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SUMMARY:Richard Pates (Lund University)
DTSTART:20241021T111500Z
DTEND:20241021T120000Z
DTSTAMP:20260417T004855Z
UID:cam/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/50/">Opt
 imal Control on Positive Cones</a>\nby Richard Pates (Lund University) as 
 part of CAM seminar\n\nLecture held in MV:L14.\n\nAbstract\nIn this talk w
 e will discuss a class of optimal control problems for dynamical systems t
 hat preserve cones. Under a critical assumption on the cone\, the correspo
 nding Bellman equation is satisfied by a linear function\, which can be co
 mputed by convex optimization. Three special cases are derived as example
 s. The first one\, where the positive cone is the set of positive semi-def
 inite matrices\, reduces to standard linear quadratic control. The second 
 one\, where the positive cone is a polyhedron\, reduces to a recent result
  on optimal control of positive systems. The third special case correspond
 s to linear quadratic control with additional structure\, such as spatial 
 invariance\n
LOCATION:https://researchseminars.org/talk/cam/50/
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