Global exponential asymptotic stability in nonlinear discrete dynamical systems

被引：8
|
作者：
Wang, LS [1 ]
Heng, PA
Leung, KS
Xu, ZB
机构：
[1] Chinese Univ Hong Kong, Dept Comp Sci & Engn, Shatin, Hong Kong, Peoples R China
[2] Xian Jiao Tong Univ, Res Ctr Appl Math, Xian 710049, Peoples R China
[3] Xian Jiao Tong Univ, Sch Sci, Inst Informat & Syst Sci, Xian 710049, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2001年 / 258卷 / 01期
关键词：
discrete dynamical systems; difference equations; global exponential asymptotic stability; exponential bound; topologically equivalent metric; contraction map;
D O I：
10.1006/jmaa.2001.7510
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For the nonlinear discrete dynamical system Xk + 1 = Tx(k) on bounded, closed and convex set D subset of R-n, 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. (C) 2001 Academic Press.
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页码：349 / 358
页数：10
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