• Title of article

    Global Exponential Asymptotic Stability in Nonlinear Discrete Dynamical Systems

  • Author/Authors

    Lisheng Wang، نويسنده , , Pheng-Ann Heng and Kwong-Sak Leung، نويسنده , , Zongben Xu، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2001
  • Pages
    10
  • From page
    349
  • To page
    358
  • Abstract
    For the nonlinear discrete dynamical system xk 1 Txk on bounded, closed and convex set D Rn, we present several sufficient and necessary conditions under which the unique equilibrium point is globally exponentially asymptotically stable. The infimum of exponential bounds of convergent trajectories is also derived.
  • Keywords
    Difference equations , global exponentialasymptotic stability , discrete dynamical systems , Exponential bound , contractionmap. , topologically equivalent metric
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2001
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    932616