Bibliography

Articles in International Peer-Reviewed Journals

• 1M. S. Aronna, J. F. Bonnans, A. Kröner.
  
  Optimal control of PDEs in a complex space setting; application to the Schrödinger equation, in: SIAM Journal on Control and Optimization, 2019, vol. 57, n^o 2, pp. 1390-1412. [ DOI : 10.1137/17M1117653 ]
  
  https://hal.archives-ouvertes.fr/hal-01311421
• 2J. F. Bonnans, J. Gianatti, F. Silva.
  
  On the time discretization of stochastic optimal control problems: the dynamic programming approach, in: ESAIM: Control, Optimisation and Calculus of Variations, October 2019. [ DOI : 10.1051/cocv/2018045 ]
  
  https://hal.inria.fr/hal-01474285
• 3J. F. Bonnans, S. Hadikhanloo, L. Pfeiffer.
  
  Schauder Estimates for a Class of Potential Mean Field Games of Controls, in: Applied Mathematics and Optimization, July 2019, 34 p.
  
  https://hal.inria.fr/hal-02048437
• 4T. Breiten, K. Kunisch, L. Pfeiffer.
  
  Feedback Stabilization of the Two-Dimensional Navier–Stokes Equations by Value Function Approximation, in: Applied Mathematics and Optimization, December 2019, vol. 80, n^o 3, pp. 599-641. [ DOI : 10.1007/s00245-019-09586-x ]
  
  https://hal.archives-ouvertes.fr/hal-02372083
• 5T. Breiten, K. Kunisch, L. Pfeiffer.
  
  Taylor expansions of the value function associated with a bilinear optimal control problem, in: Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, August 2019, vol. 36, n^o 5, pp. 1361-1399. [ DOI : 10.1016/j.anihpc.2019.01.001 ]
  
  https://hal.archives-ouvertes.fr/hal-02372091
• 6K. Kunisch, L. Pfeiffer.
  
  The effect of the terminal penalty in receding horizon control for a class of stabilization problems, in: ESAIM: Control, Optimisation and Calculus of Variations, 2019, forthcoming.
  
  https://hal.archives-ouvertes.fr/hal-02372077
• 7A. Le Rhun, J. F. Bonnans, G. De Nunzio, T. Leroy, P. Martinon.
  
  A stochastic data-based traffic model applied to vehicles energy consumption estimation, in: IEEE Transactions on Intelligent Transportation Systems, 2019, forthcoming. [ DOI : 10.1109/TITS.2019.2923292 ]
  
  https://hal.inria.fr/hal-01774621
• 8C. Rommel, J. F. Bonnans, P. Martinon, B. Gregorutti.
  
  Gaussian Mixture Penalty for Trajectory Optimization Problems, in: Journal of Guidance, Control, and Dynamics, August 2019, vol. 42, n^o 8, pp. 1857–1862. [ DOI : 10.2514/1.G003996 ]
  
  https://hal.inria.fr/hal-01819749

Other Publications

• 9J. F. Bonnans, G. Bonnet, J.-M. Mirebeau.
  
  Monotone and second order consistent schemes for the Pucci and Monge-Ampere equations, November 2019, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-02383521
• 10J. F. Bonnans, J. Gianatti.
  
  Optimal Control of an Age-Structured System with State Constraints, June 2019, working paper or preprint.
  
  https://hal.inria.fr/hal-02164310
• 11A. Le Rhun, J. F. Bonnans, G. De Nunzio, T. Leroy, P. Martinon.
  
  A bi-level energy management strategy for HEVs under probabilistic traffic conditions, September 2019, working paper or preprint.
  
  https://hal.inria.fr/hal-02278359
• 12A. Le Rhun, J. F. Bonnans, G. De Nunzio, T. Leroy, P. Martinon.
  
  An Eco-routing algorithm for HEVs under traffic conditions, November 2019, working paper or preprint.
  
  https://hal.inria.fr/hal-02356277

• 13M. Bardi, I. Capuzzo-Dolcetta.
  
  Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations, Systems and Control: Foundations and Applications, Birkhäuser, Boston, 1997.
• 14G. Barles.
  
  Solutions de viscosité des équations de Hamilton-Jacobi, Mathématiques et Applications, Springer, Paris, 1994, vol. 17.
• 15T. 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, 2014. [ DOI : 10.1002/oca.2127 ]
  
  https://hal.archives-ouvertes.fr/hal-00860570
• 16G. Bliss.
  
  Lectures on the Calculus of Variations, University of Chicago Press, Chicago, Illinois, 1946.
• 17J. F. Bonnans, J. Laurent-Varin.
  
  Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control, in: Numerische Mathematik, 2006, vol. 103, n^o 1, pp. 1–10.
• 18J. 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.
• 19J. 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.
• 20A. E. Bryson, Y.-C. Ho.
  
  Applied optimal control, Hemisphere Publishing, New-York, 1975.
• 21M. Crandall, P. Lions.
  
  Viscosity solutions of Hamilton Jacobi equations, in: Bull. American Mathematical Society, 1983, vol. 277, pp. 1–42.
• 22W. Hager.
  
  Runge-Kutta methods in optimal control and the transformed adjoint system, in: Numerische Mathematik, 2000, vol. 87, n^o 2, pp. 247–282.
• 23A. Ioffe, V. Tihomirov.
  
  Theory of Extremal Problems, North-Holland Publishing Company, Amsterdam, 1979, Russian Edition: Nauka, Moscow, 1974.
• 24J.-L. Lagrange.
  
  Mécanique analytique, Paris, 1788, reprinted by J. Gabay, 1989.
• 25E. Lee, L. Markus.
  
  Foundations of optimal control theory, John Wiley, New York, 1967.
• 26G. Leitmann.
  
  An introduction to optimal control, Mc Graw Hill, New York, 1966.
• 27R. 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, 2014, vol. 24, n^o 6, pp. 991 - 1001. [ DOI : 10.1016/j.jprocont.2014.04.021 ]
  
  http://www.sciencedirect.com/science/article/pii/S095915241400122X
• 28L. Pontryagin, V. Boltyanski, R. Gamkrelidze, E. Michtchenko.
  
  The Mathematical Theory of Optimal Processes, Wiley Interscience, New York, 1962.
• 29L. Young.
  
  Lectures on the calculus of variations and optimal control theory, W. B. Saunders Co., Philadelphia, 1969.