005w: Geometric and Quantum Control

Andrey Agrachev, SISSA & Steklov Mathematical Institute

Yuri Sachkov, Aylamazian Program Systems Institute

Omega Sirius Hotel, 'Innsbruck' Conference Hall

Differential geometry has been the source of an original viewpoint to investigate typical questions arising in the control framework: controllability, observability, stabilization, optimal control. Such a
viewpoint, and the powerful tools developed in its framework, is known as geometric control theory. Geometric control theory, in turn, has shown its strengths as an approach to studying geometric
problems, and in particular sub-Riemannian geometry.

The goal of this workshop is to present recent advances sharing this approach, both theoretical and applicative (with a particular emphasis on quantum control).