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, n^o 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, n^o 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, n^o 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, n^o 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, n^o 1, pp. 51-55.

Publications of the year

Doctoral Dissertations and Habilitation Theses

• 10C. Hermosilla.
  Optimal control problems on well-structured domains and stratified feedback controls, ENSTA ParisTech, February 2015.
  https://hal.inria.fr/tel-01128691
• 11A. Picarelli.
  On some stochastic control problems with state constraints, ENSTA ParisTech, April 2015.
  https://pastel.archives-ouvertes.fr/tel-01145588

Articles in International Peer-Reviewed Journals

• 12T. 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, November 2015, 24 p. [ DOI : 10.1002/oca.2127 ]
  https://hal.archives-ouvertes.fr/hal-00860570
• 13I. Ben Latifa, J. F. Bonnans, M. Mnif.
  A General Optimal Multiple Stopping Problem with an Application to Swing Options, in: Stochastic Analysis and Applications, June 2015, vol. 33, 25 p. [ DOI : 10.1080/07362994.2015.1037592 ]
  https://hal.inria.fr/hal-01248283
• 14I. Ben Latifa, J. F. Bonnans, M. Mnif.
  Numerical methods for an optimal multiple stopping problem, in: Stochastics and Dynamics, September 2015, vol. 16, n^o 4, 27 p. [ DOI : 10.1142/S0219493716500167 ]
  https://hal.inria.fr/hal-01248282
• 15O. Bokanowski, A. Picarelli, H. Zidani.
  Dynamic Programming and Error Estimates for Stochastic Control Problems with Maximum Cost, in: Applied Mathematics and Optimization, 2015, vol. 71, n^o 1, pp. 125–163. [ DOI : 10.1007/s00245-014-9255-3 ]
  https://hal.inria.fr/hal-00931025
• 16B. Bonnard, M. Claeys, O. Cots, P. Martinon.
  Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance, in: Acta Applicandae Mathematicae, February 2015, vol. 135, n^o 1, pp. 5-45. [ DOI : 10.1007/s10440-014-9947-3 ]
  https://hal.inria.fr/hal-00867753
• 17P. Cardaliaguet, P. J. Graber.
  Mean field games systems of first order, in: ESAIM - Control Optimisation and Calculus of Variations, 2015, vol. 21, n^o 3, pp. 690–722.
  https://hal.archives-ouvertes.fr/hal-00925905
• 18P. Cardaliaguet, J. Graber, A. Porretta, D. Tonon.
  Second order mean field games with degenerate diffusion and local coupling, in: NoDEA. Nonlinear Differential Equations and Applications, 2015, vol. 22, n^o 5, pp. 1287-1317.
  https://hal.archives-ouvertes.fr/hal-01049834
• 19R. Ferretti, H. Zidani.
  Monotone numerical schemes and feedback construction for hybrid control systems, in: Journal of Optimization Theory and Applications, 2015, vol. 165, n^o 2, pp. 507-531. [ DOI : 10.1007/s10957-014-0637-0 ]
  https://hal.inria.fr/hal-00989492
• 20L. Giraldi, P. Martinon, M. Zoppello.
  Optimal Design for Purcell Three-link Swimmer, in: Physical Review, February 2015, vol. 91, n^o 2, 023012.
  https://hal.archives-ouvertes.fr/hal-01098501
• 21L. Grüne, H. Zidani.
  Zubov's equation for state-constrained perturbed nonlinear systems, in: Mathematical Control and Related Fields, 2015, vol. 5, n^o 1, pp. 55-71. [ DOI : 10.3934/mcrf.2015.5.55 ]
  https://hal.inria.fr/hal-00931028
• 22C. Hermosilla, H. Zidani.
  Infinite horizon problems on stratifiable state-constraints sets, in: Journal of Differential Equations, February 2015, vol. 258, n^o 4, pp. 1430–1460. [ DOI : 10.1016/j.jde.2014.11.001 ]
  https://hal.inria.fr/hal-00955921
• 23A. Kröner, S. S. Rodrigues.
  Remarks on the internal exponential stabilization to a nonstationary solution for 1D Burgers equations, in: SIAM Journal on Control and Optimization, 2015, vol. 53, n^o 2, pp. 1020–1055.
  https://hal.archives-ouvertes.fr/hal-01089893

Conferences without Proceedings

• 24A. Kröner, S. S. Rodrigues.
  Internal exponential stabilization to a nonstationary solution for 1D Burgers equations with piecewise constant controls, in: Control Conference (ECC), 2015 European, Linz, Austria, July 2015, pp. 2676-2681. [ DOI : 10.1109/ECC.2015.7330942 ]
  https://hal.archives-ouvertes.fr/hal-01089896

Internal Reports

• 25J. F. Bonnans.
  Second order Pontryagin's principle for stochastic control problems, Inria Saclay Ile de France, September 2015, 19 p.
  https://hal.inria.fr/hal-01205854
• 26I. Cadena Guaqueta.
  Theoretical and Numerical Study of the Problem of Abort Landing in the Presence of Windshear, Inria Saclay - Equipe Commands ; Ecole Centrale Paris - Laboratoire MAS, March 2015.
  https://hal.inria.fr/hal-01136701
• 27J. Garcke, A. Kröner.
  Suboptimal feedback control of PDEs by solving HJB equations on adaptive sparse grids, Inria Saclay, 2015.
  https://hal.archives-ouvertes.fr/hal-01185912
• 28D. Kalise, A. Kröner, K. Kunisch.
  Local minimization algorithms for dynamic programming equations, Inria Saclay, 2015.
  https://hal.archives-ouvertes.fr/hal-01120450
• 29A. Kröner, E. Kröner, H. Kröner.
  Numerical approximation of level set power mean curvature flow, Inria Saclay, 2015.
  https://hal-ensta.archives-ouvertes.fr/hal-01138347

Scientific Popularization

• 30J. F. Bonnans.
  Commande optimale , May 2015, 29 p, Article pour l'encyclopédie des sciences de l'ingénieur.
  https://hal.inria.fr/hal-01247050

Other Publications

• 31P. Bettiol, B. Bonnard, L. Giraldi, P. Martinon, J. Rouot.
  The Purcell Three-link swimmer: some geometric and numerical aspects related to periodic optimal controls, October 2015, working paper or preprint.
  https://hal.inria.fr/hal-01143763
• 32F. J. Bonnans, J. Gianatti, F. J. Silva.
  On the convergence of the Sakawa-Shindo algorithm in stochastic control, December 2015, working paper or preprint.
  https://hal-unilim.archives-ouvertes.fr/hal-01148272
• 33B. Heymann, J. F. Bonnans, P. Martinon, F. Silva, F. Lanas, G. Jimenez.
  Continuous Optimal Control Approaches to Microgrid Energy Management, March 2015, working paper or preprint.
  https://hal.inria.fr/hal-01129393

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