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SUMMARY:Moment relaxations for the global resolution of optimal control pr
 oblems - Mathieu Claeys\, University of Cambridge
DTSTART:20140227T140000Z
DTEND:20140227T150000Z
UID:TALK50519@talks.cam.ac.uk
CONTACT:Tim Hughes
DESCRIPTION:Moment relaxations are a global optimization technique for sol
 ving a vast array of optimization problems. The approach consists in lifti
 ng the problem at hand as a linear program on a measure space\, which can 
 then be solved by a hierarchy of semi-definite relaxations/sum-of-squares 
 strengthenings. This presentation will discuss several recent advances of 
 the method for optimal control problems.\n\nThe talk is divided into two p
 arts. First of all\, a small tutorial on finite dimensional optimization w
 ill be presented\, covering both theoretical and practical aspects. The se
 cond part will present how this approach can also be used for the optimal 
 control of non-linear systems. Then\, some preliminary results on the reco
 nstruction of optimal trajectories will be shown. Finally\, the approach w
 ill be compared to local optimization method on an example taken from the 
 medical imaging literature.
LOCATION:Cambridge University Engineering Department\, LR3
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