Coloquio ICMAT-UCM
GEOMETRIC CONTROL AND SUB-RIEMANNIAN PROBLEMS
Ponente: Fátima Silva Leite (University of Coimbra)Fecha: jueves 28 de noviembre de 2019 - 12:00Lugar: Aula Naranja, ICMAT
Resumen:
The first part of this talk introduces the basic concepts of
geometric control theory, namely controllability and optimal control. A
control system is a family of dynamical systems parameterized by the
controls, evolving on a manifold (the state space). Controllability is
related to the ability to reach a state from any other state, using the
available controls. Optimal control deals with the possibility to do it in the
best possible way. These concepts will be illustrated with simple
examples.
The second part of the talk focus on recent results about
sub-Riemannian structures on Lie groups and homogeneous spaces,
using tools from optimal control, with particular emphasis on
sub-Riemannian geodesics.
