Global exponential asymptotic stability in nonlinear discrete dynamical systems

Authors
Wang, LS Heng, PA Leung, KS Xu, ZB
Citation
Ls. Wang et al., Global exponential asymptotic stability in nonlinear discrete dynamical systems, J MATH ANAL, 258(1), 2001, pp. 349-358
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
258
Issue
1
Year of publication
2001
Pages
349 - 358
Database
ISI
SICI code
0022-247X(20010601)258:1<349:GEASIN>2.0.ZU;2-6
Abstract
For the nonlinear discrete dynamical system Xk + 1 = Tx(k) on bounded, clos ed and convex set D subset of R-n, we present several sufficient and necess ary conditions under which the unique equilibrium point is globally exponen tially asymptotically stable. The infimum of exponential bounds of converge nt trajectories is also derived. (C) 2001 Academic Press.