• DocumentCode
    272071
  • Title

    About the properties of the upper Bohl exponents of diagonal discrete linear time-varying systems

  • Author

    Niezabitowski, Michał

  • Author_Institution
    Inst. of Autom. Control, Silesian Univ. of Technol., Gliwice, Poland
  • fYear
    2014
  • fDate
    2-5 Sept. 2014
  • Firstpage
    880
  • Lastpage
    884
  • Abstract
    One of the most important numerical characteristics of dynamical systems used in control theory are the Bohl exponents. By contrast with the Lyapunov characteristics, the properties of the Bohl exponents are much less investigated in the literature. In this paper, we show the example of two-dimensional discrete time-varying linear system with bounded coefficients for which the number of upper Bohl exponents of solutions may be greater than dimension of the system.
  • Keywords
    discrete systems; exponential distribution; time-varying systems; Bohl exponents; discrete linear time-varying systems; dynamical systems; numerical characteristics; Asymptotic stability; Control systems; Differential equations; Linear systems; Stability criteria; Time-varying systems; Lyapunov exponent; stability of linear systems; time-varying systems; upper Bohl exponents;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Methods and Models in Automation and Robotics (MMAR), 2014 19th International Conference On
  • Conference_Location
    Miedzyzdroje
  • Print_ISBN
    978-1-4799-5082-9
  • Type

    conf

  • DOI
    10.1109/MMAR.2014.6957473
  • Filename
    6957473