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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