Bibliography
Publications of the year
Doctoral Dissertations and Habilitation Theses
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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
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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, no 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, no 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, no 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, no 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, no 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, no 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, no 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
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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
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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
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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
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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) 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)
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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
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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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35A. A. Agrachev, C. Biolo.
Switching in Time-Optimal Problem: The 3D Case with 2D Control, in: J. Dyn. Control Syst., 2017.
http://dx.doi.org/10.1007/s10883-016-9342-7 -
36A. A. Agrachev, R. V. Gamkrelidze.
Symplectic methods for optimization and control, in: Geometry of feedback and optimal control, Textbooks Pure Appl. Math., Marcel Dekker, 1998, vol. 207, pp. 19–77. -
37A. Agrachev, Y. L. Sachkov.
Control theory from the geometric viewpoint, Encyclopaedia of Mathematical Sciences, Springer-Verlag, Berlin, 2004, vol. 87, xiv+412 p, Control Theory and Optimization, II. -
38A. A. Agrachev, A. V. Sarychev.
Strong minimality of abnormal geodesics for 2-distributions, in: J. Dynam. Control Systems, 1995, vol. 1, no 2, pp. 139–176. -
39A. A. Agrachev, A. V. Sarychev.
Abnormal sub-Riemannian geodesics: Morse index and rigidity, in: Ann. Inst. H. Poincarré, Anal. non-linéaire, 1996, vol. 13, no 6, pp. 635-690. -
40V. I. Arnold.
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41A. 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 ]
http://hal.inria.fr/hal-00648330/ -
42B. 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 -
43B. Bonnard, J.-B. Caillau, O. Cots.
Energy minimization in two-level dissipative quantum control: The integrable case, in: Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Discrete Contin. Dyn. Syst., AIMS, 2011, vol. suppl., pp. 198–208. -
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, no 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.
Conjugate and cut loci of a two-sphere of revolution with application to optimal control, in: Ann. Inst. H. Poincaré Anal. Non Linéaire, 2009, vol. 26, no 4, pp. 1081–1098.
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, no 2, pp. 206–236. -
47B. Bonnard, M. Chyba.
Singular trajectories and their role in control theory, Mathématiques & Applications, Springer-Verlag, Berlin, 2003, vol. 40, xvi+357 p. -
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, no 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, no 8, pp. 1957-1969. [ DOI : 10.1109/TAC.2012.2195859 ]
http://hal.archives-ouvertes.fr/hal-00750032/ -
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, no 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, no 4, pp. 397-432. [ DOI : 10.3934/mcrf.2013.3.397 ]
https://hal.inria.fr/hal-00939495 -
53B. Bonnard, I. Kupka.
Théorie des singularités de l'application entrée-sortie et optimalité des trajectoires singulières dans le problème du temps minimal, in: Forum Math., 1993, vol. 5, pp. 111–159. -
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, no 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, no 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, no 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 ]
https://hal.archives-ouvertes.fr/hal-01315530 -
60Z. Chen, J.-B. Caillau, Y. Chitour.
-minimization for mechanical systems, in: SIAM J. Control Optim., May 2016, vol. 54, no 3, pp. 1245-1265. [ DOI : 10.1137/15M1013274 ]
https://hal.archives-ouvertes.fr/hal-01136676 -
61L. Faubourg, J.-B. Pomet.
Control Lyapunov functions for homogeneous “Jurdjevic-Quinn” systems, in: ESAIM Control Optim. Calc. Var., 2000, vol. 5, pp. 293-311. [ DOI : 10.1051/cocv:2000112 ]
http://www.numdam.org/item/COCV_2000__5__293_0 -
62A. Figalli, T. Gallouët, L. Rifford.
On the convexity of injectivity domains on nonfocal manifolds, in: SIAM J. Math. Anal., 2015, vol. 47, no 2, pp. 969–1000. [ DOI : 10.1137/140961821 ]
https://hal.inria.fr/hal-00968354 -
63A. Figalli, L. Rifford, C. Villani.
Necessary and sufficient conditions for continuity of optimal transport maps on Riemannian manifolds, in: Tohoku Math. J., 2011, vol. 63, no 4, pp. 855-876.
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64M. Fliess, J. Lévine, P. Martin, P. Rouchon.
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65C. Gavriel, R. Vinter.
Second order sufficient conditions for optimal control problems with non-unique minimizers: an abstract framework, in: Appl. Math. Optim., 2014, vol. 70, no 3, pp. 411–442.
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66L. Giraldi, J.-B. Pomet.
Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer, in: IEEE Transactions on Automatic Control, 2017, vol. 62, pp. 2512-2518. [ DOI : 10.1109/TAC.2016.2600158 ]
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67R. 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 ]
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