• DocumentCode
    2018596
  • Title

    State feedback stabilization of linear time-varying systems on time scales

  • Author

    Davis, John M. ; Gravagne, Ian ; Jackson, Billy ; Marks, Robert J.

  • Author_Institution
    Dept. of Math., Baylor Univ., Waco, TX, USA
  • fYear
    2010
  • fDate
    7-9 March 2010
  • Firstpage
    9
  • Lastpage
    14
  • Abstract
    A fundamental result in linear system theory is the development of a linear state feedback stabilizer for time-varying systems under suitable controllability constraints. This result was previously restricted to systems operating on the continuous (¿) and uniform discrete (h¿) time domains with constant step size h. Using the framework of dynamic equations on time scales, we construct a linear state feedback stabilizer for time-varying systems on arbitrary time domains.
  • Keywords
    linear systems; stability; state feedback; time-varying systems; continuous time domains; controllability constraints; linear system theory; linear time varying systems; state feedback stabilization; time scales; uniform discrete time domains; Communication system control; Constraint theory; Controllability; Equations; Linear feedback control systems; Linear systems; Mathematical model; Mathematics; State feedback; Time varying systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    System Theory (SSST), 2010 42nd Southeastern Symposium on
  • Conference_Location
    Tyler, TX
  • ISSN
    0094-2898
  • Print_ISBN
    978-1-4244-5690-1
  • Type

    conf

  • DOI
    10.1109/SSST.2010.5442794
  • Filename
    5442794