Joseph Gergaud

Professeur émérite
34
Documents

Publications

Publications

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Solving optimal control problems on GPU with Julia

Jean-Baptiste Caillau , Olivier Cots , Joseph Gergaud , Pierre Martinon

JuliaCon local Paris 2025 - European conference on the Julia programming language, Julia / CNAM, Oct 2025, Paris, France

Communication dans un congrès hal-05295792v1

Trajectory optimisation in space mechanics with Julia

Joseph Gergaud , Jean-Baptiste Caillau , Olivier Cots , Alesia Herasimenka

JuliaCon 2024 - 11th Conference on the Julia programming language, Jul 2024, Eindhoven, Netherlands

Communication dans un congrès hal-04724679v1
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control-toolbox: solving control problems within Julia

Joseph Gergaud , Jean-Baptiste Caillau , Olivier Cots , Pierre Martinon

FGS 2024 - 21st French-German-Spanish conferences on Optimization, Oviedo University, Jun 2024, Gijón, Asturias, Spain. à paraître

Communication dans un congrès hal-04651475v1
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Solving optimal control problems with Julia

Jean-Baptiste Caillau , Olivier Cots , Joseph Gergaud , Pierre Martinon

Julia and Optimization Days 2023, CNAM; CNRS - Groupe CALCUL, Oct 2023, Paris, France

Communication dans un congrès hal-04277441v1

Solving optimal control problems with Julia (talk)

Jean-Baptiste Caillau , Olivier Cots , Joseph Gergaud , Pierre Martinon

JuliaCon 2023, MIT: Massachusetts Institute of Technology, Cambridge, MA, USA, Jul 2023, Cambridge, Boston, United States

Communication dans un congrès hal-04277383v1
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Homotopic approach for turnpike and singularly perturbed optimal control problems

Olivier Cots , Joseph Gergaud , Boris Wembe

19th French-German-Swiss conference on Optimization, Sep 2021, Nice, France

Communication dans un congrès hal-02338881v2
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SMITH: differential homotopy and automatic differentiation for computing thermodynamic diagrams of complex mixtures

Olivier Cots , Joseph Gergaud , Nataliya Shcherbakova

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⟩

Communication dans un congrès hal-03807030v1
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Minimum energy control of passive tracers advection in point vortices flow

Carlos Balsa , Olivier Cots , Joseph Gergaud , Boris Wembe

14th International Conference on Automatic Control and Soft Computing (CONTROLO 2020), Jul 2020, Bragança, Portugal

Communication dans un congrès hal-02865231v1
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Time-optimal aircraft trajectories in climbing phase and singular perturbations

Olivier Cots , Joseph Gergaud , Damien Goubinat

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⟩

Communication dans un congrès hal-02871308v1

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)

Olivier Cots , Joseph Gergaud , Damien Goubinat

Congrès SMAI 2017, Jun 2017, Ronce-les-bains, Région indéterminée

Communication dans un congrès hal-03116288v1
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On the minimum time optimal control problem of an aircraft in its climbing phase

Olivier Cots , Patrick Delpy , Joseph Gergaud , Damien Goubinat

7th Euporean Conferencer for Aeronautics and Aerospace Sciences (EUCASS 2017), Jul 2017, Milan, Italy. pp.1-14

Communication dans un congrès hal-02559831v1

Problème de contrôle optimal en temps minimal pour un avion contraint en phase de montée

Damien Goubinat , Olivier Cots , Joseph Gergaud

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

Communication dans un congrès hal-03172253v1

Numerical Analysis in Optimal Control Problem for Aircraft Trajectories

Damien Goubinat , Olivier Cots , Joseph Gergaud

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

Communication dans un congrès hal-03213953v1

Discrete and differential homotopy in circular restricted three-body control

Jean-Baptiste Caillau , Bilel Daoud , Joseph Gergaud

Proceedings of the 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 2010, Dresden, Germany. pp.229-239

Communication dans un congrès hal-00586226v1

Numerical control and orbital transfers

Jean-Baptiste Caillau , Joseph Gergaud , Joseph Noailles

Optimal Control Workshop, Oct 2002, Munich, Germany. pp.39-49

Communication dans un congrès hal-00540276v1
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Numerical Tools for Geometric Optimal Control and the Julia control-toolbox package

Olivier Cots , Joseph Gergaud

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

Chapitre d'ouvrage hal-04578955v1

Minimum time control of the Kepler equation

Jean-Baptiste Caillau , Joseph Gergaud , Joseph Noailles

Unsolved Problems in Mathematical Systems and Control Theory, Princeton University Press, pp.89-92, 2004

Chapitre d'ouvrage hal-00540263v1
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Abnormal Geodesics in 2D-Zermelo Navigation Problems in the Case of Revolution and the Fan Shape of the Small Time Balls

Bernard Bonnard , Olivier Cots , Joseph Gergaud , Boris Wembe

Systems and Control Letters, 2022, 161, pp.105140. ⟨10.1016/j.sysconle.2022.105140⟩

Article dans une revue hal-02437507v6
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Singular versus boundary arcs for aircraft trajectory optimization in climbing phase

Olivier Cots , Joseph Gergaud , Damien Goubinat , Boris Wembe

ESAIM: Mathematical Modelling and Numerical Analysis, 2022, 57 (2), pp.817-839. ⟨10.1051/m2an/2022101⟩

Article dans une revue hal-03896137v1
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Direct and indirect methods in optimal control with state constraints and the climbing trajectory of an aircraft

Olivier Cots , Joseph Gergaud , Damien Goubinat

Optimal Control Applications and Methods, 2017, pp.23

Article dans une revue hal-01367918v2
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Differential continuation for regular optimal control problems

Jean-Baptiste Caillau , Olivier Cots , Joseph Gergaud

Optimization Methods and Software, 2012, 27 (2), pp.177-196. ⟨10.1080/10556788.2011.593625⟩

Article dans une revue hal-00641908v1

Minimum fuel control of the planar circular restricted three-body problem

Jean-Baptiste Caillau , Bilel Daoud , Joseph Gergaud

Celestial Mech. Dynam. Astronom., 2012, 114 (1), pp.137-150

Article dans une revue hal-00743098v1
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Using switching detection and variational equations for the shooting method

Pierre Martinon , Joseph Gergaud

Optimal Control Applications and Methods, 2007, 28 (2), pp.95-116

Article dans une revue inria-00271155v1

Orbital transfer: Some links between the low-thrust and the impulse cases

Thomas Haberkorn , Joseph Gergaud

Acta Astronautica, 2007, 60 (6-9), pp.649-657

Article dans une revue hal-00367432v1

An application of PL continuation methods to singular arcs problems

Joseph Gergaud , Pierre Martinon

Lecture notes in economics and mathematical systems, 2006, 563, pp.163-186

Article dans une revue hal-00974849v1

Homotopy method for minimum consumption orbit transfer problem

Joseph Gergaud , Thomas Haberkorn

ESAIM: Control, Optimisation and Calculus of Variations, 2006, 12, pp.294-310. ⟨10.1051/cocv:2006003⟩

Article dans une revue hal-00367592v1
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Low thrust minimum-fuel orbital transfer: a homotopic approach

Thomas Haberkorn , Pierre Martinon , Joseph Gergaud

Journal of Guidance, Control, and Dynamics, 2004, 27 (6), pp.1046-1060

Article dans une revue inria-00271161v1

3D Geosynchronous Transfer of a Satellite: Continuation on the Thrust

Jean-Baptiste Caillau , Joseph Gergaud , Joseph Noailles

Journal of Optimization Theory and Applications, 2003, 118 (3), pp.541-565

Article dans une revue hal-00540254v1

Numerical Analysis of Optimal Control Problems for Aircraft Trajectory Computation (Poster)

Olivier Cots , Joseph Gergaud , Damien Goubinat

3rd Workshop Geometric control and related fields (2014), Nov 2014, Linz, Austria. , 2014

Poster de conférence hal-03266919v1