• DocumentCode
    796989
  • Title

    A variational approach to optimum distributed parameter systems

  • Author

    Kim, M. ; Gajwani, S.H.

  • Author_Institution
    Cornell University, Ithaca, NY, USA
  • Volume
    13
  • Issue
    2
  • fYear
    1968
  • fDate
    4/1/1968 12:00:00 AM
  • Firstpage
    191
  • Lastpage
    193
  • Abstract
    The problem of designing an optimum distributed parameter system is considered. The canonical equations which are the necessary conditions for optimality are derived by applying the calculus of variation. For systems with a quadratic performance index and with its dynamics described by the diffusion, wave, or biharmonic equation, a method for solving the canonical equations is discussed.
  • Keywords
    Distributed systems; Optimal control; Boundary conditions; Calculus; Controllability; Differential equations; Distributed parameter systems; Integral equations; Lagrangian functions; Optimal control; Partial differential equations; Performance analysis;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1968.1098857
  • Filename
    1098857
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=796989