• DocumentCode
    234576
  • Title

    Convergence in the boundary layer for nonhomogeneous linear singularly perturbed systems

  • Author

    Zhibin Yan ; Yanhua Yuan

  • Author_Institution
    Natural Sci. Res. Center, Harbin Inst. of Technol., Harbin, China
  • fYear
    2014
  • fDate
    28-30 July 2014
  • Firstpage
    2898
  • Lastpage
    2902
  • Abstract
    Convergence of the solutions of nonhomogeneous linear singularly perturbed systems to that of the corresponding reduced singular system on the half-line [0, ∞) is considered. To include the situation on a neighborhood of initial instant, a boundary layer, a distributional approach to convergence is adopted. An explicit analytical expression for the limit as a distribution is proved.
  • Keywords
    approximation theory; analytical expression; approximation theory; boundary layer; nonhomogeneous linear singularly perturbed systems; Control systems; Convergence; Differential equations; Indexes; Linear systems; Nickel; Presses; distribution theory; inconsistent initial condition; singular perturbation; singular system;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control Conference (CCC), 2014 33rd Chinese
  • Conference_Location
    Nanjing
  • Type

    conf

  • DOI
    10.1109/ChiCC.2014.6897100
  • Filename
    6897100