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SUMMARY:Corso di Dottorato di Teoria del Controllo di Franco Rampazzo
DTSTART;VALUE=DATE-TIME:20190404T070000Z
DTEND;VALUE=DATE-TIME:20190404T090000Z
DTSTAMP;VALUE=DATE-TIME:20240616T112525Z
UID:indico-event-32@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/32/
LOCATION:Sala Riunioni I livello\, Dipartimento di Matematica e Applicazio
ni "Renato Cacciopploli"
URL:https://indico.unina.it/event/32/
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