Publications of
Jean-Baptiste Caillau, Bilel Daoud
Minimum time control of the restricted three-body problem
In : SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics (SIAM), USA, Vol. 50 N. 6, pp. 3178-3202, 2012.
Jean-Baptiste Caillau, Bilel Daoud, Joseph Gergaud
Minimum fuel control of the planar circular restricted three-body problem
In : Celestial Mechanics and Dynamical Astronomy, Springer, Vol. 114 N. 1, pp. 137-150, 2012.
URL : http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s10569-012-9443-x
BibTeXJean-Baptiste Caillau, Olivier Cots, Joseph Gergaud
Differential pathfollowing for regular optimal control problems
In : Optimization Methods and Software, Taylor & Francis Group, Special issue OMS special issue dedicated to 60th birthday of Andreas Griewank, Vol. 27 N. 2, pp. 177-196, 2012.
Abstract URL : http://dx.doi.org/10.1080/10556788.2011.593625
BibTeXBernard Bonnard, Jean-Baptiste Caillau, Robert Sinclair, Minoru Tanaka
Conjugate and cut loci of a two-sphere of revolution with application to optimal control
In : Annales de l’Institut Henri Poincaré- Analalyse Non Linéaire, Elsevier, Vol. 26 N. 4, pp. 1081-1098, 2009.
Bernard Bonnard, Jean-Baptiste Caillau
Geodesic flow of the averaged controlled Kepler equation
In : Forum Mathematicum, de Gruyter, Berlin – Germany, Vol. 21 N. 5, pp. 797-814, 2009.
Bernard Bonnard, Jean-Baptiste Caillau
Optimality results in orbit transfer
In : C. R. Acad. Sci. Paris, Ser. I, Académie des Sciences, Vol. 345, pp. 319-324, 2007.
Bernard Bonnard, Jean-Baptiste Caillau
Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust
In : Annales de l’Institut Henri Poincaré, Elsevier, Vol. 24 N. 3, pp. 395-411, 2007.
Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat
Second order optimality conditions in the smooth case and applications in optimal control
In : ESAIM : Control, Optimisation and Calculus of Variations, EDP Sciences, Vol. 13 N. 2, pp. 207-236, 2007.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Energy minimization of single input orbit transfer by averaging and continuation
In : Bulletin des Sciences Mathématiques, Elsevier, Vol. 130 N. 8, pp. 707-719, February 2006.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Averaging and optimal control of elliptic Keplerian orbits with low propulsion
In : Systems and Control Letters, Elsevier, Vol. 55 N. 9, pp. 755-760, 2006.
Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat
Geometric optimal control of elliptic Keplerian orbits
In : Discrete and Continuous Dynamical Systems, Series B, Vol. 5 N. 4, pp. 929-956, 2005.
Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles
3D Geosynchronous Transfer of a Satellite: Continuation on the Thrust
In : Journal of Optimization Theory and Applications, Vol. 118 N. 3, pp. 541-565, 2003.
Jean-Baptiste Caillau, Joseph Noailles
Coplanar control of a satellite around the Earth
In : ESAIM Control, Optimisation and Calculus of Variations, EDP Sciences, SMAI, Vol. 6, pp. 239-258, February 2001.
Jean-Baptiste Caillau, Joseph Noailles
Sensitivity analysis for time optimal orbit transfer
In : Optimization, Gordon and Breach Science, Overseas Publishers Association, Amsterdam, Vol. 49 N. 4, pp. 327-350, 2001.
Bernard Bonnard, Jean-Baptiste Caillau, Olivier Cots
Energy minimization in two-level dissipative quantum control : The integrable case (regular paper)
In : AIMS conference on Dynamical Systems, Differential Equations and Applications, Dresden, 25/05/10-28/05/10, American Institute of Mathematical Sciences (AIMS), pp. 198-208, 2011.
Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud
On solving optimal control problems by continuation and multiple shooting methods
In : 15th Austrian-French-German conference on Optimization, Toulouse, 19/09/11-23/09/11.
Bilel Daoud, Jean-Baptiste Caillau, Max Cerf
Optimal control of two-body problem: Fixed final time low thrust orbital transfer around the Earth.
In : SIAM Conference on Control and Its Applications, Baltimore, Maryland, USA, 25/07/11-27/07/11.
Bilel Daoud, Jean-Baptiste Caillau, Joseph Gergaud
Topological methods in optimal control of the restricted three-body problem
In : 7th International Congress in Industrial and Applied Mathematics, Vancouver, British Columbia, Canada, 18/07/11-22/07/11.
Bernard Bonnard, Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud
Résolution d’un problème de contraste en imagerie par Résonance Magnétique Nucléaire
In : Congrès SMAI, Guidel, 23/05/11-27/05/11.
Jean-Baptiste Caillau, Bilel Daoud, Joseph Gergaud
Discrete and differential homotopy in circular restricted three-body control (regular paper)
In : AIMS conference on Dynamical Systems, Differential Equations and Applications, Dreden, 25/05/10-28/05/10, Wei Feng, Zhaosheng Feng, Maurizio Grasselli, Xin Lu, Stefan Siegmund (Eds.), American Institute of Mathematical Sciences (AIMS), pp. 229-239, 2011.
Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud
Suivi de chemin différentiel pour problèmes aux deux bouts hamiltoniens (poster)
In : Journées MODE, Limoges, 24/03/10-26/03/10.
Bilel Daoud, Jean-Baptiste Caillau, Joseph Gergaud
Low thrust minimum transfer from Earth to Moon
In : 4th International Conference on Astrodynamics Tools and Techniques, European Space Astronomy Center, Madrid, Spain, 03/05/10-06/05/10.
Bilel Daoud, Jean-Baptiste Caillau, Joseph Gergaud
Problème des trois corps restreint, contrôle en consommation minimale
In : GdR Mathématiques de lOptimisation et Applications Conférence Annuelle, Institut Henri Poincaré, Paris, 18/10/10-20/10/10.
Jean-Baptiste Caillau, Bilel Daoud, Joseph Gergaud
On some Riemannian aspects of two and three-body controlled problems (regular paper)
In : Belgian-French-German Conference on Optimization, Leuven, 14/09/09-18/09/09 (invited speaker), M. Diehl, F. Glineur, E. Jarlebring, W. Michiels (Eds.), Springer, Recent Advances in Optimization and its Applications in Engineering, pp. 205-224, 2010.
Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud
Hampath — on solving optimal control problems by indirect and path following methods
In : 6th Workshop, SDS2010, STRUCTURAL DYNAMICAL SYSTEM:Computational Aspects, Capitolo, Monopoli, Italy, 08/06/10-11/06/10.
Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud
Hampath — A software for solving optimal control problems by indirect and path following methods (poster)
In : ADVANCED METHODS AND PERSPECTIVES IN NONLINEAR OPTIMIZATION AND CONTROL, Toulouse, 03/02/10-05/02/10.
Bilel Daoud, Jean-Baptiste Caillau, Joseph Gergaud
Problèmes à deux et trois corps en contrôle optimal
In : SMAI 2009, Belambra Club (VVF) La bergerie La Colle sur Loup, Alpes Maritimes, 25/05/09-29/05/09.
Joseph Gergaud, Jean-Baptiste Caillau, Thomas Haberkorn, Pierre Martinon
On the numerical resolution of optimal control problem: an application to orbital transfer
In : Optimal Control Theory in Space and Quantum Dynamics, Dijon, France, 24/06/08-25/06/08.
On the geometry of orbital transfers
In : CONTROL, OPTIMIZATION AND STABILITY OF NON-LINEAR SYSTEMS: GEOMETRIC AND ANALYTIC METHODS, SISSA, Trieste, 30/05/07-01/06/07 (invited speaker).
Joseph Gergaud, Jean-Baptiste Caillau, Thomas Haberkorn
On second order conditions for the minimum consumption orbit transfer problem
In : Czech-French-German Conference on Optimization, Heidelberg, 17/09/07-21/09/07 (invited speaker).
Geometric and numerical control in orbit transfer
In : Mathematical Control Theory and Mechanics, Suzdal, 21/06/07-27/06/07.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Smooth homotopies for single-input time optimal orbital transfer
In : IFAC Workshop on Control Applications of Optimisation, Paris, 26/04/06-28/04/06, Vol. 5, Indian Society for Development & Environment Research, pp. 26-31, 2007.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Averaging and optimal control of elliptic Keplerian orbits with low propulsion
In : IFAC Workshop on Control Applications of Optimisation, Paris, 26/04/06-28/04/06, Vol. 5, Indian Society for Development & Environment Research, pp. 20-25, 2007.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Smooth approximations of single-input controlled Keplerian trajectories: homotopies and averaging
In : Taming Heterogeneity and Complexity of Embedded Control (Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control), Paris, 10/07/06-12/07/06, F. Lamnabhi, S. Laghrouche, A. Loria, E. Panteley (Eds.), International Scientific and Technical Encyclopedia (ISTE) (Hermès), pp. 73-96, 2007.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Remarks on quadratic Hamiltonians in spaceflight mechanics
In : IFAC Workshop on Lagrangian and Hamiltonian Methods in Nonlinear Control, Nagoya, 19/07/06-21/07/06, F. Bullo, K. Fujimoto (Eds.), Springer-Verlag, Lecture Notes in Control and Inform. Sci. 366, pp. 365-373, 2007.
Approximation Riemannienne de l’équation de Kepler contrôlée
In : Séminaire équations différentielles ordinaires et contrôle, Institut de Mathématiques de Bourgogne, 24/03/06-24/03/06.
Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat
Second order optimality conditions in optimal control with applications
In : AIMS conference on Dynamical Systems, Differential Equations and Applications, Poitiers, 25/06/06-28/06/06, American Institute of Mathematical Sciences (AIMS), pp. 145-154, June 2006.
Bernard Bonnard, Jean-Baptiste Caillau, Romain Dujol
Riemannian metric of the averaged controlled Kepler equation
In : 22nd IFIP TC 7 Conference on System Modelling and Optimization, Turin, 18/07/05-22/07/05, Vol. 202, Springer, IFIP Series, pp. 79-89, July 2005.
Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles
Contrôle de l’équation de Kepler : application aux transferts orbitaux
In : SMAI, Evian, 01/05/05-01/05/05.
Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat
Geometric analysis of minimum time Keplerian orbit transfers
In : 22nd IFIP TC 7 Conference on System Modeling and Optimization, Turin, 01/07/05-01/07/05, xx, July 2005.
Bernard Bonnard, Jean-Baptiste Caillau, Emmanuel Trélat
Computation of conjugate times in smooth optimal control: the COTCOT algorithm
In : 44th IEEE Conf. on Decision and Control / European Conf. on Control, Seville, 01/12/05-01/12/05, IEEE, pp. 929-933, December 2005.
Jean-Baptiste Caillau, Romain Dujol, Joseph Gergaud, Thomas Haberkorn, Pierre Martinon, Joseph Noailles, Dorin Preda
Control of orbit transfers
In : First joint Canada-France meeting of the mathematical sciences, Toulouse, 12/07/04-15/07/04.
Controle optimal et application en mecanique spatiale
In : Atelier optimisation de l’ENSEEIHT, ENSEEIHT, Toulouse, 04/03/04-04/03/04.
Jean-Baptiste Caillau, Romain Dujol, Joseph Noailles
Construction de transferts d’orbites sous-optimaux
In : 12emes Journees MODE de la SMAI, Le Havre, 25/03/04-27/03/04.
Alexandre Augot, Jean-Baptiste Caillau, Matthieu Bernier, Joseph Noailles, Alain Philippon
Automate d’hemoculture Bact/Alert : modelisation et classification de courbes de croissance
In : 23rd Interdisciplinary Meeting on Anti-infectious Chemotherapy (RICAI), Paris, 01/12/03-05/12/03.
Joseph Noailles, Jean-Baptiste Caillau, Joseph Gergaud
Trajectory optimization and numerical optimal control
In : Applied Mathematics and Applications of Mathematics (AMAM), Nice, 10/02/03-13/02/03.
Jean-Baptiste Caillau, Joseph Gergaud, Thomas Haberkorn, Pierre Martinon, Joseph Noailles
Numerical optimal control and orbital transfers
In : Optimal Control Workshop, Greifswald, 01/10/02-01/10/02, Technische Universität München, pp. 39-49, October 2002.
Applications du controle en mecanique spatiale
In : Journees Commande d’Orleans, Orleans, France, 30/01/02-31/01/02.
Parametric control in celestial mechanics
In : 3rd Workshop on Stability and Sensitivity of Optimal Control Problems, Burg, Germany, 02/05/01-04/05/01.
Controle optimal et transfert d’orbite
In : Seminaire MIP, Universite Paul Sabatier, Toulouse, 27/02/01-27/02/01.
Jean-Baptiste Caillau, Joseph Noailles
Wavelets for adaptive solution of boundary value problems
In : 16 th IMACS Conference, EPFL, Lausanne, Switzerland, 21/08/00-25/08/00, IMACS, Dept. of Computer ScienceRutgers UniversityNew Brunswick – NJ 08903USA, pp. 1-6, August 2000.
Jean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles
Continuation technique for a weakly controlled sattelite
In : Nonlinear Analysis 2000, Courant Institute, New-York, 28/05/00-02/06/00.
Jean-Baptiste Caillau, Joseph Noailles
Etude geometrique d’un transfert d’orbite
In : Huitiemes Journees du groupe MODE de la SMAI, Toulouse, France, 23/03/00-25/03/00.
Jean-Baptiste Caillau, Joseph Noailles
Parametric approach for time optimal control
In : Sixth International Conference on Parametric Optimization and Related Topics, PARAOPT VI, Dubrovnik, Croatia, 04/10/99-08/10/99.
Jean-Baptiste Caillau, Joseph Noailles
Time optimal orbit transfer
In : Nonlinear Sciences on the Border of Milleniums, conference dedicated to the 275th anniversary of Russian Academy of Sciences, Saint-Petersburg, Russia, 22/06/99-24/06/99.
Jean-Baptiste Caillau, Joseph Noailles
Ondelettes pour la résolution adaptative de problèmes linéaires aux deux bouts
In : Séminaire CESAME de l’Universite Catholique de Louvain, Louvain-la-Neuve, Belgique, 16/06/98-16/06/98.
Bernard Bonnard, Jean-Baptiste Caillau
Introduction to nonlinear optimal control
In : Advanced topics in control systems theory. Antonio Loria, Françoise Lamnabhi-Lagarrigue, Elena Panteley (Eds.) , Springer, pp. 1-60, Vol. 328, Lecture Notes on Control and Information Sciences, 2006.
URL : http://www.springer.com/sgw/cda/frontpage/0 – 11855 – 4-175-22-110651991-detailsPage%253Dppmmedia%257Ctoc%257Ctoc – 00.html
BibTeXJean-Baptiste Caillau, Joseph Gergaud, Joseph Noailles
Minimum time control of the Kepler equation
In : Unsolved Problems in Mathematical Systems and Control Theory. Vincent D. Blondel, Alexandre Megretski (Eds.) , Princeton University Press, pp. 89-92, 2004.
Jean-Baptiste Caillau, Joseph Noailles
Continuous sensitivity analysis with AD
In : Automatic Differentiation: From Simulation to Optimization. George Corliss, Christèle Faure, Andreas Griewank, Laurent Hascoet, Uwe Naumann (Eds.) , Springer, pp. 109-117, 2002.
Sur la géométrie des transferts orbitaux
HDR, Institut National Polytechnique de Toulouse, December 2006.
Contribution à l’étude du contrôle en temps minimal des transferts orbitaux
Master’s Thesis, Institut National Polytechnique de Toulouse, November 2000.
Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud
Suivi de chemin différentiel pour problèmes aux deux bouts hamiltoniens (poster)
In : Journées MODE, Limoges, 24/03/10-26/03/10.
Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud
Hampath — A software for solving optimal control problems by indirect and path following methods (poster)
In : ADVANCED METHODS AND PERSPECTIVES IN NONLINEAR OPTIMIZATION AND CONTROL, Toulouse, 03/02/10-05/02/10.