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SUMMARY:Approximation of a control system involving chattering
DTSTART:20260518T083000Z
DTEND:20260518T093000Z
DTSTAMP:20260714T124500Z
UID:indico-event-16514@indico.math.cnrs.fr
DESCRIPTION:Speakers: Terence Bayen (Avignon université)\n\nWe consider a
  general minimum time problem governed by a mono-input affine control syst
 em. Additionally\, we suppose that if a singular arc occurs\, then it is o
 f order at least two. Such a situation typically arises in the context of 
 Fuller's problem that involves chattering. The objective of this presentat
 ion is to show how to explicitly construct a family of control systems app
 roximating the original one and such that the associated minimum time  pr
 oblems do not have a singular arc of order greater or equal than two. Our 
 main result is the construction of such a family of control systems that d
 epends on the original (and arbitrary) control system. For this purpose\, 
 we prove that if a singular arc occurs for the approximated problem\, the 
 term containing the control in the second-order derivative of the switchin
 g function is non-zero\n\nhttps://indico.math.cnrs.fr/event/16514/
LOCATION:Salle 316 (Carmes)
URL:https://indico.math.cnrs.fr/event/16514/
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