Geometric Methods for Optimal Control

With this semester, we intend to connect the different Spanish research groups mainly included in the network Mechanics, Geometry and Control (GMC network, as well as other groups from different fields, that work on the most recent practical applications of the geometry of optimal control. We want to have a bearing on the training of young researchers on those fields, offering a rigorous and deep approach to novel topics on those subjects. That is why we plan to organize a wide range of seminars, workshops and specific courses. On the other hand, we intend to give more international visibility of the high quality research made by the different Spanish groups which, in the last years, have made important contributions to the open problems related to Geometry, Mechanics and Control.
The program will be developed during the second semester of the year 2010, having as centre the facilities of ICMAT (CSIC-UAM-UC3M-UCM), but with activities in other universities. In particular, the following activities will be held:

IV International Summer School on Geometry, Mechanics, and Control
Santiago de Compostela, Spain
5-10 July, 2010
Roger Brockett (Harvard University, USA): Aspects of Subriemannian Geometry with Applications in Control Theory and Physics

Fátima Leite (University of Coimbra, Portugal) : Four lectures on geometric control theory (4 hours)

Richard Montgomery (University of California, Santa Cruz, USA):  The N body problem: differential geometry, group theory, and topological methods and perspectives (7 hours)


Geometric and Topological Methods in Control and Robotics
La Cristalera, Madrid, Spain
04-06 October, 2010
Geometric network modeling and control of complex physical systems by Arjan van der Schaft (Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen)
Topological methods for robotics & control by Robert Ghrist  (University of Pennsylvania)
Invited talks
John Baillieul (Boston University, USA)
Tony Bloch (University of Michigan, USA)
Roger Brockett (Harvard University, USA)
Jean-Michel Coron (Universite Pierre et Marie Curie, France)
Michael Farber University of Durham (UK)
Dan Koditschek (University of Pennsylvania, USA)
Yizhar Or (Israel Institute of Technology)
Aniceto Murillo (University of Malaga, Spain)

V International Young Researchers
Workshop on Geometrý,
Mechanics, and Control
La Laguna, Tenerife, Canary Islands, Spain
06-11 December 2010