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SUMMARY:Corso di Dottorato di Teoria del Controllo di Franco Rampazzo
DTSTART;VALUE=DATE-TIME:20190408T070000Z
DTEND;VALUE=DATE-TIME:20190408T090000Z
DTSTAMP;VALUE=DATE-TIME:20260306T081326Z
UID:indico-event-34@cern.ch
DESCRIPTION:Necessary conditions for Optimal Control: an introduction base
 d on set-separation.\n\nThe course focuses on the celebrated Pontryagin Ma
 ximum Principle\, which consists in some general necessary conditions for 
 minima of Optimal Control problems. The latter generalize Calculus of Vari
 ations' problems\, in that the velocities are dynamically constrained by O
 DE's with control parameters\,.\n\nThe main proof we will present relies
  on a strong\, intuitive\, geometric idea\, namelyset-separation\, which i
 n turn is made precise by a suitable application of general tools such as 
 cones' transversality and a directional open mapping theorem.\n\nTime perm
 itting\, some issues from Geometric Control theory will be mentioned (e.g.
  Lie brackets)\, as well as connections with Hamilton-Jacobi PDE's.\n\nDur
 ing the days of the course I will be available at the University of Naples
  for all those who wish to look into some subjects in greater depth. Furth
 ermore\, at the beginning of the course detailed lecture notes will be ava
 ilable.\n\nhttps://indico.unina.it/event/34/
LOCATION:Sala Riunioni I livello\, Dipartimento di Matematica e Applicazio
 ni "Renato Cacciopploli"
URL:https://indico.unina.it/event/34/
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