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COMMANDS Research team
Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
- Leader : Frédéric Bonnans
- Type : Project team
- Research center(s) : Saclay
- Field : Applied Mathematics, Computation and Simulation
- Theme : Modeling, Optimization, and Control of Dynamic Systems
- Ecole Polytechnique, Ecole nationale supérieure des techniques avancées, CNRS, Centre de Mathématiques Appliquées (CMAP) (UMR7641), Unité de Mathématiques Appliquées (UMA - ENSTA) (UMR)
Team presentation
The aim of this team is the design of numerical methods for optimizing dynamical systems, coming either from physical systems, of from economical ones. The dynamics can be deterministic or stochastic, in discrete or continuous time.The applications deal with aerospace trajectories, the management of energy storage, production processes.
Research themes
The optimization of systems governed by differential equations, by direct discretization methods combined with interior-point algorithms, as well as by shooting algorithms.- The resolution of deterministic optimal control problems through the numerical integratio of the HJB (Hamilton-Jacobi-Bellman) equation
- Stochastic control and specific schemes for the associated second-order HJB equation
- Stochastic programming and associated questions on risk measure
International and industrial relations
Industrial relations and national collaborationsCentre National d'Etudes Spatiales, Electricité de France, Gaz de France, Société Générale, ENSTA, ENPC, Universities of Orléans, Paris VI and Paris VII, ENSEEIHT (Toulouse)
International relations Universidad de Chile (Santiago), IMPA (Rio de Janeiro) Systems research Institute (Varsovie), University of Genève
Research teams of the same theme :
- APICS - Analysis and Problems of Inverse type in Control and Signal processing
- BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
- CORIDA - Robust control of infinite dimensional systems and applications
- DISCO - Dynamical Interconnected Systems in COmplex Environments
- GECO - Geometric Control Design
- MAXPLUS - Max-plus algebras and mathematics of decision
- MCTAO - Mathematics for Control, Transport and Applications
- NECS - Networked Controlled Systems
- NON-A - Non-Asymptotic estimation for online systems
Contact
Team leader
Frédéric Bonnans
(See all teams)
Tel.: +33 1 69 33 45 86
Secretariat
Tel.: +33 1 69 33 46 03
Find out more
Genealogy
This team follows
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See also