Geometric Methods for


Optimal Control


















 

With this semester, we preted to connect the different Spanish research groups mainly included in the network Mechanics, Geometry and Control (GMC network http://www.gmcnetwork.org/), as well as other groups from different fields, with the most recent practical applications of the geometry of optimal control. We want to have a bearing, on one hand, on the formation of young researchers on these fields, offering a rigorous and deep approach to novel topics on these subjects, thus offering seminars, workshops and specific courses. On the other hand, we pretend 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 these areas.


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:

 

Activities

IV International Summer School on Geometry, Mechanics, and Control Santiago de Compostela, Spain 5-10 July, 2010 Courses 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) Web: http://www.gmcnetwork.org/ssgmc10 http://www.gmcnetwork.org/ssgmc10shapeimage_2_link_0
Geometric and Topological Methods in Control and Robotics La Cristalera, Madrid, Spain 04-06 October, 2010 Mini-courses 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) Web: http://webpages.ull.es/users/gmcnet/GTMCR2010/ http://webpages.ull.es/users/gmcnet/GTMCR2010/shapeimage_5_link_0