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PRODID:-//Memento EPFL//
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SUMMARY:About minimal-time impulse control of sequential batch reactors wi
 th one or more species.
DTSTART:20091120T101500
DTSTAMP:20260406T103727Z
UID:a102dcb7ba4f243aba3e589b6336f6eec50cd68ae112347e00dcbf9a
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. A. Rapaport\, INRA & INRIA Montpellier. \nWe consider th
 e minimal-time optimal control problem of feeding a tank\, where several \
 nspecies compete for a single resource\, with the objective to reach a giv
 en level of the \nresource. We allow controls to be bounded measurable fun
 ctions of time as well as impulses. \nFor the one species case\, we show t
 hat the immediate one impulse strategy (filling the whole \nreactor with o
 ne single impulse at initial time) is optimal when the growth function is 
 \nmonotonic. For non-monotonic growth functions with one maximum\, we show
  that the \nsingular arc strategy (making the resource reach this maximum 
 as fast as possible and \nmaintain it at this level until the fill is comp
 lete) is optimal. These results extend former ones \nobtained by J. Moreno
  for the class of measurable controls. For the two species case with \nmon
 otonic growth functions\, we first give conditions under which immediate o
 ne impulse \nstrategy is optimal. We also give optimality conditions for t
 he singular arc strategy (at a level \nthat depends on the initial conditi
 on) to be optimal. The possibility for the immediate one \nimpulse strateg
 y to be non-optimal\, although both growth functions are monotonic\, is a 
 \nsurprising result\, illustrated with the help of numerical simulations. 
 This is a joined work \nwith P. Gajardo and H. Ramirez\, from Univ. of Chi
 le.
LOCATION:MEC2405 
STATUS:CONFIRMED
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