16 August 2019
Introduction to Geometric Control Theory
After an introduction to the control theory framework and its terminology, three main topics will be discussed: controllability, optimal control, and stabilization. The goal is to present the standard tools of geometric control (Lie brackets, accessibility, Pontryagin Maximum Principle, ...) and also to illustrate them by means of some recent results. For controllability, applications to the bilinear Schrödinger equation will be presented. For stability, we shall discuss maximal Lyapunov exponents for bilinear control systems. For optimal control, some recent results on the regularity of optimal trajectories will be presented.
Lecturer: Prof. Mario Sigalotti (Inria & Sorbonne Université, France)
Coordinator: Enrico Le Donne (University of Jyväskylä)
Jyväskylä Summer School offers courses to advanced Master's students, graduate students, and post-docs from the field of Mathematics and Science and Information Technology.
Prerequisites: Basic theory of ODEs (existence, uniqueness, regular dependence with respect to parameters), elementary differential geometry (manifolds, vector fields, tangent and cotangent manifolds).
Learning outcomes: An overview of the questions considered in geometric control theory and of the tools which are used to tackle them. A subjective view of some of the active research areas in the field.
EUR 0: Participation in the Summer School courses is free of charge, but students are responsible for covering their own meals, accommodation and travel costs as well as possible visa costs.
Jyväskylä Summer School is not able to grant Summer School students financial support.