Publications of the year

Doctoral Dissertations and Habilitation Theses

• 1M. Orieux.
  
  Some properties and applications of minimum time control, Université Paris Dauphine PSL, November 2018.
  
  https://hal.inria.fr/tel-01956833

Articles in International Peer-Reviewed Journals

• 2Z. Badreddine.
  
  Mass transportation on sub-Riemannian structures of rank two in dimension four, in: Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, 2018.
  
  https://hal.archives-ouvertes.fr/hal-01952439
• 3T. Bakir, B. Bonnard, J. Rouot.
  
  A case study of optimal input-output system with sampled-data control: Ding et al. force and fatigue muscular control model, in: Networks and Heterogeneous Media, 2019, vol. 14, n^o 1, pp. 79-100. [ DOI : 10.3934/nhm.2019005 ]
  
  https://hal.inria.fr/hal-01779349
• 4A. Belotto Da Silva, L. Rifford.
  
  The Sard conjecture on Martinet surfaces, in: Duke Mathematical Journal, 2018, vol. 167, n^o 8, pp. 1433-1471, https://arxiv.org/abs/1608.04122.
  
  https://hal.archives-ouvertes.fr/hal-01411456
• 5P. Bettiol, B. Bonnard, A. Nolot, J. Rouot.
  
  Sub-Riemannian geometry and swimming at low Reynolds number: the Copepod case, in: ESAIM: Control, Optimisation and Calculus of Variations, 2018. [ DOI : 10.1051/cocv/2017071 ]
  
  https://hal.inria.fr/hal-01442880
• 6P. Bettiol, B. Bonnard, J. Rouot.
  
  Optimal strokes at low Reynolds number: a geometric and numerical study of Copepod and Purcell swimmers, in: SIAM Journal on Control and Optimization, 2018, vol. 56, n^o 3, pp. 1794-1822. [ DOI : 10.1137/16M1106778 ]
  
  https://hal.inria.fr/hal-01326790
• 7B. Bonnard, M. Chyba, J. Rouot, D. Takagi.
  
  Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot, in: Pacific Journal of Mathematics for Industry, December 2018, vol. 10, n^o 2. [ DOI : 10.1186/s40736-018-0036-9 ]
  
  https://hal.archives-ouvertes.fr/hal-01653901
• 8J.-B. Caillau, M. Cerf, A. Sassi, E. Trélat, H. Zidani.
  
  Solving chance constrained optimal control problems in aerospace via Kernel Density Estimation, in: Optimal Control Appl. Methods, 2018, vol. 39, n^o 5, pp. 1833-1858.
  
  https://hal.inria.fr/hal-01507063
• 9L. Giraldi, P. Lissy, C. Moreau, J.-B. Pomet.
  
  Addendum to "Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer", in: IEEE Transactions on Automatic Control, 2018, vol. 63, n^o 7, pp. 2303-2305, https://arxiv.org/abs/1707.01298. [ DOI : 10.1109/TAC.2017.2764422 ]
  
  https://hal.inria.fr/hal-01553296
• 10C. Moreau, L. Giraldi, H. Gadêlha.
  
  The asymptotic coarse-graining formulation of slender-rods, bio-filaments and flagella, in: Journal of the Royal Society Interface, July 2018, vol. 15, n^o 144. [ DOI : 10.1098/rsif.2018.0235 ]
  
  https://hal.archives-ouvertes.fr/hal-01658670
• 11M. Orieux, J.-B. Caillau, T. Combot, J. Fejoz.
  
  Non-integrability of the minimum-time Kepler problem, in: Journal of Geometry and Physics, October 2018, vol. 132, pp. 452-459, https://arxiv.org/abs/1801.04198. [ DOI : 10.1016/j.geomphys.2018.06.012 ]
  
  https://hal.inria.fr/hal-01679261
• 12L. Rifford, A. Moameni.
  
  Uniquely minimizing costs for the Kantorovitch problem, in: Annales de la Faculté des Sciences de Toulouse. Mathématiques, 2019.
  
  https://hal.archives-ouvertes.fr/hal-01662537

Invited Conferences

• 13J.-B. Caillau.
  
  Smooth and broken Hamiltonian curves in optimal control, in: Recent advances in Hamiltonian dynamics and symplectic topology, Padova, France, 2018.
  
  https://hal.inria.fr/hal-01956030
• 14L. Dell'Elce, D. J. Scheeres.
  
  Sensitivity of Optimal Control Problems Arising from their Hamiltonian Structure, in: John L. Junkins Dynamical Systems Symposium, College Station, Texas, United States, May 2018.
  
  https://hal.inria.fr/hal-01923011

International Conferences with Proceedings

• 15T. Bakir, B. Bonnard, S. Othman.
  
  Predictive control based on nonlinear observer for muscular force and fatigue model, in: ACC 2018 - The 2018 American Control Conference, Milwaukee, United States, 2018 Annual American Control Conference (ACC), IEEE, June 2018, pp. 2157-2162. [ DOI : 10.23919/ACC.2018.8430962 ]
  
  https://hal.archives-ouvertes.fr/hal-01591187
• 16N. Baresi, L. Dell'Elce, J. Cardoso dos Santos, Y. Kawakatsu.
  
  Orbit Maintenance of Quasi-Satellite Trajectories via Mean Relative Orbit Elements, in: Proceedings of the 69th International Astronautical Congress, Bremen, Germany, October 2018.
  
  https://hal.inria.fr/hal-01922987
• 17W. Djema, L. Giraldi, O. Bernard.
  
  An Optimal Control Strategy Separating Two Species of Microalgae in Photobioreactors, in: DYCOPS 2019 - 12th IFAC Symposium on Dynamics and Control of Process Systems, including Biosystems, Florianopolis, Brazil, April 2019.
  
  https://hal.inria.fr/hal-01891910

National Conferences with Proceedings

• 18J.-B. Caillau, L. Dell'Elce, J.-B. Pomet, J. Rouot.
  
  Optimal control of slow-fast mechanical systems, in: Proceedings of the Complex Systems Academy of Excellence, Nice, France, 2018, pp. 105-116.
  
  https://hal.inria.fr/hal-01953337

Conferences without Proceedings

• 19L. Dell'Elce, J.-B. Caillau, J.-B. Pomet.
  
  Restoring Short-Period Oscillations of the Motion of Averaged Optimal Control Systems, in: Journées SMAI-MODE, Autrans, France, March 2018.
  
  https://hal.inria.fr/hal-01923019
• 20F. Millour, S. Ottogalli, M. Maamri, A. Stibbe, F. Ferrero, L. M. Rolland, S. Rebeyrolle, A. Marcotto, K. Agabi, M. Beaulieu, M. Benabdesselam, J.-b. Caillau, F. Cauneau, L. Deneire, F. Mady, D. Mary, A. Mémin, G. Metris, J.-B. Pomet, O. Preis, R. Staraj, E. Ait Lachgar, D. Baltazar, B. Gao, M. Deroo, B. Gieudes, M. Jiang, T. Livio de Mirande Pinto Filho, M. Languery, O. Petiot, A. Thevenon.
  
  The Nice Cube (Nice${}^3$) nanosatellite project, in: Complex days 2018, Nice, France, Université Côte d'Azur, January 2018, pp. 1-12.
  
  https://hal.archives-ouvertes.fr/hal-01815444

Scientific Books (or Scientific Book chapters)

• 21B. Bonnard, M. Chyba, J. Rouot.
  
  Geometric and Numerical Optimal Control - Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging, SpringerBriefs in Mathematics, Springer International Publishing, 2018, pp. XIV-108. [ DOI : 10.1007/978-3-319-94791-4 ]
  
  https://hal.inria.fr/hal-01226734

Other Publications

• 22Z. Badreddine, L. Rifford.
  
  Measure contraction properties for two-step analytic sub-Riemannian structures and Lipschitz Carnot groups, 2018, https://arxiv.org/abs/1712.09900 - working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01662544
• 23T. Bakir, B. Bonnard, L. Bourdin, J. Rouot.
  
  Pontryagin-Type Conditions for Optimal Muscular Force Response to Functional Electric Stimulations, August 2018, working paper or preprint.
  
  https://hal.inria.fr/hal-01854551
• 24M. Barlaud, J.-B. Caillau, A. Chambolle.
  
  Robust supervised classification and feature selection using a primal-dual method, January 2019, working paper or preprint.
  
  https://hal.inria.fr/hal-01992399
• 25A. Belotto Da Silva, A. Figalli, A. Parusiński, L. Rifford.
  
  Strong Sard Conjecture and regularity of singular minimizing geodesics for analytic sub-Riemannian structures in dimension 3, October 2018, https://arxiv.org/abs/1810.03347 - working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01889705
• 26B. Bonnard, O. Cots, J. Rouot, T. Verron.
  
  Working Notes on the Time Minimal Saturation of a Pair of Spins and Application in Magnetic Resonance Imaging, March 2018, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01721845
• 27B. Bonnard, O. Cots, J. Rouot, T. Verron.
  
  Time minimal saturation of a pair of spins and application in magnetic resonance imaging, January 2019, working paper or preprint.
  
  https://hal.inria.fr/hal-01779377
• 28J.-B. Caillau, J. Fejoz, M. Orieux, R. Roussarie.
  
  Singularities of min time affine control systems, February 2018, working paper or preprint.
  
  https://hal.inria.fr/hal-01718345
• 29L. Dell'Elce, J.-B. Caillau, J.-B. Pomet.
  
  Averaging Optimal Control Systems with Two Fast Variables, May 2018, working paper or preprint.
  
  https://hal.inria.fr/hal-01793704
• 30P. Lissy, I. Roventa.
  
  Optimal approximation of internal controls for a wave-type problem with fractional Laplacian using finite-difference method, September 2018, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01865920
• 31C. Moreau, L. Giraldi, H. Gadêlha.
  
  Hydrodynamics of elastic micro-filaments : model comparison and applications, May 2018, CANUM, Poster.
  
  https://hal.inria.fr/hal-01880544
• 32L. Rifford, R. Ruggiero.
  
  On the stability conjecture for geodesic flows of manifold without conjugate points, 2018, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01662529
• 33O. Wiezel, L. Giraldi, A. Desimone, Y. Or, F. Alouges.
  
  Energy-optimal small-amplitude strokes for multi-link microswimmers: Purcell's loops and Taylor's waves reconciled, January 2019, https://arxiv.org/abs/1801.04687 - working paper or preprint.
  
  https://hal.inria.fr/hal-01970740
• 34Y. Zhou, J.-B. Caillau, M. Antonini, M. Barlaud.
  
  Robust classification with feature selection using alternating minimization and Douglas-Rachford splitting method, January 2019, working paper or preprint.
  
  https://hal.archives-ouvertes.fr/hal-01993753

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• 44B. Bonnard, J.-B. Caillau, L. Rifford.
  
  Convexity of injectivity domains on the ellipsoid of revolution: the oblate case, in: C. R. Math. Acad. Sci. Paris, 2010, vol. 348, n^o 23-24, pp. 1315–1318. [ DOI : 10.1016/j.crma.2010.10.036 ]
  
  https://hal.archives-ouvertes.fr/hal-00545768
• 45B. Bonnard, J.-B. Caillau, R. Sinclair, M. Tanaka.
  
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  http://dx.doi.org/10.1016/j.anihpc.2008.03.010
• 46B. Bonnard, J.-B. Caillau, E. Trélat.
  
  Second order optimality conditions in the smooth case and applications in optimal control, in: ESAIM Control Optim. and Calc. Var., 2007, vol. 13, n^o 2, pp. 206–236.
• 47B. Bonnard, M. Chyba.
  
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• 48B. 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
• 49B. 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. pp.5-45. [ DOI : 10.1007/s10440-014-9947-3 ]
  
  https://hal.inria.fr/hal-00867753
• 50B. 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, n^o 8, pp. 1957-1969. [ DOI : 10.1109/TAC.2012.2195859 ]
  
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• 51B. Bonnard, H. Henninger, J. Nemcova, J.-B. Pomet.
  
  Time Versus Energy in the Averaged Optimal Coplanar Kepler Transfer towards Circular Orbits, in: Acta Applicandae Math., 2015, vol. 135, n^o 2, pp. 47-80. [ DOI : 10.1007/s10440-014-9948-2 ]
  
  https://hal.inria.fr/hal-00918633
• 52B. Bonnard, A. Jacquemard, M. Chyba, J. Marriott.
  
  Algebraic geometric classification of the singular flow in the contrast imaging problem in nuclear magnetic resonance, in: Math. Control Relat. Fields (MCRF), 2013, vol. 3, n^o 4, pp. 397-432. [ DOI : 10.3934/mcrf.2013.3.397 ]
  
  https://hal.inria.fr/hal-00939495
• 53B. Bonnard, I. Kupka.
  
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• 54B. Bonnard, D. Sugny.
  
  Optimal Control with Applications in Space and Quantum Dynamics, AIMS Series on Applied Mathematics, AIMS, 2012, vol. 5.
• 55J.-B. Caillau, O. Cots, J. Gergaud.
  
  Differential pathfollowing for regular optimal control problems, in: Optim. Methods Softw., 2012, vol. 27, n^o 2, pp. 177–196.
• 56J.-B. Caillau, B. Daoud.
  
  Minimum time control of the restricted three-body problem, in: SIAM J. Control Optim., 2012, vol. 50, n^o 6, pp. 3178–3202.
• 57J.-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, n^o 23, pp. 209-302. [ DOI : 10.1007/978-3-319-27464-5 ]
  
  https://hal.archives-ouvertes.fr/hal-01260120
• 58J.-b. Caillau, J.-B. Pomet, J. Rouot.
  
  Metric approximation of minimum time control systems , November 2017, working paper or preprint.
  
  https://hal.inria.fr/hal-01672001
• 59J.-B. Caillau, C. Royer.
  
  On the injectivity and nonfocal domains of the ellipsoid of revolution, in: Geometric Control Theory and Sub-Riemannian Geometry, G. Stefani (editor), INdAM series, Springer, 2014, vol. 5, pp. 73-85. [ DOI : 10.1007/978-3-319-02132-4 ]
  
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• 60Z. Chen, J.-B. Caillau, Y. Chitour.
  
  $L^1$-minimization for mechanical systems, in: SIAM J. Control Optim., May 2016, vol. 54, n^o 3, pp. 1245-1265. [ DOI : 10.1137/15M1013274 ]
  
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• 61L. Faubourg, J.-B. Pomet.
  
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• 63A. Figalli, L. Rifford, C. Villani.
  
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