• DocumentCode
    337763
  • Title

    The trajectory manifold of a nonlinear control system

  • Author

    Hauser, John ; Meyer, David G.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA
  • Volume
    1
  • fYear
    1998
  • fDate
    1998
  • Firstpage
    1034
  • Abstract
    In this paper, we show the set of exponentially stabilizable trajectories of a nonlinear system is a Banach manifold as smooth as the system. The main tool is a projection operator resulting a trajectory tracking control law. These results provide important insights into the nature of the trajectory exploration problem
  • Keywords
    Banach spaces; asymptotic stability; nonlinear control systems; tracking; Banach manifold; exponentially stabilizable trajectories; nonlinear control system; trajectory manifold; trajectory tracking control law; Closed loop systems; Contracts; Control systems; Differential equations; Feedback loop; Manifolds; Nonlinear control systems; Nonlinear systems; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
  • Conference_Location
    Tampa, FL
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-4394-8
  • Type

    conf

  • DOI
    10.1109/CDC.1998.760833
  • Filename
    760833