Research Interests
- Optimal control theory for dynamical systems in finite or infinite dimension (Pontryagin maximum principle, value function, state constraints, Hamilton-Jacobi approach, sensitivity analysis, numerical methods)
- Zero-sum game problems (value function, Hamilton-Jacobi equation, equilibrium, optimal strategies)
- Hamilton-Jacobi Equations in stratified domains (networks, glued manifolds, ...)
- Numerical methods, Analysis and Error estimates theory for first and second order Hamilton-Jacobi equations
- Reachability analysis, motion planning and obstacle
avoidance
Prizes and distinctions
- Chaire d'excellence in research program, co-funded by Région Normandie and EU through ERDF program (February 2021 - January 2025)
- Laureate of "Edmond Brun" Prize of Académie des Sciences, 2019
- Leader of the European project "SADCO - Sensitivity Analysis for Deterministic Controller Design "as part of the" FP7 - Initial Training Network, Marie Curie "program (January 2011 - December 2014)
Industrial support
- CNES: Optimization of space launch vehicles trajectories (modelling, control problems and sensitivity analysis, numerical methods)
- ArianeGroup: Space launchers design optimization (control problems under chance constrained constraints)
- Renault Technocentre (France), Bosch (Germany): Energy management for hybrid vehicles (stochastic optimization, numerical methods, optimal control of hybrid systems)
Some research Projects (Academic funding: EU, Idex, ANR,
DGA, PGMO)
- Member of the ANR project "Control on Stratified Structures - COSS" , 2023-2027
- Scientific leader of the project "Optimal control problems with probabilistic constraints (COProCO)", supported by PGMO Programme , 2021-2024
- Scientific leader of the project "Multitasking motion planning by optimal control and reinforcement learning methods", 2018-2020, supported by AID-Agence de l'Innovation de Défense.
- Scientific leader of the project iCODE-PGMO project "HJB-EM, Hamilton-Jacobi-Bellman approaches for Energy Management", 2017-2019, collaboration with C. Sagastizàbal from IMPA and W. von Ackooij from EDF.
- General coordinator and scientific leader of the European project SADCO - Sensitivity Analysis for Deterministic Controller Design, (Marie Curie Initial Training Network) FP7-PEOPLE-2010-ITN-264735, Jan 2011 - Dec 2014, (11 academic and industrial partners in 6 countries; 28 Phd and post-doc students).
- Scientific leader of the project "Numerical methods for Hamilton-Jacobi Equations on Stratified Structures", Mar 2014 - Feb 2016, supported by "iCODE Institute project" funded by the IDEX Paris-Saclay, ANR-11-IDEX-0003-02.
- Member of ANR project "HJNet - Hamilton-Jacobi equations in Networks", 2013 - 2015.
- Scientific leader of the project ``Optimal control problems for non-linear systems ", supported by DGA (Direction Générale de l'Armement), 2007-2017.
(CO-)Organization of some conferences, workshops and thematic schools
- "On the Road to New Horizons: A Lighthearted Conference on Control Theory, Celebrating Witold Respondek's (Partial) Retirement!", INSA Rouen Normandie , June 19-21, 2024
- Workshop on Optimal Control Theory and Related Fields , Valparaiso, December 4-7, 2023 (co-Chair)
- Conference on " Optimal control Theory ", June 22-24, 2022, INSA Rouen Normandie
- iCODE Workshop on "Numerical approximations for HJB equations", January 8-10, 2020, Paris
- " Control and Optimization Conference, in the occasion of Frederic Bonnans 60th birthday" (chair), November 15-17, 2017, EDF-Lab Palaiseau
- Thematic program "
SVAN 2016 - Stochastic Variational Analysis", at IMPA (Rio
de Janeiro, Brazil), March-June 2016. This program,
co-organized with Claudia Sagastizabal, strated with a
workshop:
"Analysis and Applications of Stochastic Systems" from March 28 to April 1, 2016, and includes 5 doctoral courses
(at IMPA with transmission in various universities in South America) - NETCO - " New
Trends on Optimal Control" (chair), June 23-27, 2014.
European ITN SADCO Project, with the participation of the French HJ-Net ANR project - Spring school and workshop " ANOC - Applied and Numerical Optimal Control", 23-27 avril 2012, Paris (Chair)
- Industrial Workshop "Aerospace applications of control and optimization", March 2, 2011, ENSTA, Paris
- CEA-EDF-INRIA school on "Numerical methods for Hamilton-Jacobi equations and hyperbolic conservation laws", INRIA Rocquencourt, September 15-19, 2008
- Workshop "Aerospatial dynamics and Optimal Control", ENSTA, 23 mai, 2008
- Autumn school "Introduction to numerical methods for moving boundaries", ENSTA Paris, November 12-14, 2007
- Workshop "Numerical methods for Hamilton-Jacobi-Bellman equations and applications", ENSTA Paris, September 11-12, 2003.