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
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