• DocumentCode
    697039
  • Title

    On the Noether theorem for optimal control

  • Author

    Torres, D.F.M.

  • Author_Institution
    Dept. of Math., Univ. of Aveiro, Aveiro, Portugal
  • fYear
    2001
  • fDate
    4-7 Sept. 2001
  • Firstpage
    244
  • Lastpage
    249
  • Abstract
    We obtain a generalization of E. Noether´s theorem for the optimal control problems. The generalization involves a one-parameter family of smooth maps which may depend also on the control and a Lagrangian which is invariant up to an addition of an exact differential.
  • Keywords
    optimal control; E. Noether theorem generalization; Noether theorem; optimal control problems; smooth map one-parameter family; Calculus; Context; Geometry; Optimal control; Relativistic quantum mechanics; Noether´s theorem; Pontryagin extremals; calculus of variations; first integrals; optimal control;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2001 European
  • Conference_Location
    Porto
  • Print_ISBN
    978-3-9524173-6-2
  • Type

    conf

  • Filename
    7075913
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=697039