• DocumentCode
    2664613
  • Title

    Input-to-state stability of a class of discrete time descriptor systems

  • Author

    Juan, Zhou ; Jinghao, Li

  • Author_Institution
    Inst. of Syst. Sci., Northeastern Univ., Shenyang, China
  • fYear
    2012
  • fDate
    23-25 May 2012
  • Firstpage
    4260
  • Lastpage
    4264
  • Abstract
    Input-to-state stability(ISS) of discrete time descriptor systems with internal disturbances is investigated in this paper.We extend the concept of input to state stability (ISS) for standard state-space nonlinear systems to descriptor systems. Based on the ISS theory of standard state-space nonlinear systems, a sufficient condition for a class of nonlinear descriptor system to be ISS is derived by using Lyapunov stability theory. Furthermore, a numerical example demonstrates the proposed results.
  • Keywords
    Lyapunov methods; discrete time systems; linear matrix inequalities; nonlinear control systems; stability; state-space methods; ISS theory; LMI; Lyapunov stability theory; discrete time descriptor systems; input-to-state stability; internal disturbances; linear matrix inequality; nonlinear descriptor system; standard state-space nonlinear systems; Lyapunov methods; Nonlinear systems; Numerical stability; Stability criteria; Standards; Vectors; Nonlinear descriptor systems; input-to-state stability; linear matrix inequality (LMI);
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control and Decision Conference (CCDC), 2012 24th Chinese
  • Conference_Location
    Taiyuan
  • Print_ISBN
    978-1-4577-2073-4
  • Type

    conf

  • DOI
    10.1109/CCDC.2012.6243999
  • Filename
    6243999