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Controllability of Parabolic Equations by the Flatness Approach

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  • معلومة اضافية
    • Contributors:
      Centre Automatique et Systèmes (CAS); Mines Paris - PSL (École nationale supérieure des mines de Paris); Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL); Centre de Robotique (CAOR); QUANTum Information Circuits (QUANTIC); École normale supérieure - Paris (ENS-PSL); Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Mines Paris - PSL (École nationale supérieure des mines de Paris); Université Paris Sciences et Lettres (PSL)-Inria de Paris; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
    • بيانات النشر:
      HAL CCSD
      Cambridge University Press
    • الموضوع:
      2017
    • Collection:
      MINES ParisTech: Archive ouverte / Open Archive (HAL)
    • نبذة مختصرة :
      International audience ; — We consider linear one-dimensional parabolic equations with space dependent coefficients that are only measurable and that may be degenerate or singular. We prove the null controllability with one boundary control by following the flatness approach, which provides explicitly the control and the associated trajectory as series. As an application, we consider the heat equation with a discontinuous coefficient in the principal part. The note ends with a numerical experiment which demonstrates the effectiveness of the method.
    • الرقم المعرف:
      10.1017/9781108304023.009
    • الدخول الالكتروني :
      https://minesparis-psl.hal.science/hal-01769232
      https://minesparis-psl.hal.science/hal-01769232v1/document
      https://minesparis-psl.hal.science/hal-01769232v1/file/MartiRR2017LMSLNS%28final%29.pdf
      https://doi.org/10.1017/9781108304023.009
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.A41DF920