Dynamical systems Optimization team carries out research in three areas of excellence: optimization, dynamic systems and probabilities and statistics.
The research team is organized around three approaches:
Various issues from the air traffic world may be dealt with as optimization programs. Their great intrinsic complexity as well as the need to respect operational constraints require strong skills in modelling and an in-depth knowledge of methods applicable to large scale problems. Members working on this theme develop algorithms combining these two aspects.
Probability and statistics
This research approach is specialized in data science. The air transport system generates very large volumes of data, the majority of which remain unused. The work undertaken following this approach aims to offer innovative methods which respond to the concerns of the system's different stakeholders.
For this approach different aspects of optimal control and non-linear control are studied. The work is complementary to optimization as it offers tools which enable the monitoring of optimal flight paths. Certain members also conduct activities on detection of faults and automatic generation of procedures in degraded modes of operation. There is close collaboration with the "drones" program.
Certain research themes characterize the laboratory:
- Optimization in infinite dimension space with application of optimal flight path planning
- Meta-heuristic and hybridization allowing for processing of large scale problems with option of optimality proof
- Discrete and mixed optimization
- Information geometry
- Multivariate and functional data analysis
- Indexed control in space
- Differential platitude
- Coordinated operation