Jean-Baptiste Caillau
Publications
Publications
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On the controllability of nonlinear systems with a periodic driftSIAM Journal on Control and Optimization, 2025, 63 (5), pp.3407-3429. ⟨10.1137/22M1541381⟩ |
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Optimal bacterial resource allocation strategies in batch processingSIAM Journal on Applied Mathematics, 2024, pp.S567-S591. ⟨10.1137/22M1506328⟩ |
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Optimal control of a solar sailOptimal Control Applications and Methods, 2024, 45, pp.2837-2855. ⟨10.1002/oca.3189⟩ |
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Controllability Properties of Solar SailsJournal of Guidance, Control, and Dynamics, 2023, ⟨10.2514/1.G007250⟩ |
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Stability analysis of a bacterial growth model through computer algebraMathematicS In Action, 2023, 12 (1), pp.175-189. ⟨10.5802/msia.37⟩ |
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On singularities of minimum time control-affine systemsSIAM Journal on Control and Optimization, 2022, 60 (2), pp.1143-1162. ⟨10.1137/20M1366861⟩ |
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Dynamical analysis and optimization of a generalized resource allocation model of microbial growthSIAM Journal on Applied Dynamical Systems, 2022, 21 (1), pp.137-165. ⟨10.1137/21M141097X⟩ |
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Turnpike property in optimal microbial metabolite productionJournal of Optimization Theory and Applications, 2022, ⟨10.1007/s10957-022-02023-0⟩ |
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Maximal determinants of Schrödinger operators on bounded intervalsJournal de l'École polytechnique — Mathématiques, 2020, 7, pp.803-829 |
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Optimal bacterial resource allocation: metabolite production in continuous bioreactorsMathematical Biosciences and Engineering, 2020, 17 (6), pp.7074-7100. ⟨10.3934/mbe.2020364⟩ |
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Solving chance constrained optimal control problems in aerospace via Kernel Density EstimationOptimal Control Applications and Methods, 2018, 39 (5), pp.1833-1858. ⟨10.1002/oca.2445⟩ |
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Non-integrability of the minimum-time Kepler problemJournal of Geometry and Physics, 2018, 132, pp.452-459. ⟨10.1016/j.geomphys.2018.06.012⟩ |
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L$^1$-minimization for mechanical systemsSIAM Journal on Control and Optimization, 2016, 54 (3), pp.1245-1265. ⟨10.1137/15M1013274⟩ |
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Special issue on New trends in optimal controlDiscrete and Continuous Dynamical Systems - Series A, 2015, Special issue on New trends in optimal control, 35 (9), pp. i - iv ⟨10.3934/dcds.2015.35.9i⟩ |
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Metrics with equatorial singularities on the sphereAnnali di Matematica Pura ed Applicata, 2014, 193 (5), pp.1353-1382. ⟨10.1007/s10231-013-0333-y⟩ |
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Conjugate-cut loci and injectivity domains on two-spheres of revolutionESAIM: Control, Optimisation and Calculus of Variations, 2013, 19 (2), pp.533-554. ⟨10.1051/cocv/2012020⟩ |
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Differential continuation for regular optimal control problemsOptimization Methods and Software, 2012, 27 (2), pp.177-196. ⟨10.1080/10556788.2011.593625⟩ |
Minimum fuel control of the planar circular restricted three-body problemCelestial Mech. Dynam. Astronom., 2012, 114 (1), pp.137-150 |
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Minimum time control of the restricted three-body problemSIAM Journal on Control and Optimization, 2012, 50 (6), pp.3178-3202 |
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Convexity of injectivity domains on the ellipsoid of revolution: The oblate caseComptes Rendus. Mathématique, 2010, 348 (23-24), pp.1315-1318. ⟨10.1016/j.crma.2010.10.036⟩ |
Geometric and numerical techniques in optimal control of two and three- body problemsCommun. Inf. Syst., 2010, 10 (4), pp.239-278 |
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Optimality results in orbit transferComptes rendus hebdomadaires des séances de l'Académie des sciences, 2007, 345, pp.319-324 |
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Second order optimality conditions with applicationsDiscrete and Continuous Dynamical Systems - Series A, 2007, Dynamical Systems and Differential Equations, Proceedings of the 6th AIMS International Conference,, pp.145--154 |
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Second order optimality conditions in the smooth case and applications in optimal controlESAIM: Control, Optimisation and Calculus of Variations, 2007, 13 (2), pp.207--236 |
Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrustAnnales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2007, 24 (3), pp.395-411 |
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Energy minimization of single input orbit transfer by averaging and continuationBulletin des Sciences Mathématiques, 2006, 130 (8), pp.707-719 |
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Averaging and optimal control of elliptic Keplerian orbits with low propulsionSystems and Control Letters, 2006, 55 (9), pp.755-760. ⟨10.1016/j.sysconle.2006.03.004⟩ |
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Geometric optimal control of elliptic Keplerian orbitsDiscrete and Continuous Dynamical Systems - Series S, 2005, Series B, 5 (4), pp.929--956 |
3D Geosynchronous Transfer of a Satellite: Continuation on the ThrustJournal of Optimization Theory and Applications, 2003, 118 (3), pp.541-565 |
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Coplanar control of a satellite around the EarthESAIM: Control, Optimisation and Calculus of Variations, 2001, 6, pp.239-258 |
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Sensitivity analysis for time optimal orbit transferOptimization, 2001, 49 (4), pp.327-350 |
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Solving optimal control problems on GPU with JuliaJuliaCon local Paris 2025 - European conference on the Julia programming language, Julia / CNAM, Oct 2025, Paris, France |
Trajectory optimisation in space mechanics with JuliaJuliaCon 2024 - 11th Conference on the Julia programming language, Jul 2024, Eindhoven, Netherlands |
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control-toolbox: solving control problems within JuliaFGS 2024 - 21st French-German-Spanish conferences on Optimization, Oviedo University, Jun 2024, Gijón, Asturias, Spain. à paraître |
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Solving optimal control problems with JuliaJulia and Optimization Days 2023, CNAM; CNRS - Groupe CALCUL, Oct 2023, Paris, France |
Solving optimal control problems with Julia (talk)JuliaCon 2023, MIT: Massachusetts Institute of Technology, Cambridge, MA, USA, Jul 2023, Cambridge, Boston, United States |
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Optimal allocation of bacterial resources in fed-batch reactors2022 European Control Conference (ECC), Jul 2022, London, United Kingdom. pp.1466-1471, ⟨10.23919/ECC55457.2022.9838346⟩ |
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A Result on Controllability with Constrained ControlsWorkshop on Optimal Control Theory, Jun 2022, Rouen, France |
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ct: control toolbox - Numerical tools and examples in optimal control18th IFAC Workshop on Control Applications of Optimization, Jul 2022, Paris, France. pp.13-18, ⟨10.1016/j.ifacol.2022.08.074⟩ |
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Controllability Test for Fast-Oscillating Systems with Constrained Control. Application to Solar SailingECC 2022 - European Control Conference, Jul 2022, London, United Kingdom. pp.2143-2148, ⟨10.23919/ECC55457.2022.9838146⟩ |
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Considerations on Two-Phase Averaging of Time-Optimal Control SystemsIFAC CAO 2022 - 18th Workshop on Control Applications of Optimization, Jul 2022, Gif-sur-Yvette, France. pp.7-12, ⟨10.1016/j.ifacol.2022.08.073⟩ |
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Optimal bacterial resource allocationDCO 2021 - International Conference on Dynamic Control and Optimization, Feb 2021, Aveiro, Portugal |
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Zermelo-Markov-Dubins with two trailersLHMNC 2021 - 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Oct 2021, Berlin, Germany. pp.249-245, ⟨10.1016/j.ifacol.2021.11.086⟩ |
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On the convergence of time-optimal maneuvers of fast-oscillating control systemsECC 2021 - European Control Conference, Jun 2021, Virtual, France. pp.2008-2013, ⟨10.23919/ECC54610.2021.9655101⟩ |
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Classification and feature selection using a primal-dual method and projection on structured constraintsICPR 2020 - 25th International Conference on Pattern Recognition, Jan 2021, Milan, Italy. pp.6538-6545, ⟨10.1109/ICPR48806.2021.9412873⟩ |
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Hierarchical MPC applied to bacterial resource allocation and metabolite synthesisCDC 2021 - 60th IEEE Conference on Decision and Control, Dec 2021, Austin, United States. pp.667-672, ⟨10.1109/CDC45484.2021.9683025⟩ |
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The turnpike property in maximization of microbial metabolite productionIFAC 2020 - 21rst IFAC World Congress, Jul 2020, Berlin / Virtual, Germany |
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Sufficient conditions for time optimality of systems with control on the diskCDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. pp.2405-2409, ⟨10.1109/CDC40024.2019.9029896⟩ |
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Singular regimes for the maximization of metabolite productionCDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. pp.31-36, ⟨10.1109/CDC40024.2019.9029410⟩ |
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Bacterial growth strategies as Optimal Control problems: maximizing metabolite productionFGS'2019 - 19th French-German-Swiss conference on Optimization, Sep 2019, Nice, France |
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Zermelo-Markov-Dubins problem and extensions in marine navigationCDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. pp.517-522, ⟨10.1109/CDC40024.2019.9029293⟩ |
Multi-phase averaging of time-optimal low-thrust transfersKePASSA 2019 - 4th International Workshop on Key Topics in Orbit Propagation Applied to Space Situational Awareness, Apr 2019, Logrono, Spain |
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Sufficient conditions for time optimality of systems with control on the disk58th Conference on Decision and Control, Dec 2019, Nice, France |
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Optimal control of slow-fast mechanical systemsProceedings of the Complex Systems Academy of Excellence, Jan 2018, Nice, France. pp.105-116 |
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The Nice Cube (Nice$^3$) nanosatellite projectComplex days 2018, Université Côte d'Azur, Jan 2018, Nice, France. pp.1-12 |
Restoring Short-Period Oscillations of the Motion of Averaged Optimal Control SystemsJournées SMAI-MODE, Mar 2018, Autrans, France |
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Smooth and broken Hamiltonian curves in optimal controlRecent advances in Hamiltonian dynamics and symplectic topology, 2018, Padova, France |
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Approximation by filtering in optimal control and applicationsIFAC 2017 World Congress. The 20th World Congress of the International Federation of Automatic Control, International Federation of Automatic Control (IFAC), Jul 2017, Toulouse, France. pp.1649-1654, ⟨10.1016/j.ifacol.2017.08.332⟩ |
Energy minimization in two-level dissipative quantum control: The integrable caseProceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 2010, Germany. (to appear) |
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Discrete and differential homotopy in circular restricted three-body controlProceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 2010, Dresden, Germany. pp.229-239 |
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Smooth approximations of single-input controlled Keplerian trajectories: homotopies and averagingJoint CTS-HYCON Workshop on Nonlinear and Hybrid Control, 2006, France. pp.76-95 |
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Smooth homotopies for single-input time optimal orbital transfer13th IFAC Workshop on Control Applications of Optimisation, 2006, France. pp.26-31 |
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Averaging and optimal control of elliptic Keplerian orbits with low propulsion13th IFAC Workshop on Control Applications of Optimisation (CAO 2006), IFAC: International Federation of Automatic Control, 2006, Paris, France. pp.20-25 |
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Remarks on quadratic Hamiltonians in spaceflight mechanics3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 2006, Japan. pp.365-373 |
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Riemannian metric of the averaged controlled Kepler equation22nd IFIP TC 7, 2005, Italy. pp.79-89 |
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Geometric analysis of minimum time Keplerian orbit transfersProceedings of the 22nd IFIP TC 7 Conference on System Modeling and Optimization, Torino, Italy., 2006, Torino, Italy. 6 p |
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Computation of conjugate times in smooth optimal control: the COTCOT algorithm2005, 6 p |
Numerical control and orbital transfersOptimal Control Workshop, Oct 2002, Munich, Germany. pp.39-49 |
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Continuous optimal control sensitivity analysis with ADAD'2000, 2000, France. pp.109-117 |
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Wavelets for adaptive solution of boundary value problems16th IMACS World Congress, Aug 2000, Lauzanne, Switzerland. pp.1-6 |
Variational methods in imaging and geometric controlde Gruyter, 18, 2017, Radon Series on Comput. and Applied Math |
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Special issue in the honor of Bernard Bonnard. Part I and II3 (3-4), 2013, Math. Control Relat. Fields |
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Extremal determinants: the periodic one-dimensional essentially bounded caseAmerican Institute of Mathematical Sciences. IVAN KUPKA LEGACY : A Tour Through Controlled Dynamics, 12, , pp.155-172, 2024, AIMS Applied Math Books - Special issue in honor of I. Kupka, 978-1-60133-026-0 |
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An algorithmic guide for finite-dimensional optimal control problemsHandbook of numerical analysis: Numerical control, Part B, 24, North-Holland; Elsevier, pp.559-626, 2023, Handbook of Numerical Analysis, ⟨10.1016/bs.hna.2022.11.006⟩ |
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On local optima in minimum time control of the restricted three-body problemBernard Bonnard; Monique Chyba. Recent Advances in Celestial and Space Mechanics, 23, Springer, pp.209 - 302, 2016, Mathematics for Industry, 978-3-319-27464-5. ⟨10.1007/978-3-319-27464-5⟩ |
On the injectivity and nonfocal domains of the ellipsoid of revolutionProceedings of the INDAM meeting on Geometric Control and sub-Riemannian geometry, 5, Springer, pp.73-85, 2014, Indam series, ⟨10.1007/978-3-319-02132-4_5⟩ |
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Introduction to nonlinear optimal controlAdvanced topics in control systems theory, Springer, pp.1-60, 2006, Lecture Notes in Control and Inform. Sci. 328, ⟨10.1007/11583592_1⟩ |
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Minimum time control of the Kepler equationUnsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, pp.89-92, 2004 |
The Nice Cube (Nice) nanosatellite projectProceedings of the Complex Systems, Academy of Excellence 2018, 2018, pp.178 |
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Metric approximation of minimum time control systems2017 |
Kernel Density Estimation applied to the chance-constrained Goddard problem2016 |
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Chance constrained optimization of a three-stage launcher2016 |
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Optimisation d’un lanceur2015 |
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Chance constrained optimization of a three-stage launcher2015 |
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Contribution à l'étude du contrôle en temps minimal des transferts orbitauxOptimisation et contrôle [math.OC]. Institut National Polytechnique Toulouse, 2000. Français. ⟨NNT : 2000INPT028H⟩ |
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Contribution a l'etude du controle en temps minimal des transferts orbitauxMathématiques [math]. Institut National Polytechnique de Toulouse - INPT, 2000. Français. ⟨NNT : ⟩ |
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Sur la géométrie des transferts orbitauxMathématiques [math]. Institut National Polytechnique de Toulouse - INPT, 2006 |