Frédéric JEAN
Unité de Mathématiques Appliquées (UMA)
Directeur UMA
HDR
Je suis professeur de l'ENSTA, membre de l'équipe Optimisation et Commande de l'Unité de Mathématiques Appliquées (UMA). Je suis actuellement directeur de l'UMA. Mes activités de recherche s'inscrivent dans le contexte de la théorie du contrôle non-linéaire, et plus précisément du contrôle géométrique, et portent à la fois sur des aspects théoriques (géométrie sous-riemannienne, systèmes non-holonomes, approche géométrique du contrôle optimal) et sur des applications, en particulier la modélisation de la neuro-physiologie.
Research and education activities
Encadrement doctoral
- Ruixing Long (co-encadrement avec Yacine Chitour), thèse soutenue en 2010;
- Dario Prandi (co-encadrement avec Ugo Boscain et Mario Sigalotti), thèse soutenue en 2013;
- Cristopher Hermosilla (co-encadrement avec Hasnaa Zidani), thèse soutenue en 2015;
- Boutheina Hafassa (co-encadrement avec Yacine Chitour, Mario Sigalotti), thèse soutenue en 2016;
- Walid Bouhafs (co-encadrement avec Nahla Abdellatif), thèse soutenue en 2016;
- Sofya Maslovskaya (co-encadrement avec Igor Zelenko), thèse soutenue en 2018;
- Emilien Flayac (co-encadrement avec Karim Dahia et Bruno Hérissé), thèse soutenue en 2019;
- Meryem Kafnemer (co-encadrement avec Yacine Chitour), thèse soutenue en 2022;
- Othmane Jerhaoui (co-encadrement avec Hasnaa Zidani), thèse soutenue en 2022;
- Clara Leparoux (co-encadrement avec Bruno Hérissé), thèse soutenue en 2023;
- En Lai (co-encadrement avec Antoine Girard et Riccardo Bonalli), thèse débutée en 2024.
Enseignements à l'ENSTA
- le cours APM_3AOT3 (ex AOT13) - Géométrie différentielle appliquée;
- le cours APM_3AO02 (ex AO102) - Systèmes Dynamiques: Analyse et Stabilité;
- le cours APM_4AUT1 (ex AUT201) - Commande des systèmes.
HAL Publications
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Not all sub-Riemannian minimizing geodesics are smooth
Pré-publication, Document de travail Published on 14/01/2025 co-written by Yacine Chitour, Frédéric Jean, Roberto Monti, Ludovic Rifford, Ludovic Sacchelli, Mario Sigalotti, Alessandro Socionovo -
Withdrawal of: Solution of the Ovals problem
Pré-publication, Document de travail Published on 01/01/2025 co-written by Yacine Chitour, Jochen Denzler, Frédéric Jean, Emmanuel Trélat -
Two-phase Trajectory Planning Method for Robust Planetary Landing in a Sensor-equipped Area
Pré-publication, Document de travail Published on 24/10/2024 co-written by Clara Leparoux, Bruno Hérissé, Frédéric Jean -
Inverse optimal control problem in the non autonomous linear-quadratic case
Pré-publication, Document de travail Published on 20/06/2024 co-written by Frédéric Jean, Sofya Maslovskaya -
Co-Contraction Embodies Uncertainty: An Optimal Feedforward Strategy for Robust Motor Control
Article dans une revue Published on 17/06/2024 co-written by Bastien Berret, Dorian Verdel, Etienne Burdet, Frédéric Jean -
Statistical Linearization for Robust Motion Planning
Article dans une revue Published on 22/05/2024 co-written by Clara Leparoux, Riccardo Bonalli, Bruno Hérissé, Frédéric Jean -
Commande des Systèmes
Cours Published on 22/01/2024 by Frédéric JEAN -
On the Accessibility and Controllability of Statistical Linearization for Stochastic Control: Algebraic Rank Conditions and their Genericity
Article dans une revue Published on 01/01/2024 co-written by Riccardo Bonalli, Clara Leparoux, Bruno Hérissé, Frédéric Jean -
Deterministic optimal control on Riemannian manifolds under probability knowledge of the initial condition
Article dans une revue Published on 01/01/2023 co-written by Frédéric Jean, Othmane Jerhaoui, Hasnaa Zidani -
Robust Motion Planning of the Powered Descent of a Space Vehicle
Article dans une revue Published on 01/01/2023 co-written by Clara Leparoux, Bruno Hérissé, Frédéric Jean -
Optimal planetary landing with pointing and glide-slope constraints
Communication dans un congrès Published on 01/12/2022 co-written by Clara Leparoux, Bruno Hérissé, Frédéric Jean -
Géométrie Différentielle et Application au Contrôle Géométrique
Cours Published on 01/04/2022 by Frédéric JEAN -
Lp-asymptotic stability of 1D damped wave equations with localized and linear damping
Article dans une revue Published on 11/01/2022 co-written by Meryem Kafnemer, Mebkhout Benmiloud, Frédéric Jean, Yacine Chitour -
A Mayer optimal control problem on Wasserstein spaces over Riemannian manifolds
Communication dans un congrès Published on 01/01/2022 co-written by Frédéric Jean, Othmane Jerhaoui, Hasnaa Zidani -
Structure of optimal control for planetary landing with control and state constraints
Article dans une revue Published on 01/01/2022 co-written by Clara Leparoux, Bruno Hérissé, Frédéric Jean -
On Weyl's type theorems and genericity of projective rigidity in sub-Riemannian Geometry
Article dans une revue Published on 01/01/2021 co-written by Frédéric Jean, Sofya Maslovskaya, Igor Zelenko -
A Geometrical Approach for the Optimal Control of Sequencing Batch Bio-Reactors
Article dans une revue Published on 26/09/2020 co-written by Nahla Abdellatif, Walid Bouhafs, Jérôme Harmand, Frédéric Jean -
A unifying vision of Particle Filtering and Explicit Dual Control
Pré-publication, Document de travail Published on 26/05/2020 co-written by Emilien Flayac, Karim Dahia, Bruno Hérissé, Frédéric Jean -
Efficient computation of optimal open-loop controls for stochastic systems
Article dans une revue Published on 01/01/2020 co-written by Bastien Berret, Frédéric Jean -
On the regularity of abnormal minimizers for rank 2 sub-Riemannian structures
Article dans une revue Published on 01/01/2020 co-written by Davide Barilari, Yacine Chitour, Frédéric Jean, Dario Prandi, Mario Sigalotti -
Periodical body's deformations are optimal strategies for locomotion
Article dans une revue Published on 01/01/2020 co-written by Laetitia Giraldi, Frédéric Jean -
Stochastic optimal open-loop control as a theory of force and impedance planning via muscle co-contraction
Article dans une revue Published on 01/01/2020 co-written by Bastien Berret, Frédéric Jean -
Injectivity of the inverse optimal control problem for control-affine systems
Communication dans un congrès Published on 11/12/2019 co-written by Frédéric Jean, Sofya Maslovskaya -
A Unifying vision of Particle Filtering and Explicit Dual Control in Stochastic Control
Communication dans un congrès Published on 01/01/2019 co-written by Emilien Flayac, Karim Dahia, Bruno Hérissé, Frédéric Jean -
Horizontal holonomy and foliated manifolds
Article dans une revue Published on 01/01/2019 co-written by Yacine Chitour, Erlend Grong, Frédéric Jean, Petri Kokkonen -
On projective and affine equivalence of sub-Riemannian metrics
Article dans une revue Published on 01/01/2019 co-written by Frédéric Jean, S. Maslovskaya, I. Zelenko -
Optimality and modularity in human movement: from optimal control to muscle synergies
Chapitre d'ouvrage Published on 01/01/2019 co-written by B. Berret, Ioannis Delis, Jeremie Gaveau, Frédéric Jean -
Dual Particle Output Feedback Control based on Lyapunov drifts for nonlinear systems
Communication dans un congrès Published on 17/12/2018 co-written by Emilien Flayac, Karim Dahia, Bruno Hérissé, Frédéric Jean -
Inverse Optimal Control Problem: The Linear-Quadratic Case
Communication dans un congrès Published on 01/12/2018 co-written by Frédéric Jean, Sofya Maslovskaya -
On measures in sub-Riemannian geometry
Article dans une revue Published on 01/01/2018 co-written by Roberta Ghezzi, Frédéric Jean -
Nonlinear fisher particle output feedback control and its application to terrain aided navigation
Communication dans un congrès Published on 12/12/2017 co-written by Emilien Flayac, Karim Dahia, Bruno Hérissé, Frédéric Jean -
Stabilité et commande des systèmes dynamiques
Ouvrages Published on 01/09/2017 by Frédéric JEAN -
Inverse Optimal Control Problem: the Sub-Riemannian Case
Article dans une revue Published on 01/01/2017 co-written by Frédéric Jean, Sofya Maslovskaya, Igor Zelenko -
On the duration of human movement: from self-paced to slow/fast reaches up to Fitts's law
Chapitre d'ouvrage Published on 01/01/2017 co-written by Frédéric Jean, Bastien Berret -
Why Don't We Move Slower? The Value of Time in the Neural Control of Action
Article dans une revue Published on 01/01/2016 co-written by Bastien Berret, Frédéric Jean -
Hausdorff volume in non equiregular sub-Riemannian manifolds
Article dans une revue Published on 01/10/2015 co-written by Roberta Ghezzi, Frédéric Jean -
Complexity of control-affine motion planning
Article dans une revue Published on 01/04/2015 co-written by Frédéric Jean, Dario Prandi -
La mécanique des Sphères de Lie: un futur pour la CAO?
Chapitre d'ouvrage Published on 01/01/2015 co-written by Christian Arber, Frédéric Jean -
Commande optimale en temps minimal d'un procédé biologique d'épuration de l'eau
Article dans une revue Published on 26/08/2014 co-written by Walid Bouafs, Nahla Abdellatif, Frédéric Jean, Harmand Jérôme -
Complexity in control-affine systems
Document associé à des manifestations scientifiques Published on 01/01/2014 co-written by Frédéric Jean, Dario Prandi -
Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning
Ouvrages Published on 01/01/2014 by Frédéric JEAN -
Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds
Chapitre d'ouvrage Published on 01/01/2014 co-written by Roberta Ghezzi, Frédéric Jean -
A geometrical approach for the resolution of an optimal control problem
Communication dans un congrès Published on 19/12/2013 co-written by Walid Bouhafs, Nahla Abdellatif, Frédéric Jean, Jérôme Harmand -
Geometric modeling of the movement based on an inverse optimal control approach
Communication dans un congrès Published on 01/12/2013 co-written by Frédéric Jean, Paolo Mason, Francesca Chittaro -
On the inverse optimal control problems of the human locomotion: stability and robustness of the minimizers
Article dans une revue Published on 01/12/2013 co-written by Francesca Chittaro, Frédéric Jean, Paolo Mason -
Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds
Pré-publication, Document de travail Published on 16/01/2013 co-written by Roberta Ghezzi, Frédéric Jean -
A Global Steering Method for Nonholonomic Systems
Article dans une revue Published on 01/01/2013 co-written by Yacine Chitour, Frédéric Jean, Ruixing Long -
Commande optimale en temps minimal d'un procédé biologique d'épuration de l'eau
Communication dans un congrès Published on 01/01/2013 co-written by Walid Bouhafs, Nahla Abdellatif, Frédéric Jean, Jérôme Harmand -
A new class of $({\cal H}^k,1)$-rectifiable subsets of metric spaces
Article dans une revue Published on 01/09/2012 co-written by Roberta Ghezzi, Frédéric Jean -
Modélisation des voies de la commande saccadique
Pré-publication, Document de travail Published on 16/03/2012 co-written by Mitra Asadi Eydivand, Christian Darlot, Mohamadmehdi Ebadzadeh,, Frédéric Jean, Sofiane Ouanezar -
Control of Nonholonomic Systems and Sub-Riemannian Geometry
Communication dans un congrès Published on 30/01/2012 by Frédéric JEAN -
Commande optimale en temps minimal d’un procédé biologique d’épuration de l’eau
Communication dans un congrès Published on 01/01/2012 co-written by Walid Bouhafs, Nahla Abdellatif, Frédéric Jean, Jérôme Harmand -
Optimal control models of the goal-oriented human locomotion
Article dans une revue Published on 01/01/2012 co-written by Yacine Chitour, Frédéric Jean, Paolo Mason -
Stabilité et commande des systèmes dynamiques
Ouvrages Published on 01/09/2011 by Frédéric JEAN -
Biologically inspired sensory motor control of a 2-link robotic arm actuated by McKibben muscles
Communication dans un congrès Published on 09/05/2011 co-written by Frédéric Jean, Sofiane Ouanezar, Bertrand Tondu, Marc Maier, Christian Darlot, Selim Eskiizmirliler -
Analysis of optimal control models for the human locomotion
Communication dans un congrès Published on 01/12/2010 co-written by Yacine Chitour, Francesca Chittaro, Frédéric Jean, Paolo Mason -
A biomechanical inactivation principle
Article dans une revue Published on 01/01/2010 co-written by Bastien Berret, Frédéric Jean, Jean-Paul Gauthier -
An Explicit Desingularization Procedure for General Nonholonomic Systems
Communication dans un congrès Published on 01/01/2010 co-written by Yacine Chitour, Frédéric Jean, Ruixing Long -
A global steering method for general dynamical nonholonomic systems
Communication dans un congrès Published on 01/01/2009 co-written by Yacine Chitour, Frédéric Jean, Ruixing Long -
Asymptotic analysis of an optimal control problem connected to the human locomotion
Communication dans un congrès Published on 01/01/2009 co-written by Terence Bayen, Yacine Chitour, Frédéric Jean, Paolo Mason -
The inactivation principle: mathematical solutions minimizing the absolute work and biological implications for the planning of arm movements.
Article dans une revue Published on 01/10/2008 co-written by Bastien Berret, Christian Darlot, Frédéric Jean, Thierry Pozzo, Charalambos Papaxanthis, Jean-Paul Gauthier -
Singular trajectories of control-affine systems
Article dans une revue Published on 01/01/2008 co-written by Yacine Chitour, Frédéric Jean, Emmanuel Trélat -
Géométrie sous-riemannienne et contrôle non-linéaire
HDR Published on 16/03/2007 by Frédéric JEAN -
Genericity results for singular curves
Article dans une revue Published on 01/05/2006 co-written by Yacine Chitour, Frédéric Jean, Emmanuel Trélat -
A globally convergent steering algorithm for regular nonholonomic systems
Communication dans un congrès Published on 01/01/2005 co-written by Frédéric Jean, G. Oriolo, M. Vendittelli -
Singular trajectories of driftless and control-affine systems
Communication dans un congrès Published on 01/01/2005 co-written by Yacine Chitour, Frédéric Jean, Emmanuel Trélat -
Nonhomogeneous nilpotent approximations for systems with singularities
Article dans une revue Published on 01/01/2004 co-written by Marilena Vendittelli, Giuseppe Oriolo, Frédéric Jean, Jean-Paul Laumond -
Measures of Transverse Paths in Sub-Riemannian Geometry
Article dans une revue Published on 01/12/2003 co-written by Elisha Falbel, Frédéric Jean -
Entropy and complexity of a path in sub-Riemannian geometry
Article dans une revue Published on 01/01/2003 by Frédéric JEAN -
Generic properties of singular trajectories
Article dans une revue Published on 01/01/2003 co-written by Yacine Chitour, Frédéric Jean, Emmanuel Trélat -
Measures of Sub-Riemannian Paths
Communication dans un congrès Published on 01/01/2002 co-written by Frédéric Jean, Elisha Falbel -
Uniform Estimation of Sub-Riemannian Balls
Article dans une revue Published on 01/10/2001 by Frédéric JEAN -
Complexity of Nonholonomic motion planning
Article dans une revue Published on 01/01/2001 by Frédéric JEAN -
Paths in sub-Riemannian geometry
Chapitre d'ouvrage Published on 01/01/2001 by Frédéric JEAN -
Complexités pour les systèmes non-holonomes
Thèse Published on 01/01/1998 by Frédéric JEAN -
Geometry of nonholonomic systems
Chapitre d'ouvrage Published on 01/01/1998 co-written by Frédéric Jean, André Bellaïche, Jean-Jacques Risler -
Multiplicity of Polynomials on Trajectories of Polynomials Vector Fields in C3
Article dans une revue Published on 01/01/1998 co-written by Andrei Gabrielov, Frédéric Jean, Jean-Jacques Risler -
Elementary approximation of exponentials of Lie polynomials
Chapitre d'ouvrage Published on 08/06/1997 co-written by Frédéric Jean, Pierre-Vincent Koseleff -
The car with N Trailers : characterization of the singular configurations
Article dans une revue Published on 01/01/1996 by Frédéric JEAN -
The singular locus for the n-trailers car control system
Communication dans un congrès Published on 01/01/1995 by Frédéric JEAN