Bibliography
Publications of the year
Articles in International Peer-Reviewed Journals
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1T. Bakir, B. Bonnard, L. Bourdin, J. Rouot.
Pontryagin-Type Conditions for Optimal Muscular Force Response to Functional Electric Stimulations, in: Journal of Optimization Theory and Applications, February 2020, vol. 184, no 2, pp. 581-602. [ DOI : 10.1007/s10957-019-01599-4 ]
https://hal.inria.fr/hal-01854551 -
2T. 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 -
3T. Bakir, B. Bonnard, J. Rouot.
Geometric Optimal Control Techniques to Optimize the Production of Chemical Reactors using Temperature Control, in: Annual Reviews in Control, 2019, vol. 48, pp. 178-192. [ DOI : 10.1016/j.arcontrol.2019.09.005 ]
https://hal.archives-ouvertes.fr/hal-02115732 -
4N. Baresi, L. Dell'Elce, J. Cardoso dos Santos, Y. Kawakatsu.
Long-term Evolution of Mid-altitude Quasi-satellite Orbits, in: Nonlinear Dynamics, 2020, forthcoming.
https://hal.archives-ouvertes.fr/hal-02385546 -
5L. Berti, L. Giraldi, C. Prud'Homme.
Swimming at Low Reynolds Number, in: ESAIM: Proceedings and Surveys, 2019, pp. 1 - 10, https://arxiv.org/abs/1911.12213.
https://hal.archives-ouvertes.fr/hal-02369537 -
6P. 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, April 2019, vol. 25, no 9. [ DOI : 10.1051/cocv/2017071 ]
https://hal.inria.fr/hal-01442880 -
7B. Bonnard, O. Cots, J. Rouot, T. Verron.
Time minimal saturation of a pair of spins and application in magnetic resonance imaging, in: Mathematical Control and Related Fields, 2020, vol. 10, no 1, pp. 47-88. [ DOI : 10.3934/mcrf.2019029 ]
https://hal.inria.fr/hal-01779377 -
8L. Dell'Elce, D. J. Scheeres.
Sensitivity of Optimal Control Problems Arising from their Hamiltonian Structure, in: Journal of the Astronautical Sciences, May 2019, forthcoming. [ DOI : 10.1007/s40295-019-00168-1 ]
https://hal.archives-ouvertes.fr/hal-02385538 -
9C. Moreau.
Local controllability of a magnetized Purcell's swimmer, in: IEEE Control Systems Letters, May 2019. [ DOI : 10.1109/LCSYS.2019.2915004 ]
https://hal.inria.fr/hal-02117592 -
10L. Rifford, A. Moameni.
Uniquely minimizing costs for the Kantorovitch problem, in: Annales de la Faculté des Sciences de Toulouse. Mathématiques, 2019, forthcoming.
https://hal.archives-ouvertes.fr/hal-01662537
International Conferences with Proceedings
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11T. Bakir, B. Bonnard, J. Rouot.
Connection between singular arcs in optimal control using bridges.Physical occurence and Mathematical model, in: CDC 2019 - 58th Conference on Decision and Control, Nice, France, December 2019.
https://hal.inria.fr/hal-02050014 -
12J.-B. Caillau, S. Maslovskaya, T. Mensch, T. Moulinier, J.-B. Pomet.
Zermelo-Markov-Dubins problem and extensions in marine navigation, in: CDC 2019 - 58th IEEE Conference on Decision and Control, Nice, France, December 2019.
https://hal.archives-ouvertes.fr/hal-02375015 -
13J.-B. Caillau, M. Orieux.
Sufficient conditions for time optimality of systems with control on the disk, in: CDC 2019 - 58th IEEE Conference on Decision and Control, Nice, France, December 2019.
https://hal.inria.fr/hal-02436211 -
14W. Djema, O. Bernard, L. Giraldi.
Turnpike Features in Optimal Selection of Microalgae, in: FOSBE 2019 - 8th IFAC Conference on Foundations of Systems Biology in Engineering, Valencia, Spain, October 2019.
https://hal.inria.fr/hal-02422868 -
15W. 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 -
16A. G. Yabo, J.-B. Caillau, J.-L. Gouzé.
Singular regimes for the maximization of metabolite production, in: CDC 2019 - 58th IEEE Conference on Decision and Control, Nice, France, December 2019.
https://hal.inria.fr/hal-02418444
Conferences without Proceedings
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17L. Baratchart, S. Fueyo, G. Lebeau, J.-B. Pomet.
On deciding stability of high frequency amplifiers, in: IFAC 2019 - 15th IFAC Workshop on Time Delay Systems, Sinaia, Romania, September 2019.
https://hal.inria.fr/hal-02437112 -
18L. Dell'Elce, J.-B. Caillau, J.-B. Pomet.
Multi-phase averaging of time-optimal low-thrust transfers, in: KePASSA 2019 - 4th International Workshop on Key Topics in Orbit Propagation Applied to Space Situational Awareness, Logrono, Spain, 2019.
https://hal.archives-ouvertes.fr/hal-02387385 -
19P. Izzo, A. J. Rosengren, L. Dell'Elce, P. Gurfil.
Periodic Corrections in Secular Milankovitch Theory Applied to Passive Debris Removal, in: ISSFD 2019 - 27th International Symposium on Space Flight Dynamics (ISSFD), Melbourne, Australia, February 2019.
https://hal.archives-ouvertes.fr/hal-02385555 -
20A. G. Yabo, J.-B. Caillau, J.-L. Gouzé.
Bacterial growth strategies as Optimal Control problems: maximizing metabolite production, in: FGS'2019 - 19th French-German-Swiss conference on Optimization, Nice, France, September 2019.
https://hal.archives-ouvertes.fr/hal-02421164
Other Publications
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21T. Bakir, B. Bonnard, L. Bourdin, J. Rouot.
Direct and Indirect Methods to Optimize the Muscular Force Response to a Pulse Train of Electrical Stimulation, February 2020, French-German-Swiss conference on Optimization.
https://hal.inria.fr/hal-02053566 -
22L. Baratchart, S. Fueyo, G. Lebeau, J.-B. Pomet.
Sufficient Stability Conditions for Time-varying Networks of Telegrapher's Equations or Difference Delay Equations, November 2019, https://arxiv.org/abs/1911.13003 - working paper or preprint.
https://hal.inria.fr/hal-02385548 -
23M. Barlaud, A. Chambolle, J.-B. Caillau.
Robust supervised classification and feature selection using a primal-dual method, February 2019, working paper or preprint.
https://hal.inria.fr/hal-01992399 -
24B. Bonnard, O. Cots, J. Gergaud, B. Wembe.
Abnormal Curves in a Zermelo Navigation Problem in the Plane and the Fan Shape of Small Time Balls, January 2020, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02437507 -
25B. Bonnard, O. Cots, B. Wembe.
A Zermelo navigation problem with a vortex singularity, November 2019, https://arxiv.org/abs/1911.01109 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02296046 -
26B. Bonnard, J. Rouot.
Towards Geometric Time Minimal Control without Legendre Condition and with Multiple Singular Extremals for Chemical Networks, January 2020, https://arxiv.org/abs/2001.04126 - working paper or preprint.
https://hal.inria.fr/hal-02431684 -
27W. Djema, L. Giraldi, O. Bernard.
Turnpike Features in Optimal Selection ofMicroalgae, December 2019, working paper or preprint.
https://hal.inria.fr/hal-02423373 -
28Y. El Alaoui-Faris, J.-B. Pomet, S. Régnier, L. Giraldi.
Optimal Actuation of Flagellar Magnetic Micro-Swimmers, November 2019, https://arxiv.org/abs/1911.02805 - working paper or preprint.
https://hal.inria.fr/hal-02350868 -
29L. Giraldi, F. Jean.
Periodical body's deformations are optimal strategies for locomotion, August 2019, working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02266220 -
30L. Giraldi, P. Lissy, C. Moreau, J.-B. Pomet.
Necessary conditions for local controllability of a particular class of systems with two scalar controls, July 2019, https://arxiv.org/abs/1907.04706 - working paper or preprint.
https://hal.archives-ouvertes.fr/hal-02178973 -
31O. 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 -
32Y. 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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38N. Baresi, L. Dell'Elce, J. Cardoso dos Santos, Y. Kawakatsu.
Long-term Evolution of Mid-altitude Quasi-satellite Orbits, in: Nonlinear Dynamics, 2020.
https://hal.archives-ouvertes.fr/hal-02385546 -
39A. Belotto Da Silva, L. Rifford.
The Sard conjecture on Martinet surfaces, in: Duke Mathematical Journal, 2018, vol. 167, no 8, pp. 1433-1471.
https://hal.archives-ouvertes.fr/hal-01411456 -
40P. 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 -
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 ]
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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 ]
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61L. Dell'Elce, J.-B. Caillau, J.-B. Pomet.
Averaging Optimal Control Systems with Two Fast Variables, May 2018, working paper or preprint.
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62L. 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 ]
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63A. 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 ]
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64A. 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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