April 30, 2013, 4:00pm
Ido Bright, Department of Applied Mathematics, University of Washington
Periodic Optimization Suffices for Infinite Horizon Planar Optimal Control
Abstract: We start by presenting a new result on the average velocity of long Jordan curves in plane, which is then applied to establish a Poincare-Bendixson type result for infinite horizon planar systems, where the criteria for optimization is the averaged cost.The latter result is then applied to the convex set of empirical measures of a control system. An extension to higher dimensions will be discussed.