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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.
  • 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

Articles in International Peer-Reviewed Journals

  • 10A. Aftalion, J. F. Bonnans.

    Optimization of running strategies based on anaerobic energy and variations of velocity, in: SIAM Journal of Applied Mathematics, October 2014, vol. 74, no 5, pp. 1615-1636.

    https://hal.inria.fr/hal-00851182
  • 11K. Barty, J. F. Bonnans, L. Pfeiffer.

    Sensitivity analysis for the outages of nuclear power plants, in: Energy Systems, June 2014, vol. 5, no 2, pp. 371-406. [ DOI : 10.1007/s12667-013-0096-y ]

    https://hal.inria.fr/hal-00671186
  • 12T. Bayen, J. F. Bonnans, F. J. Silva.

    Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations, in: Transactions American Mathematical Society, April 2014, vol. 366, no 4, pp. 2063–2087. [ DOI : 10.1090/S0002-9947-2013-05961-2 ]

    https://hal.inria.fr/inria-00632308
  • 13T. Bayen, F. Mairet, P. Martinon, M. Sebbah.

    Analysis of a periodic optimal control problem connected to microalgae anaerobic digestion, in: Optimal Control Applications and Methods, June 2014, 24 p. [ DOI : 10.1002/oca.2127 ]

    https://hal.archives-ouvertes.fr/hal-00860570
  • 14O. Bokanowski, A. Picarelli, H. Zidani.

    Dynamic Programming and Error Estimates for Stochastic Control Problems with Maximum Cost, in: Applied Mathematics and Optimization, 2014. [ DOI : 10.1007/s00245-014-9255-3 ]

    https://hal.inria.fr/hal-00931025
  • 15J. F. Bonnans.

    Optimal control of a semilinear parabolic equation with singular arcs, in: Optimization, Methods and Software, September 2014, vol. 29, no 2, pp. 964-978. [ DOI : 10.1080/10556788.2013.830220 ]

    https://hal.inria.fr/hal-00740698
  • 16J. F. Bonnans, X. Dupuis, L. Pfeiffer.

    Second-order necessary conditions in Pontryagin form for optimal control problems, in: SIAM Journal on Control and Optimization, 2014, vol. 52, no 6, pp. 3887-3916. [ DOI : 10.1137/130923452 ]

    https://hal.inria.fr/hal-00825273
  • 17J. F. Bonnans, X. Dupuis, L. Pfeiffer.

    Second-order sufficient conditions for strong solutions to optimal control problems, in: ESAIM: Control, Optimisation and Calculus of Variations, March 2014, vol. 20, no 03, pp. 704-724. [ DOI : 10.1051/cocv/2013080 ]

    https://hal.inria.fr/hal-00825260
  • 18B. Bonnard, M. Claeys, O. Cots, P. Martinon.

    Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance, in: Acta Applicandae Mathematicae, June 2014, 43 p. [ DOI : 10.1007/s10440-014-9947-3 ]

    https://hal.inria.fr/hal-00867753
  • 19X. Dupuis.

    Optimal control of leukemic cell population dynamics, in: Mathematical Modeling for Natural Phenomena, 2014, vol. 9, no 1, pp. 4-26. [ DOI : 10.1051/mmnp/20149102 ]

    https://hal.inria.fr/hal-00858208
  • 20R. Ferretti, H. Zidani.

    Monotone numerical schemes and feedback construction for hybrid control systems, in: Journal of Optimization Theory and Applications, 2014. [ DOI : 10.1007/s10957-014-0637-0 ]

    https://hal.inria.fr/hal-00989492
  • 21G. Granato, H. Zidani.

    Level-set approach for Reachability Analysis of Hybrid Systems under Lag Constraints, in: SIAM Journal on Control and Optimization, 2014, vol. 52, no 1, pp. 606–628. [ DOI : 10.1137/120874205 ]

    https://hal.inria.fr/hal-00735724
  • 22L. Grüne, H. Zidani.

    Zubov's equation for state-constrained perturbed nonlinear systems, in: Mathematical Control and Related Fields, 2014.

    https://hal.inria.fr/hal-00931028
  • 23C. Hermosilla, H. Zidani.

    Infinite horizon problems on stratifiable state-constraints sets, in: Journal of Differential Equations, February 2015, vol. 258, no 4, pp. 1430–1460. [ DOI : 10.1016/j.jde.2014.11.001 ]

    https://hal.inria.fr/hal-00955921
  • 24A. Kröner, K. Kunisch.

    A minimum effort optimal control problem for the wave equation, in: Computational Optimization and Applications, January 2014, vol. 57, no 1, pp. 241-270.

    https://hal.archives-ouvertes.fr/hal-01089336
  • 25A. Kröner, K. Kunisch, H. Zidani.

    Optimal feedback control of undamped wave equations by solving a HJB equation, in: ESAIM: Control, Optimisation and Calculus of Variations, 2014, pp. 1–25.

    https://hal.archives-ouvertes.fr/hal-00924089
  • 26R. Muñoz-Tamayo, P. Martinon, G. Bougaran, F. Mairet, O. Bernard.

    Getting the most out of it: optimal experiments for parameter estimation of microalgae growth models, in: Journal of Process Control, May 2014, pp. 991-1001. [ DOI : 10.1016/j.jprocont.2014.04.021 ]

    https://hal.inria.fr/hal-00998525
  • 27Z. Rao, A. Siconolfi, H. Zidani.

    Transmission conditions on interfaces for Hamilton-Jacobi-Bellman equations, in: Journal of Differential Equations, 2014, vol. 257, no 11, pp. 3978–4014. [ DOI : 10.1016/j.jde.2014.07.015 ]

    https://hal.inria.fr/hal-00820273

Invited Conferences

  • 28A. Kröner, D. Kalise, M. Falcone.

    A semi-Lagrangian scheme for Lp-penalized minimum time problems, in: 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, Netherlands, July 2014, pp. 1798-1803.

    https://hal.archives-ouvertes.fr/hal-01089877

International Conferences with Proceedings

  • 29A. Kröner, D. Kalise.

    Reduced-order minimum time control of advection-reaction-diffusion systems via dynamic programming, in: 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, France, July 2014, pp. 1196-1202.

    https://hal.archives-ouvertes.fr/hal-01089887

Internal Reports

  • 30J. F. Bonnans, A. Festa.

    Error estimates for the Euler discretization of an optimal control problem with first-order state constraints, Inria Saclay, December 2014.

    https://hal.inria.fr/hal-01093229

Patents

  • 31G. Granato, J. F. Bonnans, K. Aouchiche, R. Grégory, H. Zidani.

    Energy management method for an electric vehicle, November 2014, no US Patent 20,140,350,763 2014.

    https://hal.inria.fr/hal-01090084

Other Publications

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    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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    Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance, 2013.

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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.
  • 71L. Giraldi, P. Martinon, M. Zoppello.

    Controllability and Optimal Strokes for N-link Micro-swimmer, 2013.

    https://hal.archives-ouvertes.fr/hal-00798363
  • 72L. Giraldi, P. Martinon, M. Zoppello.

    Optimal Design for Purcell Three-link Swimmer, September 2014.

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    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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    A semi-Lagrangian scheme for Lp-penalized minimum time problems, in: 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, Netherlands, July 2014, pp. 1798-1803.

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  • 79A. Kröner, D. Kalise.

    Reduced-order minimum time control of advection-reaction-diffusion systems via dynamic programming. , in: 21st International Symposium on Mathematical Theory of Networks and Systems, Groningen, France, July 2014, pp. 1196-1202.

    https://hal.archives-ouvertes.fr/hal-01089887
  • 80A. Kröner, K. Kunisch.

    A minimum effort optimal control problem for the wave equation., in: Computational Optimization and Applications, January 2014, vol. 57, no 1, pp. 241-270.

    https://hal.archives-ouvertes.fr/hal-01089336
  • 81A. Kröner, S. S. Rodrigues.

    Internal exponential stabilization to a nonstationary solution for 1D Burgers equations with piecewise constant controls, December 2014.

    https://hal.archives-ouvertes.fr/hal-01089896
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    Remarks on the internal exponential stabilization to a nonstationary solution for 1D Burgers equations, December 2014.

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