• DocumentCode
    1952480
  • Title

    Geodesics and an optimal control algorithm

  • Author

    Kaya, C. Yalçin ; Noakes, J. Lyle

  • Author_Institution
    Sch. of Math., Univ. of South Australia, The Levels, SA, Australia
  • Volume
    5
  • fYear
    1997
  • fDate
    10-12 Dec 1997
  • Firstpage
    4918
  • Abstract
    A global algorithm for finding a geodesic joining given two points on a Riemannian manifold has recently been developed. It is simple to implement, and works well in practice, with no need for an initial guess. An optimal control problem is much more general than finding a geodesic. Nevertheless, a generalization seems now possible, based on recent numerical experiments
  • Keywords
    differential geometry; iterative methods; optimal control; Riemannian manifold; geodesics; iterative methods; optimal control; Australia; Boundary conditions; Control systems; Equations; Feedback; Mathematics; Optimal control; Partitioning algorithms; Quadratic programming; Spline;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
  • Conference_Location
    San Diego, CA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4187-2
  • Type

    conf

  • DOI
    10.1109/CDC.1997.649819
  • Filename
    649819