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BEGIN:VEVENT
UID:3182@test.i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20140318T100000
DTEND;TZID=Europe/Paris:20140318T110000
DTSTAMP:20140303T090000Z
URL:https://test.i2m.univ-amu.fr/events/minimal-time-of-controllability-fo
r-some-parabolic-systems/
SUMMARY:Minimal time of controllability for some parabolic systems -
DESCRIPTION:In this talk we will study the controllability properties of tw
o kind of coupled parabolic systems. In the first problem\, the control is
exerted in a part \\omega of the domain (distributed control) and in the
second one\, on a part of the boundary of the domain (boundary control). I
n both cases we will see that\, even if the problem under consideration is
parabolic\, an explicit minimal time of controllability $T_0 \\in [0\, \\
infty] $ arises. Thus\, the corresponding system is not null controllable
at time $T$ if $T< T_0$ and it is null controllable at time $T$ when $T>T_
0$. This minimal time is related to: The action and the geometric position
of the support of the coupling term when this support does not intersect
the control domain $\\omega$ in the case of the distributed control or the
condensation index of the complex sequence of eigenvalues of the correspo
nding matrix elliptic operator in the case of the boundary control.
CATEGORIES:Séminaire Analyse Appliquée (AA)
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TZID:Europe/Paris
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DTSTART:20131027T020000
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TZOFFSETTO:+0100
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