• DocumentCode
    1844933
  • Title

    Constrained variational principles on manifolds

  • Author

    Bloch, Anthony M. ; Crouch, Peter E.

  • Author_Institution
    Dept. of Math., Michigan Univ., Ann Arbor, MI, USA
  • Volume
    1
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    1
  • Abstract
    We describe a geometric approach to finding the extremal equations for variational problems subject to nonlinear constraints on manifolds. This has applications to optimal control problems and extends earlier work. We formulate the problem on an appropriate vector bundle and show how to describe the extremal equations in terms of symplectic geometry on an appropriate reduced space
  • Keywords
    geometry; mechanical variables control; optimal control; variational techniques; vectors; constrained variational principles; extremal equations; geometric approach; manifolds; nonlinear constraints; optimal control problems; reduced space; symplectic geometry; variational problems; vector bundle; Geometry; Lagrangian functions; Manifolds; Mathematics; Mechanical systems; Nonlinear equations; Optimal control; Systems engineering and theory; Wheels;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
  • Conference_Location
    Phoenix, AZ
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-5250-5
  • Type

    conf

  • DOI
    10.1109/CDC.1999.832736
  • Filename
    832736
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1844933