• DocumentCode
    3536380
  • Title

    Stabilization of switched linear differential-algebraic equations via time-dependent switching signals

  • Author

    Mironchenko, Andrii ; Wirth, Fabian ; Wulff, Kai

  • Author_Institution
    Inst. of Math., Univ. of Wurzburg, Wurzburg, Germany
  • fYear
    2013
  • fDate
    10-13 Dec. 2013
  • Firstpage
    5975
  • Lastpage
    5980
  • Abstract
    We investigate stabilizability of switched systems of differential-algebraic equations (DAEs). For such systems we introduce a parameterized family of switched ordinary differential equations that approximate the dynamic behavior of the switched DAE. A criterion for stabilizability of a switched DAE system using time-dependent switching is obtained in terms of these parameterized approximations. The tightness of the proposed criterion is analyzed.
  • Keywords
    approximation theory; differential algebraic equations; differential-algebraic equation; dynamic behavior; parameterized approximation; switched DAE system stabilization; switched linear equation; switched ordinary differential equation; time-dependent switching signal; Approximation methods; Differential equations; Equations; Linear systems; Stability analysis; Switched systems; Switches; differential-algebraic systems; stabilization; switched systems;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
  • Conference_Location
    Firenze
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4673-5714-2
  • Type

    conf

  • DOI
    10.1109/CDC.2013.6760832
  • Filename
    6760832