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
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
Journal title :
Journal of Mathematical Analysis and Applications
