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BEGIN:VEVENT
UID:8435@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20140318T100000
DTEND;TZID=Europe/Paris:20140318T110000
DTSTAMP:20241120T210412Z
URL:https://www.i2m.univ-amu.fr/evenements/minimal-time-of-controllability
 -for-some-parabolic-systems/
SUMMARY: (...): Minimal time of controllability for some parabolic systems
DESCRIPTION:: In this talk we will study the controllability properties of 
 two kind of coupled parabolic systems. In the first problem\, the control 
 is exerted in a part \\omega of the domain (distributed control) and in th
 e second one\, on a part of the boundary of the domain (boundary control).
  In 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 controllabl
 e 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 positi
 on of the support of the coupling term when this support does not intersec
 t the control domain $\\omega$ in the case of the distributed control or t
 he condensation index of the complex sequence of eigenvalues of the corres
 ponding matrix elliptic operator in the case of the boundary control.
CATEGORIES:Séminaire,Analyse Appliquée
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DTSTART:20131027T020000
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