• DocumentCode
    3250840
  • Title

    Topological obstructions to distributed feedback stabilization

  • Author

    Mansouri, Abdol-Reza

  • Author_Institution
    Dept. of Math. & Stat., Queen´s Univ., Kingston, ON, Canada
  • fYear
    2013
  • fDate
    2-4 Oct. 2013
  • Firstpage
    1573
  • Lastpage
    1575
  • Abstract
    We present topological obstructions to the existence of C1 stabilizing feedback laws for control systems of the form ẋ = f(x, u), subject to the constraint that the system function f and the feedback law u are assumed to depend only on selected subsets of the state variables. Such constraints arise naturally in the context of distributed control systems, and the topological obstructions are expressed in terms of the generators of certain homology groups associated with the control problem.
  • Keywords
    distributed control; feedback; stability; topology; distributed control systems; distributed feedback stabilization; homology groups; topological obstructions; Closed loop systems; Decentralized control; Feedback control; Generators; Gold; Mathematics; Feedback stabilization; degree; homology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communication, Control, and Computing (Allerton), 2013 51st Annual Allerton Conference on
  • Conference_Location
    Monticello, IL
  • Print_ISBN
    978-1-4799-3409-6
  • Type

    conf

  • DOI
    10.1109/Allerton.2013.6736715
  • Filename
    6736715
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3250840