• DocumentCode
    852784
  • Title

    Perturbed optimal control problems

  • Author

    Clarke, Frank H.

  • Author_Institution
    Universite de Montreal, Montreal, P.Q., Canada
  • Volume
    31
  • Issue
    6
  • fYear
    1986
  • fDate
    6/1/1986 12:00:00 AM
  • Firstpage
    535
  • Lastpage
    542
  • Abstract
    We examine a family of problems obtained by perturbing infinite-dimensionally the dynamics of an optimal control problem. A formula is derived for the generalized gradient of the associated value function, one which specializes to yield, for instance, information about ordinary directional derivatives. Several examples are discussed.
  • Keywords
    Gradient methods; Optimal control; Sensitivity; Automatic control; Cost function; Councils; Differential equations; Jacobian matrices; Manifolds; Optimal control;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104318
  • Filename
    1104318