• DocumentCode
    3416383
  • Title

    Cauchy problem for Laplace equation: An observer based approach

  • Author

    Majeed, Muhammad Usman ; Zayane-Aissa, Chadia ; Laleg-Kirati, Taous Meriem

  • Author_Institution
    Comput., Electr. & Math. Sci. & Eng. (CEMSE), King Abdullah Univ. of Sci. & Technol. (KAUST), Thuwal, Saudi Arabia
  • fYear
    2013
  • fDate
    29-31 Oct. 2013
  • Firstpage
    659
  • Lastpage
    664
  • Abstract
    A method to solve Cauchy Problem for Laplace equation using state observers is proposed. It is known that this problem is ill-posed. The domain under consideration is simple lipschitz in ℝ2 with a hole. The idea is to recover the solution over whole domain from the observations on outer boundary. Proposed approach adapts one of the space variables as a time variable. The observer developed to solve Cauchy problem for the Laplace´s equation is compuationally robust and accurate.
  • Keywords
    Laplace equations; control system synthesis; observers; Cauchy problem; Laplace equation; observer based approach; simple Lipschitz; space variables; state observers; time variable; Gold; Heating; Observers;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Systems and Control (ICSC), 2013 3rd International Conference on
  • Conference_Location
    Algiers
  • Print_ISBN
    978-1-4799-0273-6
  • Type

    conf

  • DOI
    10.1109/ICoSC.2013.6750929
  • Filename
    6750929
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3416383