Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.11861/7658
Title: | Global exponential asymptotic stability in nonlinear discrete dynamical systems |
Authors: | Wang, Lisheng Heng, Pheng-Ann Prof. LEUNG Kwong Sak Xu, Zongben |
Issue Date: | 2001 |
Source: | Journal of Mathematical Analysis and Applications, 2001, vol. 258 (1), pp. 349 - 358 |
Journal: | Journal of Mathematical Analysis and Applications |
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. © 2001 Academic Press. Author keywords Discrete dynamical systems; difference equations; global exponential asymptotic stability; exponential bound; topologically equivalent metric; contraction map |
Type: | Peer Reviewed Journal Article |
URI: | http://hdl.handle.net/20.500.11861/7658 |
ISSN: | 0022247X |
DOI: | 10.1006/jmaa.2001.7510 |
Appears in Collections: | Applied Data Science - Publication |
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