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Bibliography

Publications of the year

Doctoral Dissertations and Habilitation Theses

Articles in International Peer-Reviewed Journals

  • 3L. Barbet, M. Dambrine, A. Daniilidis, L. Rifford.

    Sard theorems for Lipschitz functions and applications in optimization, in: Israël Journal of Mathematics, 2016, vol. 212, no 2, pp. 757-790. [ DOI : 10.1007/s11856-016-1308-7 ]

    https://hal.archives-ouvertes.fr/hal-01336328
  • 4Z. Chen, J.-B. Caillau, Y. Chitour.

    L1-minimization for mechanical systems, in: SIAM Journal on Control and Optimization, May 2016, vol. 54, no 3, pp. 1245-1265. [ DOI : 10.1137/15M1013274 ]

    https://hal.archives-ouvertes.fr/hal-01136676
  • 5Z. Chen.

    L1-optimality conditions for the circular restricted three-body problem, in: Celestial Mechanics and Dynamical Astronomy, June 2016, vol. 126, no 4, pp. 461-481. [ DOI : 10.1007/s10569-016-9703-2 ]

    https://hal.archives-ouvertes.fr/hal-01402647
  • 6Z. Chen.

    Neighboring Optimal Control for Fixed-Time Multi-Burn Orbital Transfers, in: Aerospace Science and Technology, December 2016. [ DOI : 10.1016/j.ast.2016.11.021 ]

    https://hal.archives-ouvertes.fr/hal-01402650
  • 7Z. Chen.

    Optimality Conditions Applied to Free-Time Multiburn Optimal Orbital Transfers, in: Journal of Guidance, Control, and Dynamics, September 2016, vol. 39, no 11, pp. 2512-2521. [ DOI : 10.2514/1.G000284 ]

    https://hal.archives-ouvertes.fr/hal-01402640
  • 8L. Giraldi, J.-B. Pomet.

    Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer, in: IEEE Transactions on Automatic Control, August 2016, 16 p. [ DOI : 10.1109/TAC.2016.2600158 ]

    https://hal.archives-ouvertes.fr/hal-01145537
  • 9A. Lazrag, L. Rifford, R. Ruggiero.

    Franks' Lemma for C 2 Mane Perturbations of Riemannian Metrics and Applications to Persistence, in: Journal of modern dynamics, September 2016, vol. 10, pp. 379-411. [ DOI : 10.3934/jmd.2016.10.379 ]

    https://hal.archives-ouvertes.fr/hal-01111786
  • 10R. Mccann, L. Rifford.

    The intrinsic dynamics of optimal transport, in: Journal de l'École polytechnique — Mathématiques, 2016, vol. 3, pp. 67-98. [ DOI : 10.5802/jep.29 ]

    https://hal.archives-ouvertes.fr/hal-01336327

International Conferences with Proceedings

  • 11B. Bonnard, M. Chyba, J. Rouot, D. Takagi.

    A Numerical Approach to the Optimal Control and Efficiency of the Copepod Swimmer, in: 55th IEEE Conference on Decision and Control - CDC, Las Vegas, United States, December 2016.

    https://hal.inria.fr/hal-01286602
  • 12B. Bonnard, J.-C. Faugère, A. Jacquemard, M. Safey El Din, T. Verron.

    Determinantal sets, singularities and application to optimal control in medical imagery, in: International symposium on symbolic and algebraic computations, Waterloo, Canada, ACM, July 2016, pp. 103-110. [ DOI : 10.1145/2930889.2930916 ]

    https://hal.inria.fr/hal-01307073
  • 13B. Bonnard, A. Jacquemard, J. Rouot.

    Optimal Control of an Ensemble of Bloch Equations with Applications in MRI, in: 55th IEEE Conference on Decision and Control - CDC, Las Vegas, United States, December 2016.

    https://hal.inria.fr/hal-01287290
  • 14F. Nicolau, W. Respondek.

    Flatness of two-input control-affine systems linearizable via a two-fold prolongation, in: 55th IEEE Conference on Decision and Control, Las Vegas, NV, United States, December 2016.

    https://hal.archives-ouvertes.fr/hal-01351615

Conferences without Proceedings

  • 15J.-B. Caillau, M. Cerf, A. Sassi, E. Trélat, H. Zidani.

    Chance constrained optimization of a three-stage launcher, in: Journées SMAI-MODE 2016, Toulouse, France, March 2016.

    https://hal.archives-ouvertes.fr/hal-01408885
  • 16J.-B. Caillau, M. Cerf, A. Sassi, E. Trélat, H. Zidani.

    Kernel Density Estimation applied to the chance-constrained Goddard problem, in: PGMO Days 2016, Palaiseau, France, November 2016.

    https://hal.archives-ouvertes.fr/hal-01408897

Scientific Books (or Scientific Book chapters)

  • 17P. Bettiol, B. Bonnard, L. Giraldi, P. Martinon, J. Rouot.

    The Purcell Three-link swimmer: some geometric and numerical aspects related to periodic optimal controls, in: Variational methods in imaging and geometric control, M. Bergounioux, G. Peyré, C. Schnörr, J.-B. Caillau, T. Haberkorn (editors), Radon Series on Computational and Applied Mathematics, 2016, vol. 18, pp. 328-357.

    https://hal.inria.fr/hal-01143763
  • 18B. Bonnard, M. Chyba.

    Recent Advances in Celestial and Space Mechanics, Mathematics for Industry, Springer, 2016, no 23. [ DOI : 10.1007/978-3-319-27464-5 ]

    https://hal.inria.fr/hal-01405169
  • 19J.-B. Caillau, A. Farrés.

    On local optima in minimum time control of the restricted three-body problem, in: Recent Advances in Celestial and Space Mechanics, Springer, April 2016, vol. Mathematics for Industry, no 23, pp. 209-302. [ DOI : 10.1007/978-3-319-27464-5 ]

    https://hal.archives-ouvertes.fr/hal-01260120
  • 20Z. Chen, Y. Chitour.

    Controllability of Keplerian Motion with Low-Thrust Control Systems, in: Radon Series on Computational and Applied Mathematics, Variational Methods In Imaging and Geometric Control, December 2016, vol. 18, pp. 344-364.

    https://hal.archives-ouvertes.fr/hal-01402649

Books or Proceedings Editing

  • 21M. Bergounioux, J.-B. Caillau, T. Haberkorn, G. Peyré, C. Schnörr (editors)

    Variational methods in imaging and geometric control, Radon Series on Comput. and Applied Math., de Gruyter, December 2016, no 18.

    https://hal.archives-ouvertes.fr/hal-01315508

Other Publications

  • 22C. Aldana, J.-B. Caillau, P. Freitas.

    Maximal determinants of Schrödinger operators, November 2016, working paper or preprint.

    https://hal.inria.fr/hal-01406270
  • 23F. Alouges, A. Desimone, L. Giraldi, M. Zoppello.

    Purcell magneto-elastic swimmer controlled by an external magnetic field, November 2016, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01393314
  • 24A. Belotto Da Silva, L. Rifford.

    The Sard conjecture on Martinet surfaces, August 2016, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01411456
  • 25P. Bettiol, B. Bonnard, A. Nolot, J. Rouot.

    Optimal control theory and the efficiency of the swimming mechanism of the Copepod Zooplankton, October 2016, working paper or preprint.

    https://hal.inria.fr/hal-01387423
  • 26P. Bettiol, B. Bonnard, A. Nolot, J. Rouot.

    Optimal Control Theory and the Swimming Mechanism of the Copepod Zooplankton, October 2016, working paper or preprint.

    https://hal.inria.fr/hal-01387443
  • 27P. Bettiol, B. Bonnard, J. Rouot.

    Optimal strokes at low Reynolds number: a geometric and numeric study using the Copepod and Purcell swimmers, August 2016, working paper or preprint.

    https://hal.inria.fr/hal-01326790
  • 28B. Bonnard, M. Chyba, J. Rouot.

    Working Examples In Geometric Optimal Control: PRELIMINARY VERSION, March 2016, working paper or preprint.

    https://hal.inria.fr/hal-01226734
  • 29B. Bonnard, M. Chyba, J. Rouot, D. Takagi, R. Zou.

    Optimal Strokes : a Geometric and Numerical Study of the Copepod Swimmer, January 2016, working paper or preprint.

    https://hal.inria.fr/hal-01162407
  • 30J.-B. Caillau, M. Cerf, A. Sassi, E. Trélat, H. Zidani.

    Solving chance-constrained optimal control problems in aerospace engineering via Kernel Density Estimation, November 2016, working paper or preprint.

    https://hal.inria.fr/hal-01406266
  • 31J.-B. Caillau, T. Dargent, F. Nicolau.

    Approximation by filtering in optimal control and applications, 2016, working paper or preprint.

    https://hal.inria.fr/hal-01405724
  • 32T. Dargent, F. Nicolau, J.-B. Pomet.

    Periodic averaging with a second order integral error *, November 2016, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01351613
  • 33R. Ferretti, A. Sassi.

    A semi-Lagrangian algorithm in policy space for hybrid optimal control problems, December 2016, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01406544
  • 34L. Giraldi, P. Lissy, C. Moreau, J.-B. Pomet.

    Controllability of a bent 3-link magnetic microswimmer, October 2016, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01390138
  • 35L. Rifford.

    Singulières minimisantes en géométrie sous-riemannienne [d'après Hakavuori, Le Donne, Leonardi, Monti...], March 2016, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01411510
  • 36M. Zoppello, A. Desimone, F. Alouges, L. Giraldi, P. Martinon.

    Optimal control of slender microswimmers, November 2016, working paper or preprint.

    https://hal.archives-ouvertes.fr/hal-01393327
References in notes
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  • 42Z. Artstein.

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  • 43A. Bombrun, J.-B. Pomet.

    The averaged control system of fast oscillating control systems, in: SIAM J. Control Optim., 2013, vol. 51, no 3, pp. 2280-2305. [ DOI : 10.1137/11085791X ]

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  • 44B. Bonnard, J.-B. Caillau.

    Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust, in: Ann. Inst. H. Poincaré Anal. Non Linéaire, 2007, vol. 24, no 3, pp. 395–411.
  • 45B. Bonnard, J.-B. Caillau.

    Geodesic flow of the averaged controlled Kepler equation, in: Forum Mathematicum, September 2009, vol. 21, no 5, pp. 797–814.

    http://dx.doi.org/10.1515/FORUM.2009.038
  • 46B. Bonnard, M. Chyba.

    Singular trajectories and their role in control theory, Mathématiques & Applications, Springer-Verlag, Berlin, 2003, vol. 40, xvi+357 p.
  • 47B. Bonnard, O. Cots, S. J. Glaser, M. Lapert, D. Sugny, Y. Zhang.

    Geometric Optimal Control of the Contrast Imaging Problem in Nuclear Magnetic Resonance, in: IEEE Transactions on Automatic Control, August 2012, vol. 57, no 8, pp. 1957-1969. [ DOI : 10.1109/TAC.2012.2195859 ]

    http://hal.archives-ouvertes.fr/hal-00750032/
  • 48B. Bonnard, N. Shcherbakova, D. Sugny.

    The smooth continuation method in optimal control with an application to quantum systems, in: ESAIM Control Optim. Calc. Var., 2011, vol. 17, no 1, pp. 267–292.

    http://dx.doi.org/10.1051/cocv/2010004
  • 49B. Bonnard, D. Sugny.

    Time-minimal control of dissipative two-level quantum systems: the integrable case, in: SIAM J. Control Optim., 2009, vol. 48, no 3, pp. 1289–1308.

    http://dx.doi.org/10.1137/080717043
  • 50B. Bonnard, D. Sugny.

    Optimal control with applications in space and quantum dynamics, vol. 5 of AIMS Series on Applied Mathematics, American Institute of Mathematical Sciences, Springfield, MO, 2012, xvi+283 p.
  • 51U. Boscain, B. Piccoli.

    Optimal syntheses for control systems on 2-D manifolds, Mathématiques & Applications (Berlin) [Mathematics & Applications], Springer-Verlag, Berlin, 2004, vol. 43, xiv+261 p.
  • 52Y. Brenier.

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  • 54T. Dargent.

    Averaging technique in T_3D an integrated tool for continuous thrust optimal control in orbit transfers, in: 4th AAS/AIAA Space Flight Mechanics Meeting, Santa Fe, New Mexico, January 2014.
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    Feedback control theory, Macmillan Publishing Company, New York, 1992, xii+227 p.
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    Mass transportation on sub-Riemannian manifolds, in: Geom. Funct. Anal., 2010, vol. 20, no 1, pp. 124–159.

    http://dx.doi.org/10.1007/s00039-010-0053-z
  • 57A. Figalli, L. Rifford.

    Closing Aubry sets I, in: Communications on Pure and Applied Mathematics, 2015, vol. 68, no 2.

    https://hal.archives-ouvertes.fr/hal-00935965
  • 58A. Figalli, L. Rifford.

    Closing Aubry sets II, in: Communications on Pure and Applied Mathematics, 2015, vol. 68, no 3.

    https://hal.archives-ouvertes.fr/hal-00935970
  • 59M. Fliess, J. Lévine, P. Martin, P. Rouchon.

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    Sufficient conditions for relative minima of broken extremals in optimal control theory, in: J. Math. Anal. Appl., 2002, vol. 269, pp. 98–128.

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