• DocumentCode
    3109588
  • Title

    The Geometry of Optimal Control Solutions on some Six Dimensional Lie Groups

  • Author

    Biggs, James ; Holderbaum, William ; Holderbaum, William

  • Author_Institution
    School of System Engineering, University of Reading, Reading RG2, England. Email: j.biggs@rdg.ac.uk
  • fYear
    2005
  • fDate
    12-15 Dec. 2005
  • Firstpage
    1427
  • Lastpage
    1432
  • Abstract
    This paper examines optimal solutions of control systems with drift defined on the orthonormal frame bundle of particular Riemannian manifolds of constant curvature. The manifolds considered here are the space forms Euclidean space E3, the spheres S3and hyperboloids H3with the corresponding frame bundles equal to the Euclidean group of motions SE(3), the rotation group SO(4) and the Lorentz group SO
  • Keywords
    Airplanes; Algebra; Control systems; Geometry; Kinematics; Manifolds; Mathematical model; Optimal control; Physics; Systems engineering and theory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
  • Print_ISBN
    0-7803-9567-0
  • Type

    conf

  • DOI
    10.1109/CDC.2005.1582359
  • Filename
    1582359
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3109588