturbance Rejection, in: IEEE Transactions on Automatic Control, may 2012, vol. 57, n^o 5, pp. 1087–1101.

http://dx.doi.org/10.1109/TAC.2011.2174676
32V. 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
33V. Acary, M. Brémond, T. Koziara, F. Pérignon.

FCLIB: a collection of discrete 3D Frictional Contact problems, Inria, February 2014, n^o RT-0444, 34 p.

https://hal.inria.fr/hal-00945820
34V. Acary, M. Brémond, O. Huber.

On solving contact problems with Coulomb friction: formulations and numerical comparisons, in: Advanced Topics in Nonsmooth Dynamics - Transactions of the European Network for Nonsmooth Dynamics, S. I. Publishing (editor), June 2018, pp. 375-457. [ DOI : 10.1007/978-3-319-75972-2_10 ]

https://hal.inria.fr/hal-01878539
35V. Acary, H. de Jong, B. Brogliato.

Numerical Simulation of Piecewise-Linear Models of Gene Regulatory Networks Using Complementarity Systems Theory, in: Physica D, January 2013, vol. 269, pp. 103–199.
36V. Acary, Y. Monerie.

Nonsmooth fracture dynamics using a cohesive zone approach, Inria, 2006, n^o RR-6032, 56 p.

http://hal.inria.fr/inria-00110560/en/
37S. Adly.

A Variational Approach to Nonsmooth Dynamics. Applications in Unilateral Mechanics and Electronics, SpringerBriefs in Mathematics, Springer Verlag, 2017.
38N. Akhadkar, V. Acary, B. Brogliato.

Multibody systems with 3D revolute joint clearance, modelling, numerical simulation and experimental validation: an industrial case study, in: Multibody System Dynamics, 2017.
39R. Alur, C. Courcoubetis, N. Halbwachs, T. Henzinger, P. Ho, X. Nicollin, A. Olivero, J. Sifakis, S. Yovine.

The algorithmic analysis of hybrid systems, in: Theoretical Computer Science, 1995, vol. 138, n^o 1, pp. 3–34.
40M. Arnold, O. Brüls, A. Cardona.

Error analysis of generalized- $α$ Lie group time integration methods for constrained mechanical systems, in: Numerische Mathematik, Jan 2015, vol. 129, n^o 1, pp. 149–179.

https://doi.org/10.1007/s00211-014-0633-1
41A. Beck, M. Teboulle.

A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems, in: SIAM Journal on Imaging Sciences, 2009, vol. 2, n^o 1, pp. 183-202. [ DOI : 10.1137/080716542 ]
42V. N. Biktashev, M. A. Tsyganov.

Solitary waves in excitable systems with cross-diffusion, in: Proc. R. Soc. A, 2005, vol. 461, pp. 3711-3730.
43F. Bourrier, F. Berger, P. Tardif, L. Dorren, O. Hungr.

Rockfall rebound: comparison of detailed field experiments and alternative modelling approaches, in: Earth Surface Processes and Landforms, 2012, vol. 37, n^o 6, pp. 656–665.

http://dx.doi.org/10.1002/esp.3202
44F. Bourrier, L. Dorren, F. Nicot, F. Berger, F. Darve.

Toward objective rockfall trajectory simulation using a stochastic impact model, in: Geomorphology, 2009, vol. 110, n^o 3, pp. 68–79. [ DOI : 10.1016/j.geomorph.2009.03.017 ]

http://www.sciencedirect.com/science/article/pii/S0169555X09001251
45B. Brogliato.

Nonsmooth mechanics, Communications and Control Engineering Series, Third, Springer, [Cham], 2016, xxii+629 p, Models, dynamics and control.

http://dx.doi.org/10.1007/978-3-319-28664-8
46B. Brogliato.

Feedback control of multibody systems with joint clearance and dynamic backlash: a tutorial, in: Multibody System Dynamics, Aug 2017.

https://doi.org/10.1007/s11044-017-9585-4
47B. Brogliato, A. Polyakov.

Globally stable implicit Euler time-discretization of a nonlinear single-input sliding-mode control system, in: 2015 54th IEEE Conference on Decision and Control (CDC), Dec 2015, pp. 5426-5431.

http://dx.doi.org/10.1109/CDC.2015.7403069
48B. Brogliato, A. Z. Rio.

On the control of complementary-slackness juggling mechanical systems, in: IEEE Transactions on Automatic Control, Feb 2000, vol. 45, n^o 2, pp. 235-246.

http://dx.doi.org/10.1109/9.839946
49B. Brogliato, L. Thibault.

Existence and uniqueness of solutions for non-autonomous complementarity dynamical systems, in: J. Convex Anal., 2010, vol. 17, n^o 3-4, pp. 961–990.
50O. Brüls, V. Acary, A. Cardona.

Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized- $α$ scheme, in: Computer Methods in Applied Mechanics and Engineering, November 2014, vol. 281, pp. 131-161. [ DOI : 10.1016/j.cma.2014.07.025 ]

http://hal.inria.fr/hal-01059823
51B. Caillaud.

Hybrid vs. nonsmooth dynamical systems, 2014, synchron, http://synchron2014.inria.fr/wp-content/uploads/sites/13/2014/12/Caillaud-nsds.pdf.
52G. Capobianco, S. R. Eugster.

Time finite element based Moreau‐type integrators, in: International Journal for Numerical Methods in Engineering, 2018, vol. 114, n^o 3, pp. 215-231.

https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.5741
53L. Carloni, R. Passerone, A. Pinto, A. Sangiovanni–Vicentelli.

Languages and tools for hybrid systems design, in: Foundations and Trends in Electronic Design Automation, 2006, vol. 1, n^o 1/2, pp. 1–193.
54Q. Z. Chen, V. Acary, G. Virlez, O. Brüls.

A nonsmooth generalized- $α$ scheme for flexible multibody systems with unilateral constraints, in: International Journal for Numerical Methods in Engineering, 2013, vol. 96, n^o 8, pp. 487–511.

http://dx.doi.org/10.1002/nme.4563
55R. W. Cottle, J. Pang, R. E. Stone.

The Linear Complementarity Problem, Academic Press, Inc., Boston, MA, 1992.
56L. Dorren, F. Berger, M. Jonsson, M. Krautblatter, M. Mölk, M. Stoffel, A. Wehrli.

State of the art in rockfall – forest interactions, in: Schweizerische Zeitschrift fur Forstwesen, 2007, vol. 158, n^o 6, pp. 128-141.

https://doi.org/10.3188/szf.2007.0128
57F. Dubois, V. Acary, M. Jean.

The Contact Dynamics method: A nonsmooth story , in: Comptes Rendus Mécanique, March 2018, vol. 346, n^o 3, pp. 247-262. [ DOI : 10.1016/j.crme.2017.12.009 ]

https://hal.archives-ouvertes.fr/hal-01676287
58S. Dupire, F. Bourrier, J.-M. Monnet, S. Bigot, L. Borgniet, F. Berger, T. Curt.

Novel quantitative indicators to characterize the protective effect of mountain forests against rockfall, in: Ecological Indicators, 2016, vol. 67, pp. 98–107. [ DOI : 10.1016/j.ecolind.2016.02.023 ]

http://www.sciencedirect.com/science/article/pii/S1470160X16300449
59F. Facchinei, J. S. Pang.

Finite-dimensional Variational Inequalities and Complementarity Problems, Springer Series in Operations Research, Springer Verlag NY. Inc., 2003, vol. I & II.
60A. F. Filippov.

Differential Equations with Discontinuous Right Hand Sides, Kluwer, Dordrecht, the Netherlands, 1988.
61M. P. Friedlander, D. Orban.

A primal–dual regularized interior-point method for convex quadratic programs, in: Mathematical Programming Computation, 2012, vol. 4, n^o 1, pp. 71–107.

http://dx.doi.org/10.1007/s12532-012-0035-2
62D. Goeleven.

Complementarity and Variational Inequalities in Electronics, Academic Press, 2017.
63S. Greenhalgh, V. Acary, B. Brogliato.

On preserving dissipativity properties of linear complementarity dynamical systems with the $θ$ -method, in: Numerische Mathematik, 2013, vol. 125, pp. 601–637.
64F. Génot, B. Brogliato.

New results on Painlevé Paradoxes, in: European Journal of Mechanics - A. solids, 1999, vol. 18, pp. 653-677.
65T. Henzinger.

The Theory of Hybrid Automata, in: Proceedings of the Eleventh Annual IEEE Symposium on Logic in Computer Science (LICS), 1996, pp. 278-292.
66J. Hiriart-Urruty, C. Lemaréchal.

Fundamentals of Convex Analysis, Springer Verlag, 2001.
67J. Hiriart-Urruty, C. Lemaréchal.

Convex Analysis and Minimization Algorithms, Springer Verlag, Berlin, 1993, vol. I and II.
68O. Huber, V. Acary, B. Brogliato.

Lyapunov stability and performance analysis of the implicit discrete sliding mode control, in: IEEE Transactions on Automatic Control, 2016, vol. 61, n^o 10, pp. 3016-3030, In press.
69O. Huber, V. Acary, B. Brogliato, F. Plestan.

Implicit discrete-time twisting controller without numerical chattering: analysis and experimental results, in: Control Engineering Practice, 2016, vol. 46, pp. 129–141.
70O. Huber, B. Brogliato, V. Acary, A. Boubakir, F. Plestan, B. Wang.

Experimental results on implicit and explicit time-discretization of equivalent-control-based sliding-mode control, in: Recent Trends in Sliding Mode Control, L. Fridman, J. Barbot, F. Plestan (editors), IET, 2016.

https://hal.inria.fr/hal-01238120
71G. James.

Periodic travelling waves and compactons in granular chains, in: J. Nonlinear Sci., 2012, vol. 22, pp. 813-848.
72G. James, P. G. Kevrekidis, J. Cuevas.

Breathers in oscillator chains with Hertzian interactions, in: Physica D, 2013, vol. 251, pp. 39–59.
73M. Jean, V. Acary, Y. Monerie.

Non Smooth Contact dynamics approach of cohesive materials, in: Philisophical Transactions : Mathematical, Physical & Engineering Sciences, The Royal Society, London A, 2001, vol. A359, n^o 1789, pp. 2497–2518.
74G. Kerschen, M. Peeters, J. Golinval, A. Vakakis.

Nonlinear normal modes, Part I: A useful framework for the structural dynamicist, in: Mechanical Systems and Signal Processing, 2009, vol. 23, n^o 1, pp. 170–194, Special Issue: Non-linear Structural Dynamics. [ DOI : 10.1016/j.ymssp.2008.04.002 ]

http://www.sciencedirect.com/science/article/pii/S0888327008001015
75R. Leine.

Bifurcation in Discontinuous Mechanical Systems of Filippov-Type, Technische Universiteit Eindhoven, 2000.
76R. I. Leine, A. Schweizer, M. Christen, J. Glover, P. Bartelt, W. Gerber.

Simulation of rockfall trajectories with consideration of rock shape, in: Multibody System Dynamics, Aug 2014, vol. 32, n^o 2, pp. 241–271.

https://doi.org/10.1007/s11044-013-9393-4
77R. Leine, N. van de Wouw.

Stability and Convergence of Mechanical Systems with Unilateral Constraints, Lecture Notes in Applied and Computational Mechanics, Springer Verlag, 2008, vol. 36.
78L. Liu, G. James, P. Kevrekidis, A. Vainchtein.

Nonlinear waves in a strongly resonant granular chain, in: Nonlinearity, 2016, pp. 3496-3527.
79F. A. Miranda-Villatoro, B. Brogliato, F. Castanos.

Multivalued Robust Tracking Control of Lagrange Systems: Continuous and Discrete–Time Algorithms, in: IEEE Transactions on Automatic Control, 2017, vol. PP, n^o 99, 1 p.

http://dx.doi.org/10.1109/TAC.2017.2662804
80J. E. Morales, G. James, A. Tonnelier.

Solitary waves in the excitable Burridge-Knopoff model, Inria Grenoble - Rhône-Alpes, December 2016, n^o RR-8996, To appear in Wave Motion.

https://hal.inria.fr/hal-01411897
81J. E. Morales, G. James, A. Tonnelier.

Traveling waves in a spring-block chain sliding down a slope, in: Phys. Rev. E 96, 2017, vol. 96, n^o 012227.
82Y. Nesterov.

A method of solving a convex programming problem with convergence rate $O (1 / k^{2})$ , in: Soviet Mathematics Doklady, 1983, vol. 27, n^o 2, pp. 372–376.
83N. Nguyen, B. Brogliato.

Multiple Impacts in Dissipative Granular Chains, Lecture Notes in Applied and Computational Mechanics, Springer Verlag, 2014, vol. 72, XXII, 234 p. 109 illus..
84F. Z. Nqi, M. Schatzman.

Computation of Lyapunov Exponents for dynamical system with impact, in: Applied Mathematial Sciences, 2010, vol. 4, n^o 5, pp. 237–252.
85M. Porter, P. Kevrekidis, C. Daraio.

Granular crystals: Nonlinear dynamics meets materials engineering, in: Physics Today, 2015, vol. 68, n^o 44.
86R. Rockafellar.

Convex Analysis, Princeton University Press, 1970.
87T. Schindler, V. Acary.

Timestepping schemes for nonsmooth dynamics based on discontinuous Galerkin methods: Definition and outlook, in: Mathematics and Computers in Simulation, 2013, vol. 95, pp. 180–199. [ DOI : 10.1016/j.matcom.2012.04.012 ]

http://www.sciencedirect.com/science/article/pii/S0378475412001231
88T. Schindler, S. Rezaei, J. Kursawe, V. Acary.

Half-explicit timestepping schemes on velocity level based on time-discontinuous Galerkin methods, in: Computer methods in Applied Mechanics in Engineering, 2015, vol. 290, n^o 15, pp. 250–276.
89C. Studer.

Numerics of Unilateral Contacts and Friction. – Modeling and Numerical Time Integration in Non-Smooth Dynamics, Lecture Notes in Applied and Computational Mechanics, Springer Verlag, 2009, vol. 47.
90A. Tonnelier.

McKean caricature of the FitzHugh-Nagumo model: traveling pulses in a discrete diffusive medium, in: Phys. Rev. E, 2003, vol. 67, n^o 036105.
91A. Vieira, B. Brogliato, C. Prieur.

Optimal control of linear complementarity systems, in: IFAC World Congress on Automatic Control, Toulouse, France, 2017.
92B. Wang, B. Brogliato, V. Acary, A. Boubakir, F. Plestan.

Experimental comparisons between implicit and explicit implementations of discrete-time sliding mode controllers: towards input and output chattering suppression, in: IEEE Transactions on Control Systems Technology, 2015, vol. 23, n^o 5, pp. 2071–2075.
93M. di Bernardo, C. Budd, A. Champneys, P. Kowalczyk.

Piecewise-smooth dynamical systems : theory and applications, Applied mathematical sciences, Springer, London, 2008.

http://opac.inria.fr/record=b1122347

Previous |

Home