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76

Publications of Jean-Baptiste Caillau on HAL


Journal articles24 documents

  • Clara Aldana, Jean-Baptiste Caillau, Pedro Freitas. Maximal determinants of Schrödinger operators on bounded intervals. Journal de l'École polytechnique — Mathématiques, École polytechnique, 2020, 7, pp.803-829. ⟨hal-01406270⟩
  • Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Solving chance constrained optimal control problems in aerospace via Kernel Density Estimation. Optimal Control Applications and Methods, Wiley, 2018, 39 (5), pp.1833-1858. ⟨10.1002/oca.2445⟩. ⟨hal-01507063⟩
  • Michaël Orieux, Jean-Baptiste Caillau, Thierry Combot, Jacques Fejoz. Non-integrability of the minimum-time Kepler problem. Journal of Geometry and Physics, Elsevier, 2018, 132, pp.452-459. ⟨10.1016/j.geomphys.2018.06.012⟩. ⟨hal-01679261v2⟩
  • Zheng Chen, Jean-Baptiste Caillau, Yacine Chitour. L$^1$-minimization for mechanical systems. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2016, 54 (3), pp.1245-1265. ⟨10.1137/15M1013274⟩. ⟨hal-01136676⟩
  • Jean-Baptiste Caillau, Lars Grüne, Maria Do Rosário de Pinho, Emmanuel Trélat, Hasnaa Zidani. Special issue on New trends in optimal control. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2015, Special issue on New trends in optimal control, 35 (9), pp. i - iv ⟨10.3934/dcds.2015.35.9i⟩. ⟨hal-01277412⟩
  • Bernard Bonnard, Jean-Baptiste Caillau. Metrics with equatorial singularities on the sphere. Annali di Matematica Pura ed Applicata, Springer Verlag, 2014, 193 (5), pp.1353-1382. ⟨10.1007/s10231-013-0333-y⟩. ⟨hal-00319299v7⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Gabriel Janin. Conjugate-cut loci and injectivity domains on two-spheres of revolution. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2013, 19 (2), pp.533-554. ⟨hal-00802078⟩
  • Jean-Baptiste Caillau, Bilel Daoud, Joseph Gergaud. Minimum fuel control of the planar circular restricted three-body problem. Celestial Mech. Dynam. Astronom., 2012, 114 (1), pp.137-150. ⟨hal-00743098⟩
  • Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud. Differential pathfollowing for regular optimal control problems. Optimization Methods and Software, Taylor & Francis, 2012, 27 (2), pp.177-196. ⟨hal-00641908⟩
  • Jean-Baptiste Caillau, Bilel Daoud. Minimum time control of the restricted three-body problem. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2012, 50 (6), pp.3178-3202. ⟨hal-00599216v4⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Ludovic Rifford. Convexity of injectivity domains on the ellipsoid of revolution: The oblate case. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2011, (to appear). ⟨hal-00540262⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Gautier Picot. Geometric and numerical techniques in optimal control of two and three- body problems. Commun. Inf. Syst., 2010, 10 (4), pp.239-278. ⟨hal-00540261⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Ludovic Rifford. Convexity of injectivity domains on the ellipsoid of revolution: The oblate case. Comptes Rendus Mathématique, Elsevier Masson, 2010, 348 (23-24), ⟨10.1016/j.crma.2010.10.036⟩. ⟨hal-01336325⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Ludovic Rifford. Convexity of injectivity domains on the ellipsoid of revolution: The oblate case. Comptes rendus hebdomadaires des séances de l'Académie des sciences, Elsevier, 2010, 348, pp.1315-1318. ⟨hal-00545768⟩
  • Bernard Bonnard, Jean-Baptiste Caillau. Optimality results in orbit transfer. Comptes rendus hebdomadaires des séances de l'Académie des sciences, Elsevier, 2007, 345, pp.319-324. ⟨hal-00540259⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Second order optimality conditions with applications. Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2007, Dynamical Systems and Differential Equations, Proceedings of the 6th AIMS International Conference,, pp.145--154. ⟨hal-00105493⟩
  • Bernard Bonnard, Jean-Baptiste Caillau. Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2007, 24 (3), pp.395-411. ⟨hal-00540258⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Second order optimality conditions in the smooth case and applications in optimal control. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2007, 13 (2), pp.207--236. ⟨hal-00086380⟩
  • Jean-Baptiste Caillau, Bernard Bonnard, Romain Dujol. Energy minimization of single input orbit transfer by averaging and continuation. Bull. Sci. Math., 2006, 130 (8), pp.707-719. ⟨hal-00540255⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol. Averaging and optimal control of elliptic Keplerian orbits with low propulsion. Systems Control Lett., 2006, 55 (9), pp.755-760. ⟨hal-00540257⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Geometric optimal control of elliptic Keplerian orbits. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2005, Series B, 5 (4), pp.929--956. ⟨hal-00086345⟩
  • Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles. 3D Geosynchronous Transfer of a Satellite: Continuation on the Thrust. Journal of Optimization Theory and Applications, Springer Verlag, 2003, 118 (3), pp.541-565. ⟨hal-00540254⟩
  • Jean-Baptiste Caillau, Joseph Noailles. Sensitivity analysis for time optimal orbit transfer. Optimization, Taylor & Francis, 2001, 49 (4), pp.327-350. ⟨hal-00540246⟩
  • Jean-Baptiste Caillau, Joseph Noailles. Coplanar control of a satellite around the Earth. ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2001, 6, pp.239-258. ⟨hal-00540251⟩

Conference papers22 documents

  • Agustín Yabo, Jean-Baptiste Caillau, Jean-Luc Gouzé. Bacterial growth strategies as Optimal Control problems: maximizing metabolite production. FGS'2019 - 19th French-German-Swiss conference on Optimization, Sep 2019, Nice, France. ⟨hal-02421164⟩
  • Lamberto Dell'Elce, Jean-Baptiste Caillau, Jean-Baptiste Pomet. Multi-phase averaging of time-optimal low-thrust transfers. KePASSA 2019 - 4th International Workshop on Key Topics in Orbit Propagation Applied to Space Situational Awareness, Apr 2019, Logrono, Spain. ⟨hal-02387385⟩
  • Agustín Yabo, Jean-Baptiste Caillau, Jean-Luc Gouzé. Singular regimes for the maximization of metabolite production. CDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02418444⟩
  • Jean-Baptiste Caillau, Michaël Orieux. Sufficient conditions for time optimality of systems with control on the disk. CDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02436211⟩
  • Jean-Baptiste Caillau, Michaël Orieux. Sufficient conditions for time optimality of systems with control on the disk. 58th Conference on Decision and Control, Dec 2019, Nice, France. ⟨hal-02358204⟩
  • Jean-Baptiste Caillau, Sofya Maslovskaya, Thomas Mensch, Timothée Moulinier, Jean-Baptiste Pomet. Zermelo-Markov-Dubins problem and extensions in marine navigation. CDC 2019 - 58th IEEE Conference on Decision and Control, Dec 2019, Nice, France. ⟨10.1109/CDC40024.2019.9029293⟩. ⟨hal-02375015⟩
  • Lamberto Dell'Elce, Jean-Baptiste Caillau, Jean-Baptiste Pomet. Restoring Short-Period Oscillations of the Motion of Averaged Optimal Control Systems. Journées SMAI-MODE, Mar 2018, Autrans, France. ⟨hal-01923019⟩
  • Jean-Baptiste Caillau, Lamberto Dell'Elce, Jean-Baptiste Pomet, Jérémy Rouot. Optimal control of slow-fast mechanical systems. Proceedings of the Complex Systems Academy of Excellence, Jan 2018, Nice, France. pp.105-116. ⟨hal-01953337⟩
  • Jean-Baptiste Caillau. Smooth and broken Hamiltonian curves in optimal control. Recent advances in Hamiltonian dynamics and symplectic topology, 2018, Padova, France. ⟨hal-01956030⟩
  • Jean-Baptiste Caillau, Thierry Dargent, Florentina Nicolau. Approximation by filtering in optimal control and applications. IFAC 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⟩. ⟨hal-01588465⟩
  • Jean-Baptiste Caillau, Bernard Bonnard, Olivier Cots. Energy minimization in two-level dissipative quantum control: The integrable case. Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 2010, Germany. (to appear). ⟨hal-00586231⟩
  • Jean-Baptiste Caillau, Bilel Daoud, Joseph Gergaud. Discrete and differential homotopy in circular restricted three-body control. Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 2010, Germany. (to appear). ⟨hal-00586226⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol. Smooth homotopies for single-input time optimal orbital transfer. 13th IFAC Workshop on Control Applications of Optimisation, 2006, France. pp.26-31. ⟨hal-00540284⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol. Smooth approximations of single-input controlled Keplerian trajectories: homotopies and averaging. Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control, 2006, France. pp.76-95. ⟨hal-00540293⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol. Averaging and optimal control of elliptic Keplerian orbits with low propulsion. 13th IFAC Workshop on Control Applications of Optimisation, 2006, France. pp.20-25. ⟨hal-00540280⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol. Remarks on quadratic Hamiltonians in spaceflight mechanics. 3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 2006, Japan. pp.365-373. ⟨hal-00540295⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Geometric analysis of minimum time Keplerian orbit transfers. Proceedings of the 22nd IFIP TC 7 Conference on System Modeling and Optimization, Torino, Italy., 2006, Torino, Italy. 6 p. ⟨hal-00086456⟩
  • Bernard Bonnard, Jean-Baptiste Caillau. Riemannian metric of the averaged controlled Kepler equation. 22nd IFIP TC 7, 2005, Italy. pp.79-89. ⟨hal-00540278⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Computation of conjugate times in smooth optimal control: the COTCOT algorithm. 2005, 6 p. ⟨hal-00086460⟩
  • Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles. Numerical control and orbital transfers. Optimal Control Workshop, Oct 2002, Munich, Germany. pp.39-49. ⟨hal-00540276⟩
  • Jean-Baptiste Caillau, Joseph Noailles. Continuous optimal control sensitivity analysis with AD. AD'2000, 2000, France. pp.109-117. ⟨hal-00540268⟩
  • Jean-Baptiste Caillau, Joseph Noailles. Wavelets for adaptive solution of boundary value problems. 16th IMACS World Congress, Aug 2000, Lauzanne, Switzerland. pp.1-6. ⟨hal-00540274⟩

Book sections4 documents

  • Jean-Baptiste Caillau, Ariadna Farrés. On local optima in minimum time control of the restricted three-body problem. Bernard 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⟩. ⟨hal-01260120⟩
  • Jean-Baptiste Caillau, Clément Royer. On the injectivity and nonfocal domains of the ellipsoid of revolution. Proceedings 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⟩. ⟨hal-01315530⟩
  • Bernard Bonnard, Jean-Baptiste Caillau. Introduction to nonlinear optimal control. Advanced topics in control systems theory, Springer, pp.1-60, 2006, Lecture Notes in Control and Inform. Sci. 328, ⟨10.1007/11583592_1⟩. ⟨hal-00540265⟩
  • Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles. Minimum time control of the Kepler equation. Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, pp.89-92, 2004. ⟨hal-00540263⟩

Directions of work or proceedings2 documents

  • Maïtine Bergounioux, Jean-Baptiste Caillau, Thomas Haberkorn, Gabriel Peyré, Christoph Schnörr. Variational methods in imaging and geometric control. France. de Gruyter, 2017, Radon Series on Comput. and Applied Math. ⟨hal-01315508⟩
  • Jean-Baptiste Caillau, Monique Chyba, Dominique Sugny, Emmanuel Trélat. Special issue in the honor of Bernard Bonnard. Part I and II. France. 3 (3-4), 2013, Math. Control Relat. Fields. ⟨hal-01315512⟩

Other publications4 documents

  • Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Kernel Density Estimation applied to the chance-constrained Goddard problem. 2016. ⟨hal-01408897⟩
  • Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Chance constrained optimization of a three-stage launcher. 2016. ⟨hal-01408885⟩
  • Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Chance constrained optimization of a three-stage launcher . 2015. ⟨hal-01408875⟩
  • Jean-Baptiste Caillau, Max Cerf, Achille Sassi, Emmanuel Trélat, Hasnaa Zidani. Optimisation d’un lanceur. 2015. ⟨hal-01408836⟩

Preprints, Working Papers, ...17 documents

  • Michel Barlaud, Antonin Chambolle, Jean-Baptiste Caillau. Robust supervised classification and feature selection using a primal-dual method. 2019. ⟨hal-01992399v2⟩
  • Yuxiang Zhou, Jean-Baptiste Caillau, Marc Antonini, Michel Barlaud. Robust classification with feature selection using alternating minimization and Douglas-Rachford splitting method. 2019. ⟨hal-01993753⟩
  • Jean-Baptiste Caillau, Jacques Fejoz, Michaël Orieux, Robert Roussarie. Singularities of min time affine control systems. 2018. ⟨hal-01718345⟩
  • Lamberto Dell'Elce, Jean-Baptiste Caillau, Jean-Baptiste Pomet. Averaging Optimal Control Systems with Two Fast Variables. 2018. ⟨hal-01793704⟩
  • Cyprien Gilet, Marie Deprez, Jean-Baptiste Caillau, Michel Barlaud. Clustering with feature selection using alternating minimization. Application to computational biology. 2017. ⟨hal-01671982⟩
  • Jean-Baptiste Caillau. Injectivity domain of ellipsoid of revolution. The oblate case.. 2010. ⟨hal-00487386⟩
  • Jean-Baptiste Caillau, Bilel Daoud, Joseph Gergaud. On some Riemannian aspects of two and three-body controlled problems. 2009. ⟨hal-00432635v2⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Gautier Picot. Geometric and numerical techniques in optimal control of the two and three-body problems. 2009. ⟨hal-00432631⟩
  • Bernard Bonnard, Jean-Baptiste Caillau. Geodesic flow of the averaged controlled Kepler equation. 2008. ⟨hal-00134702v6⟩
  • Bernard Bonnard, Jean-Baptiste Caillau. Note on singular Clairaut-Liouville metrics. 2008. ⟨hal-00202493v3⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Robert Sinclair, Minoru Tanaka. Conjugate and cut loci of a two-sphere of revolution with application to optimal control. 2008. ⟨hal-00212075v2⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Minoru Tanaka. One-parameter family of Clairaut-Liouville metrics. 2007. ⟨hal-00177686v3⟩
  • Jean-Baptiste Caillau. Formulary of geodesics of the projected averaged Kepler Hamiltonian. 2007. ⟨hal-00130214v3⟩
  • Bernard Bonnard, Jean-Baptiste Caillau. Conjugate and cut loci in averaged orbital transfer. 2006. ⟨hal-00129774⟩
  • Bernard Bonnard, Jean-Baptiste Caillau. A global optimality result with application to orbital transfer. 2006. ⟨hal-00129535⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Second order optimality conditions in optimal control with applications. 2006. ⟨hal-00090374⟩
  • Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat. Cotcot: short reference manual. 2005. ⟨hal-00086640⟩

Reports1 document

  • Jean-Baptiste Caillau. Convexity of injectivity domains on the ellipsoid of revolution: The oblate case (addendum). 2011. ⟨hal-00564457⟩

Theses1 document

  • Jean-Baptiste Caillau. Contribution a l'etude du controle en temps minimal des transferts orbitaux. Mathématiques [math]. Institut National Polytechnique de Toulouse - INPT, 2000. Français. ⟨tel-00001182⟩

Habilitation à diriger des recherches1 document

  • Jean-Baptiste Caillau. Sur la géométrie des transferts orbitaux. Mathématiques [math]. Institut National Polytechnique de Toulouse - INPT, 2006. ⟨tel-00125863v2⟩