Project-Team Commands
Members
Overall Objectives
Research Program
Software and Platforms
New Results
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
Dissemination
Bibliography
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Bibliography

Major publications by the team in recent years
  • 1O. Bokanowski, B. Bruder, S. Maroso, H. Zidani.
    Numerical approximation for a superreplication problem under gamma constraints, in: SIAM. Num. Analysis., 2009, vol. 47(3), pp. 2289–2320.
  • 2O. Bokanowski, N. Megdich, H. Zidani.
    Convergence of a non-monotone scheme for Hamilton-Jacobi-Bellman equations with discontinuous data, in: Numerische Mathematik / Numerical Mathematics, 2010, vol. 115, no 1, pp. 1–44.
    http://hal.inria.fr/inria-00193157
  • 3J. F. Bonnans, J. C. Gilbert, C. Lemaréchal, C. Sagastizábal.
    Numerical Optimization: theoretical and numerical aspects, Universitext, Springer-Verlag, Berlin, 2006, second edition.
  • 4J. F. Bonnans, S. Maroso, H. Zidani.
    Error estimates for a stochastic impulse control problem, in: Appl. Math. and Optim., 2007, vol. 55, no 3, pp. 327–357.
  • 5J. F. Bonnans, A. Shapiro.
    Perturbation analysis of optimization problems, Springer-Verlag, New York, 2000.
  • 6J. F. Bonnans, H. Zidani.
    Consistency of generalized finite difference schemes for the stochastic HJB equation, in: SIAM J. Numerical Analysis, 2003, vol. 41, pp. 1008-1021.
  • 7N. Bérend, J. F. Bonnans, J. Laurent-Varin, M. Haddou, C. Talbot.
    An Interior-Point Approach to Trajectory Optimization, in: J. Guidance, Control and Dynamics, 2007, vol. 30, no 5, pp. 1228-1238.
  • 8J. Gergaud, P. Martinon.
    Using switching detection and variational equations for the shooting method, in: Optimal Control Applications and Methods, 2007, vol. 28, no 2, pp. 95–116.
  • 9P. Martinon, J. F. Bonnans, J. Laurent-Varin, E. Trélat.
    Numerical study of optimal trajectories with singular arcs for an Ariane 5 launcher, in: J. Guidance, Control, and Dynamics, 2009, vol. 32, no 1, pp. 51-55.
Publications of the year

Doctoral Dissertations and Habilitation Theses

  • 10X. Dupuis.
    Contrôle optimal d'équations différentielles avec - ou sans - mémoire, Ecole Polytechnique X, November 2013.
    http://hal.inria.fr/tel-00914246
  • 11L. Pfeiffer.
    Analyse de sensibilité pour des problèmes de commande optimale. Commande optimale stochastique sous contrainte en probabilité, Ecole Polytechnique X, November 2013.
    http://hal.inria.fr/pastel-00881119
  • 12Z. Rao.
    L'approche Hamilton-Jacobi-Bellman pour des problèmes de contrôle optimal avec des coefficients discontinus, Ecole Polytechnique X, December 2013.
    http://hal.inria.fr/pastel-00927358

Articles in International Peer-Reviewed Journals

  • 13A. Altarovici, O. Bokanowski, H. Zidani.
    A general Hamilton-Jacobi framework for nonlinear state-constrained control problems, in: ESAIM: Control, Optimisation and Calculus of Variations, 2013, vol. 19, no 2, pp. 337–357. [ DOI : 10.1051/cocv/2012011 ]
    http://hal.inria.fr/hal-00653337
  • 14M. S. Aronna, J. F. Bonnans, P. Martinon.
    A Shooting Algorithm for Optimal Control Problems with Singular Arcs, in: Journal of Optimization Theory and Applications, August 2013, vol. 158, no 2, pp. 419-459. [ DOI : 10.1007/s10957-012-0254-8 ]
    http://hal.inria.fr/inria-00631332
  • 15O. Bokanowski, Y. Cheng, C.-W. Shu.
    A discontinuous Galerkin scheme for front propagation with obstacles, in: Numerische Mathematik, June 2013. [ DOI : 10.1007/s00211-013-0555-3 ]
    http://hal.inria.fr/hal-00653532
  • 16J. F. Bonnans.
    Optimal control of a semilinear parabolic equation with singular arcs, in: Optimization, Methods and Software, August 2013, 14 p. [ DOI : 10.1080/10556788.2013.830220 ]
    http://hal.inria.fr/hal-00740698
  • 17J. F. Bonnans, C. De La Vega, X. Dupuis.
    First and second order optimality conditions for optimal control problems of state constrained integral equations, in: Journal of Optimization Theory and Applications, 2013, vol. 159, no 1, pp. 1-40. [ DOI : 10.1007/s10957-013-0299-3 ]
    http://hal.inria.fr/hal-00697504
  • 18J. F. Bonnans, L. Pfeiffer, O. S. Serea.
    Sensitivity analysis for relaxed optimal control problems with final-state constraints, in: Nonlinear Analysis: Theory, Methods & Applications, September 2013, vol. 89, pp. 55-80. [ DOI : 10.1016/j.na.2013.04.013 ]
    http://hal.inria.fr/hal-00702246
  • 19J. F. Bonnans, X. Tan.
    A model-free no-arbitrage price bound for variance options, in: Applied Mathematics and Optimization, July 2013, vol. 68, no 1, pp. 43-73. [ DOI : 10.1007/s00245-013-9197-1 ]
    http://hal.inria.fr/inria-00634387
  • 20N. Forcadel, Z. Rao, H. Zidani.
    State-constrained Optimal Control Problems of Impulsive Differential Equations, in: Applied Mathematics and Optimization, 2013. [ DOI : 10.1007/s00245-013-9193-5 ]
    http://hal.inria.fr/hal-00653671
  • 21G. Granato, H. Zidani.
    Level-set approach for Reachability Analysis of Hybrid Systems under Lag Constraints, in: SIAM Journal on Control and Optimization, 2014.
    http://hal.inria.fr/hal-00735724
  • 22C. Imbert, R. Monneau, H. Zidani.
    A Hamilton-Jacobi approach to junction problems and application to traffic flows, in: ESAIM - Control Optimisation and Calculus of Variations, 2013, vol. 19, no 01, pp. 129-166, This paper is dedicated to J.-B. Hiriart-Urruty. Note on v3: to appear in ESAIM: COCV. [ DOI : 10.1051/cocv/2012002 ]
    http://hal.inria.fr/hal-00569010

International Conferences with Proceedings

  • 23J. F. Bonnans.
    Singular arcs in the optimal control of a parabolic equation, in: 13th European Control Conference, Zurich, Switzerland, July 2013.
    http://hal.inria.fr/hal-00845704
  • 24J. F. Bonnans.
    The shooting approach to optimal control problems, in: IFAC International Workshop on Adaptation and Learning in Control and Signal Processing, Caen, France, F. Giri, V. van Assche (editors), IFAC, July 2013, pp. 281-292. [ DOI : 10.3182/20130703-3-FR-4038.00158 ]
    http://hal.inria.fr/hal-00830896
  • 25B. Bonnard, M. Claeys, O. Cots, P. Martinon.
    Comparison of Numerical Methods in the Contrast Imaging Problem in NMR, in: 52nd IEEE Conference on Decision and Control, Firenze, Italy, December 2013.
    http://hal.inria.fr/hal-00800436
  • 26A. Festa, R. Vinter.
    A decomposition technique for pursuit evasion games with many pursuers, in: 52nd IEEE Control and Decision Conference (CDC), Florence, Italy, 2013, 7 p.
    http://hal.inria.fr/hal-00916864
  • 27R. Muñoz-Tamayo, P. Martinon, G. Bougaran, F. Mairet, O. Bernard.
    Design of Optimal Experiments for Parameter Estimation of Microalgae Growth Models, in: Computer Applied to Biotechnology, Mumbai, India, December 2013.
    http://hal.inria.fr/hal-00856749

Scientific Books (or Scientific Book chapters)

  • 28Z. Rao, H. Zidani.
    Hamilton-Jacobi-Bellman Equations on Multi-Domains, in: Control and Optimization with PDE Constraints, K. Bredies, C. Clason, K. Kunisch, G. von Winckel (editors), International Series of Numerical Mathematics, Springer, May 2013, vol. 164, pp. 93–116. [ DOI : 10.1007/978-3-0348-0631-2_6 ]
    http://hal.inria.fr/hal-00803108

Internal Reports

  • 29A. Aftalion, J. F. Bonnans.
    Optimization of running strategies based on anaerobic energy and variations of velocity, Inria, August 2013, no RR-8344, 22 p.
    http://hal.inria.fr/hal-00851182
  • 30T. Bayen, F. Mairet, P. Martinon, M. Sebbah.
    Optimizing the anaerobic digestion of microalgae in a coupled process, September 2013.
    http://hal.inria.fr/hal-00860570
  • 31J. F. Bonnans, X. Dupuis, L. Pfeiffer.
    Second-order necessary conditions in Pontryagin form for optimal control problems, Inria, May 2013, no RR-8306, 37 p.
    http://hal.inria.fr/hal-00825273
  • 32J. F. Bonnans, X. Dupuis, L. Pfeiffer.
    Second-order sufficient conditions for strong solutions to optimal control problems, Inria, May 2013, no RR-8307, 24 p.
    http://hal.inria.fr/hal-00825260
  • 33X. Dupuis.
    Optimal control of leukemic cell population dynamics, Inria, August 2013, no RR-8356, 25 p.
    http://hal.inria.fr/hal-00858208

Other Publications

References in notes
  • 44R. Abgrall.
    Numerical discretization of boundary conditions for first order Hamilton-Jacobi equations, in: SIAM J. Numerical Analysis, 2003, vol. 41, no 6, pp. 2233–2261.
  • 45R. Abgrall, S. Augoula.
    High order numerical discretization for Hamilton-Jacobi equations on triangular meshes, in: J. Scientific Computing, 2000, vol. 15, no 2, pp. 197–229.
  • 46M. S. Aronna, J. F. Bonnans, P. Martinon.
    A Shooting Algorithm for Optimal Control Problems with Singular Arcs, in: Journal of Optimization Theory and Applications, 2013, Inria Report RR-7763, 2011.
  • 47J. Aubin, H. Frankowska.
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    Well-Posedness of the Shooting Algorithm for State Constrained Optimal Control Problems with a Single Constraint and Control, in: SIAM J. Control Optimization, 2007, vol. 46, no 4, pp. 1398–1430.
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    Second-order Analysis for Optimal Control Problems with Pure State Constraints and Mixed Control-State Constraints, in: Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2009, vol. 26, no 2, pp. 561-598.
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    Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control, in: Numerische Mathematik, 2006, vol. 103, no 1, pp. 1–10.
  • 55F. J. Bonnans, P. Martinon, V. Grélard.
    Bocop - A collection of examples, Inria, August 2012, no RR-8053.
    http://hal.inria.fr/hal-00726992
  • 56J. F. Bonnans, E. Ottenwaelter, H. Zidani.
    Numerical schemes for the two dimensional second-order HJB equation, in: ESAIM: M2AN, 2004, vol. 38, pp. 723-735.
  • 57J. F. Bonnans, H. Zidani.
    Consistency of generalized finite difference schemes for the stochastic HJB equation, in: SIAM J. Numerical Analysis, 2003, vol. 41, pp. 1008-1021.
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    Contact discontinuity capturing schemes for linear advection and compressible gas dynamics, in: J. Sci. Comput., 2001, vol. 16, pp. 479-524.
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    A non-linear anti-diffusive scheme for the linear advection equation, in: C. R. Acad. Sci. Paris, Série I, Analyse numérique, 1999, vol. 328, pp. 939-944.
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    Convergence analysis for a class of high-order semi-Lagrangian advection schemes, in: SIAM J. Numer. Anal., 1998, vol. 35, no 3, pp. 909–940.
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    Using switching detection and variational equations for the shooting method, in: Optimal Control Applications and Methods, 2007, vol. 28, no 2, pp. 95–116.
  • 70W. Hager.
    Runge-Kutta methods in optimal control and the transformed adjoint system, in: Numerische Mathematik, 2000, vol. 87, no 2, pp. 247–282.
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