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Geometric Control Theory and Sub-Riemannian Geometry

  • 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

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:


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