• DocumentCode
    3011690
  • Title

    The category of affine connection control systems

  • Author

    Lewis, Andrew D.

  • Author_Institution
    Dept. of Math. & Stat., Queen´´s Univ., Kingston, Ont., Canada
  • Volume
    5
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    5119
  • Abstract
    The category of affine connection control systems is one whose objects are control systems whose drift vector field is the geodesic spray of an affine connection, and whose control vector fields are vertical lifts to the tangent bundle of vector fields on configuration space. We initiate an investigation of morphisms (feedback transformations) in this category, including the study of subsystems and factor systems
  • Keywords
    feedback; large-scale systems; mechanical variables control; affine connection control systems; control vector fields; drift vector field; factor systems; feedback transformations; geodesic spray; morphisms; subsystems; tangent bundle; vertical lifts; Control systems; Ear; Feedback; Geometry; Kinetic energy; Mathematics; Mechanical systems; Physics; Spraying; Statistics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
  • Conference_Location
    Sydney, NSW
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-6638-7
  • Type

    conf

  • DOI
    10.1109/CDC.2001.914762
  • Filename
    914762
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3011690