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SUMMARY:On the exact and partial controllability of a membranal cylindrica
 l arch
DTSTART:20081210T141500
DTSTAMP:20260924T115209Z
UID:883fac23a090360f70e0a222ad54be705659934a970177c163410653
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Arnaud MÜNCH\nWe consider the dynamical system y00 + AM
 y = 0 - where AM is a mixed order operator with essential spectrum - Model
 ing the linear membranal vibration of a cylindrical elastic arch with radi
 us of curvature r. y = (y1\; y3) denotes the tangential and normal displac
 ement. We examine in this work the null controllability by acting only on 
 the tangential component y1 on the boundary. Using a spectral analysis and
  Ingham type theorem\, we show that the arch is controllable if and only i
 f the initial condition (y0\; y1) belongs to the orthogonal of KerAM. Then
 \, we show that the partial controllability problem\, which consists to dr
 ive only the first component y1 - holds uniformly with respect to the init
 ial data. We also discussed the behavior of the control with respect to th
 e curvature of the arch as well as the Neumann case. Numerical simulations
 \, in full agreement with the theoretical part\, complete the study.
LOCATION:MAA110
STATUS:CONFIRMED
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