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Global exponential asymptotic stability in nonlinear discrete dynamical systems
Date Issued
2001
ISSN
0022247X
Citation
Journal of Mathematical Analysis and Applications, 2001, vol. 258 (1), pp. 349 - 358
Type
Peer Reviewed Journal Article
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
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