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 ]
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• 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 ]
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• 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.
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• 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.
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• 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.
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• 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.
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• 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.
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  Error analysis of generalized-$\alpha$ Lie group time integration methods for constrained mechanical systems, in: Numerische Mathematik, Jan 2015, vol. 129, n^o 1, pp. 149–179.
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• 42V. N. Biktashev, M. A. Tsyganov.
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• 43F. Bourrier, F. Berger, P. Tardif, L. Dorren, O. Hungr.
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• 44F. Bourrier, L. Dorren, F. Nicot, F. Berger, F. Darve.
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• 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-$\alpha$ 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.
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• 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-$\alpha$ 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.
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• 56L. Dorren, F. Berger, M. Jonsson, M. Krautblatter, M. Mölk, M. Stoffel, A. Wehrli.
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  https://doi.org/10.3188/szf.2007.0128
• 57F. Dubois, V. Acary, M. Jean.
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  https://hal.archives-ouvertes.fr/hal-01676287
• 58S. Dupire, F. Bourrier, J.-M. Monnet, S. Bigot, L. Borgniet, F. Berger, T. Curt.
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• 60A. F. Filippov.
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• 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 $\theta$-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.
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• 66J. Hiriart-Urruty, C. Lemaréchal.
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• 67J. Hiriart-Urruty, C. Lemaréchal.
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• 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.
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• 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.
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• 71G. James.
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• 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.
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• 79F. A. Miranda-Villatoro, B. Brogliato, F. Castanos.
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• 81J. E. Morales, G. James, A. Tonnelier.
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• 83N. Nguyen, B. Brogliato.
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• 84F. Z. Nqi, M. Schatzman.
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• 86R. Rockafellar.
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• 87T. Schindler, V. Acary.
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