- Optimal Control and Optimal Synthesis
- Sub-Riemannian geometry
- Feedback Equivalence and Feedback Invariants
- Switching Systems
- Quantum Control
- Systems Biology
- Control of Fluid Mechanics Systems
- Optimal Transportation
- Aplications to Vision and Robotics
- Applications to Differential Geometry and Dynamical Systems

Research Group:

## Introduction to geometric control

A course of 10 lectures will be devoted to an introduction to geometric control theory and its applications. Problems of controllability, optimal control, and sub-Riemannian geometry will be considered, as well as their applications to mechanics, robotics, vision models and image processing. No prior knowledge of control theory is assumed.

## Geometric control

In this course (1 cycle), I will discuss the basic tools of geometric control theory. The program is the following: