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SUMMARY:Optimal control and the geometry of integrable systems - Anthony B
 loch (University of Michigan)
DTSTART:20190731T140000Z
DTEND:20190731T150000Z
UID:TALK128287@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<br> In this talk we discuss a geometric approach to certain o
 ptimal control <br> problems and discuss the relationship of the solutions
  of these problem <br> to some classical integrable dynamical systems and 
 their generalizations.<br> We consider the<br> so-called Clebsch optimal c
 ontrol problem and its relationship<br> to Lie group actions on manifolds.
  The integrable systems discussed include<br> the rigid body equations\, g
 eodesic flows on the ellipsoid\, flows<br> on Stiefel manifolds\, and the 
 Toda lattice<br> flows. We discuss the Hamiltonian structure of these syst
 ems and relate<br> our work to some work of Moser. We also discuss the lin
 k to discrete dynamics<br> and symplectic integration. <br> <br> <br>
LOCATION:Seminar Room 2\, Newton Institute
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