• DocumentCode
    3584227
  • Title

    Singular arcs in the optimal control of a parabolic equation

  • Author

    Bonnans, J. Frederic

  • Author_Institution
    INRIA-Saclay & Centre de Math. Appl., Ecole Polytech., Palaiseau, France
  • fYear
    2013
  • Firstpage
    69
  • Lastpage
    74
  • Abstract
    We present a theory of singular arc, and the corresponding second order necessary and sufficient conditions, for the optimal control of a semilinear parabolic equation with scalar control applied on the r.h.s. We obtain in particular an extension of Kelley´s condition, and the characterization of a quadratic growth property for a weak norm.
  • Keywords
    optimal control; parabolic equations; optimal control; quadratic growth property; scalar control; semilinear parabolic equation; singular arcs; Cost function; Equations; Mathematical model; Optimal control; Switches; Transforms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2013 European
  • Type

    conf

  • Filename
    6669418
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3584227