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)
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.
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