Publications of Joseph GERGAUD
Bernard Bonnard, Olivier Cots, Joseph Gergaud, Boris Wembe
Abnormal Geodesics in 2D-Zermelo Navigation Problems in the Case of Revolution and the Fan Shape of the Small Time Balls
Systems and Control Letters, 2022, 161, pp.105140. ⟨10.1016/j.sysconle.2022.105140⟩
Olivier Cots, Joseph Gergaud, Damien Goubinat, Boris Wembe
Singular versus boundary arcs for aircraft trajectory optimization in climbing phase
ESAIM: Mathematical Modelling and Numerical Analysis, 2022, 57 (2), pp.817-839. ⟨10.1051/m2an/2022101⟩
Olivier Cots, Joseph Gergaud, Damien Goubinat
Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft
Optimal Control Applications and Methods, 2017, pp.23
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
BibTeXPierre Martinon, Joseph Gergaud
Using switching detection and variational equations for the shooting method.
In : Optimal Control, Applications and Methods, Wiley, Vol. 28 N. 2, pp. 95-116, March 2007.
Abstract URL : http://www.irit.fr/publis/APO/Martinon-Gergaud-OCAM2006-preprint.pdf
BibTeXJoseph Gergaud, Thomas Haberkorn
Orbital transfer: Some links between the low-thrust and the impulse cases
In : Acta Astronautica, Elsevier, Vol. 60 N. 8-9, pp. 649-657, April 2007.
Joseph Gergaud, Thomas Haberkorn
Homotopy Method for minimum consumption orbit transfer problem
In : ESAIM : Control, Optimisation and Calculus of Variations, EDP Sciences, Vol. 12 N. 2, pp. 294-310, April 2006.
Thomas Haberkorn, Pierre Martinon, Joseph Gergaud
Low thrust minimum-fuel orbital transfer: a homotopic approach
In : Journal of Guidance, Control, and Dynamics, American Institute of Aeronautics and Astronautics, 1801 Alexander Bell Drive – Suite 500 – Reston, VA 20191-4344 USA, Vol. 27 N. 6, pp. 1046-1060, November 2004.
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.
Joseph Gergaud, Jean-Baptiste Caillau, Olivier Cots, Pierre Martinon
control-toolbox: solving control problems within Julia
FGS Conference on Optimization 2024, Jun 2024, Gijon (SPAIN), Spain
Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud, Pierre Martinon
Solving optimal control problems with Julia
Julia and Optimization Days 2023, CNAM; CNRS – Groupe CALCUL, Oct 2023, Paris, France
Jean-Baptiste Caillau, Olivier Cots, Joseph Gergaud, Pierre Martinon
Solving optimal control problems with Julia (talk)
JuliaCon 2023, MIT: Massachusetts Institute of Technology, Cambridge, MA, USA, Jul 2023, Cambridge, Boston, United States
Olivier Cots, Joseph Gergaud, Boris Wembe
Homotopic approach for turnpike and singularly perturbed optimal control problems
19th French-German-Swiss conference on Optimization, Sep 2021, Nice, France
Olivier Cots, Joseph Gergaud, Nataliya Shcherbakova
SMITH: differential homotopy and automatic differentiation for computing thermodynamic diagrams of complex mixtures
31th European Symposium on Computer Aided Process Engineering (ESCAPE-31 2021), European Federation of Chemical Engineering (EFCE); CAPE Working Party(CAPE-WP); Chamber of Chemical Engineers of Turkey (KMO); Koc University, Istanbul, Jun 2021, Istanbul, Turkey. ⟨10.1016/B978-0-323-88506-5.50166-2⟩
Carlos Balsa, Olivier Cots, Joseph Gergaud, Boris Wembe
Minimum energy control of passive tracers advection in point vortices flow
14th International Conference on Automatic Control and Soft Computing (CONTROLO 2020), Jul 2020, Bragança, Portugal
Olivier Cots, Joseph Gergaud, Damien Goubinat
Time-optimal aircraft trajectories in climbing phase and singular perturbations
20th World Congress of the International Federation of Automatic Control (IFAC 2017), Jul 2017, Toulouse, France. pp.1625-1630, ⟨10.1016/j.ifacol.2017.08.327⟩
Olivier Cots, Patrick Delpy, Joseph Gergaud, Damien Goubinat
On the minimum time optimal control problem of an aircraft in its climbing phase
7th Euporean Conferencer for Aeronautics and Aerospace Sciences (EUCASS 2017), Jul 2017, Milan, Italy. pp.1-14
Olivier Cots, Joseph Gergaud, Damien Goubinat
Perturbation singulière en contrôle optimal et le problème de montée en temps minimal d’un avion (Congrès SMAI 2017, Ronce-les-bains, 05/06/17-09/06/17)
Congrès SMAI 2017, Jun 2017, Ronce-les-bains, Région indéterminée
Damien Goubinat, Olivier Cots, Joseph Gergaud
Problème de contrôle optimal en temps minimal pour un avion contraint en phase de montée
Journées de la Société de Mathémathiques Appliquées et Industrielles – Mathématiques de l’Optimisation et de la DEcision (SMAI-MODE 2016), Groupe thématique MODE (Mathématiques de l’Optimisation et de la DEcision) de la Société de Mathémathiques Appliquées et Industrielles (SMAI), Mar 2016, Toulouse, France
Damien Goubinat, Olivier Cots, Joseph Gergaud
Numerical Analysis in Optimal Control Problem for Aircraft Trajectories
17th British-French-German Conference on Optimization (BGS 2015), Department of Computing, Imperial College London; Centre for Process Systems Engineering, Imperial College London; Imperial College Business School, Jun 2015, London, United Kingdom
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.
Résolution des problèmes de contrôle optimal
In : CCT SCA — Systèmes de Commande et Automatique, Toulouse, 09/05/11-10/05/11 (invited speaker).
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.
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).
Pierre Martinon, Joseph Gergaud
Numerical conservation of invariants for an optimal control problem with control discontinuities
In : Czech-French-German Conference on Optimization, Heidelberg, 17/09/07-21/09/07.
Pierre Martinon, Joseph Gergaud
Détection de commutations et utilisation des équations variationnelles pour la méthode de tir
In : CODE-2007: Conférence de la SMAI sur l’Optimisation et la Décision, Institut Henri Poincaré, Paris, 18/01/07-20/01/07.
Joseph Gergaud, Thomas Haberkorn
Low Thrust Minimum-Fuel Orbital Transfer: A Homotopic Approach
In : 3rd ESA Workshop on Astrodynamics tools and Techniques, ESTEC, Noordwijk, The Netherlands, 02/10/06-05/10/06.
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.
Pierre Martinon, Joseph Gergaud
An application of PL continuation methods to singular arcs problems
In : 12th French-German-Spanish Conference on Optimization, Avignon, France, 20/09/04-24/09/04, A. Seeger (Eds.), Springer-Verlag, Berlin Heidelberg, pp. 163-186, September 2004.
Joseph Gergaud, Thomas Haberkorn
Transfert orbital à poussée faible: le problème de consommation minimale
In : Atelier “Commande optimale et boucle fermée” du Centre de Compétence Technique du CNES, Toulouse, 04/10/04-05/10/04.
Sur la résolution numérique des problèmes de contrôle optimal
In : Atelier “Commande optimale et boucle fermée” du Centre de Compétence Technique du CNES, Toulouse, 04/10/04-05/10/04.
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.
Thomas Haberkorn, Joseph Gergaud
MfMax, a software based on differential homotopy for solving low thrust orbital transfer problem with maximization of the final mass
In : French-German-Spanish Conference on Optimization, Avignon, 20/09/04-24/09/04.
Pierre Martinon, Joseph Gergaud
Méthode homotopique simpliciale: application à un problème de transfert orbital
In : 11ème journées MODE de la SMAI, Université de Pau et des Pays de l’Adour, 27/03/03-29/03/03.
Thomas Haberkorn, Joseph Gergaud
Méthode homotopique différentielle: application à un problème de transfert orbital
In : 11ème journées MODE de la SMAI, Université de Pau et des Pays de l’Adour, 27/03/03-29/03/03.
URL : http://enseeiht.fr/lima/apo/membres/haberkorn/Doc/mode_03.pdf
BibTeXRésolution numérique de problème de contrôle optimal via la condition nécessaire, application au problème de transfert d’orbite à faible poussée
In : Présentation TIPE 2003 au Lycée Pierre de Fermat, Toulouse, 14/01/03.
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.
Joseph Gergaud, Thomas Haberkorn, Pierre Martinon
Homotopy methods for low thrust orbital transfer problem with maximization of the final mass
In : French-German-Polish Conference on Optimization, Cottbus (germany), 09/09/02-13/09/02.
Résolution de problèmes de transfert d’orbite à faible poussée par les méthodes indirectes
In : Séminaire CPGE, ENSEEIHT, Toulouse, .
Joseph Gergaud, Joseph Noailles
A new method for time optimal control problem and its application to low thrust orbital transfert
In : Low thrust trajectory optimization, Toulouse, 07/03/00-08/03/00.
Joseph Noailles, Joseph Gergaud
Une méthode de résolution des problèmes de contrôle optimal : éléments de comparaison avec les démarches classiques
In : 8ème Journées MODE de la SMAI, Université Paul Sabatier, Toulouse, 23/03/00-25/03/00.
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.
Joseph Gergaud, Joseph Noailles
Problèmes d’optimisation de trajectoires: difficultés des algorithmes de tir, résolution par une démarche homotopique
In : Séminaire Université Paul Sabatier, Toulouse, .
Joseph Gergaud, Joseph Noailles
Problème d’optimisation de trajectoires: difficultés des algorithmes de tir, résolution par une démarche homotopique
In : Proceedings of the International Symposium Space Dynamics, Toulouse, Cepadues-Editions, pp. 693-705, June 1995.
Joseph Gergaud, Joseph Noailles
Application of simplicial algorithms to a spacecraft trajectory optimization problem
In : IFACS, Tbilissi, .
Numerical Tools for Geometric Optimal Control and the Julia control-toolbox package
Bernard Bonnard; Monique Chyba; David Holcman; Emmanuel Trélat. Ivan KUPKA LEGACY: A Tour Through Controlled Dynamics, 58 (chapter 10), AIMS Sciences, pp.209–243, 2024, AIMS on Applied Mathematics, 978-1-60133-026-0
Jean-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.
Sur la résolution numérique de problèmes de contrôle optimal à solution bang-bang via les méthodes homotopies
HDR, Université de Toulouse, February 2008.
Résolution numérique de problèmes de commande optimale à solution Bang-Bang par des méthodes homotopiques simpliciales
Master’s Thesis, Institut National Polytechnique de Toulouse, January 1989.
Olivier Cots, Joseph Gergaud, Damien Goubinat
Numerical Analysis of Optimal Control Problems for Aircraft Trajectory Computation (Poster)
3rd Workshop Geometric control and related fields (2014), Nov 2014, Linz, Austria. , 2014
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.
Olivier Cots, Joseph Gergaud, B Wembe
About the minimal time control of passive tracers in presence of a single point vortex
2019
Olivier Cots, Joseph Gergaud, D Goubinat
The minimum time-to-climb and fuel consumption problems and CAS/Mach procedure for aircraft
2018
Optimisation de l’énergie d’un véhicule électrique, Salon de l’automobile Toulouse
Diffusion scientifique. November 2011.