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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

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
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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

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

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

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
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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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On some Riemannian aspects of two and three-body controlled problems

Jean-Baptiste Caillau , Bilel Daoud , Joseph Gergaud
2009
Pré-publication, Document de travail hal-00432635v2
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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

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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About the minimal time control of passive tracers in presence of a single point vortex

Olivier Cots , Joseph Gergaud , B Wembe
2019
Pré-publication, Document de travail hal-02070786v1

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
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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
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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
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SHOOT2.0: An indirect grid shooting package for optimal control problems, with switching handling and embedded continuation

Pierre Martinon , Joseph Gergaud
[Research Report] RR-7380, INRIA. 2010, pp.30
Rapport inria-00517515v2

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
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The minimum time-to-climb and fuel consumption problems and CAS/Mach procedure for aircraft

Olivier Cots , Joseph Gergaud , D Goubinat
2018
Pré-publication, Document de travail hal-01936193v1
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Shoot-1.1 Package - User Guide

Pierre Martinon , Joseph Gergaud
[Technical Report] RT-0354, INRIA. 2008, pp.41
Rapport inria-00287879v2

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
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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
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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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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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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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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

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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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

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

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

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