• DocumentCode
    189018
  • Title

    Control systems on three-dimensional lie groups

  • Author

    Biggs, Rory ; Remsing, Claudiu C.

  • Author_Institution
    Dept. of Math. (Pure & Appl.), Rhodes Univ., Grahamstown, South Africa
  • fYear
    2014
  • fDate
    24-27 June 2014
  • Firstpage
    2442
  • Lastpage
    2447
  • Abstract
    We consider left-invariant control affine systems evolving on three-dimensional matrix Lie groups. Equivalence and controllability are addressed. The full-rank systems are classified under detached feedback equivalence; a representative is identified for each equivalence class. A characterization of controllability on each group is then determined.
  • Keywords
    Lie groups; controllability; equivalence classes; feedback; matrix algebra; controllability; detached feedback equivalence class; full-rank systems; left-invariant control affine systems; three-dimensional Lie groups; three-dimensional matrix Lie groups; Aerospace electronics; Algebra; Controllability; Nonhomogeneous media; Standards; Trajectory;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (ECC), 2014 European
  • Conference_Location
    Strasbourg
  • Print_ISBN
    978-3-9524269-1-3
  • Type

    conf

  • DOI
    10.1109/ECC.2014.6862312
  • Filename
    6862312
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=189018