• DocumentCode
    3218894
  • Title

    A unified treatment for controllability/observability problems of partial differential equations of second order

  • Author

    Fu Xiaoyu

  • Author_Institution
    Sch. of Math., Sichuan Univ., Chengdu, China
  • fYear
    2006
  • fDate
    7-11 Aug. 2006
  • Firstpage
    966
  • Lastpage
    971
  • Abstract
    In this paper, a weighted identity for partial differential operators (a + ib) ∂t + Σj, k =1n ∂k (ajk ∂j), (a, b ∈ R), is established. By suitably choosing the parameters a and b, one may deduce all the known controllability/observability results for the parabolic, hyperbolic, Schrodinger and plate equations that are derived via Carleman estimate. Meanwhile, a new controllability/observability result is presented for the linearized complex Ginzburg-Landau equation.
  • Keywords
    Schrodinger equation; controllability; hyperbolic equations; observability; parabolic equations; partial differential equations; Carleman estimate; Schrodinger equations; controllability problems; hyperbolic equations; linearized complex Ginzburg-Landau equation; observability problems; parabolic equations; plate equations; second order partial differential equations; Controllability; IEEE catalog; Mathematics; Observability; Partial differential equations; Strontium; Carleman estimate; Controllability; complex Ginzburg-Landau equation; observability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference, 2006. CCC 2006. Chinese
  • Conference_Location
    Harbin
  • Print_ISBN
    7-81077-802-1
  • Type

    conf

  • DOI
    10.1109/CHICC.2006.280838
  • Filename
    4060672
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3218894