MCTAO Research team
Mathematics for Control, Transport and Applications
- Leader : Jean-baptiste Pomet
- Type : Project team
- Research center(s) : Sophia
- Field : Applied Mathematics, Computation and Simulation
- Theme : Optimization and control of dynamic systems
- Partner(s) : CNRS,Université Nice - Sophia Antipolis,Université de Bourgogne
- Collaborator(s) : Laboratoire Jean-Alexandre Dieudonné (JAD) (UMR7351),Institut Mathématique de Bourgogne (5584)
The core endeavor of McTao is to develop methods in control theory for finite-dimensional nonlinear systems, as well as new contributions to optimal transport, and to be involved in real applications of these techniques.
Some mathematical fields like dynamical systems and optimal transport may benefit from control theory techniques.
Apart from this, our primary domain of industrial applications will be space engineering, namely designing trajectories in space mechanics using optimal control and stabilization techniques: transfer of a satellite between two Keplerian orbits, rendez-vous problem, transfer of a satellite from the Earth to the Moon or more complicated space missions. A second field of applications is quantum control with applications to Nuclear Magnetic Resonance and medical image processing.
A second field of applications is quantum control with applications to Nuclear Magnetic Resonance and medical image processing.
A third and more recent one is the control of micro-swimmers, i.e. swimming robots where the fluid-structure coupling has a very low Reynolds number.
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
- CAGE - Control And GEometry
- COMMANDS - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
- DISCO - Dynamical Interconnected Systems in COmplex Environments
- FACTAS - Functional Analysis for the ConcerpTion and Assessment of Systems
- GECO - Geometric Control Design
- I4S - Statistical Inference for Structural Health Monitoring
- NECS - Networked Controlled Systems
- NON-A - Non-Asymptotic estimation for online systems
- QUANTIC - QUANTum Information Circuits
- SPHINX - Heterogeneous Systems: Inverse Problems, Control and Stabilization, Simulation
- TRIPOP - Modélisation, simulation et commande des systèmes dynamiques non lisses
- TROPICAL - TROPICAL