• DocumentCode
    391063
  • Title

    Differentiability of projections onto cones and sensitivity analysis for optimal control

  • Author

    Malanowski, K.

  • Author_Institution
    Syst. Res. Inst., Polish Acad. of Sci., Warszawa, Poland
  • Volume
    3
  • fYear
    2002
  • fDate
    10-13 Dec. 2002
  • Firstpage
    3534
  • Abstract
    The differentiability properties of the metric projections on the cones of nonnegative functions are considered. It is shown that the metric projection mapping is Bouligand differentiable in Lp(0, 1), but it is not Bouligand differentiable in W1,p(0, 1). Using differentiability in Lp(0, 1) the application of Robinson´s implicit function theorem for nonsmooth equations to sensitivity analysis for optimal control problems is presented.
  • Keywords
    optimal control; optimisation; sensitivity analysis; Bouligand differentiable; Robinson implicit function theorem; cones; differentiability of projections; metric projection mapping; metric projections; nonnegative functions; nonsmooth equations; optimal control; sensitivity analysis; Constraint theory; Control systems; Differential equations; Extraterrestrial measurements; Hilbert space; Lifting equipment; Optimal control; Sensitivity analysis; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-7516-5
  • Type

    conf

  • DOI
    10.1109/CDC.2002.1184423
  • Filename
    1184423
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=391063