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Global Exponential Asymptotic Stability in Nonlinear Discrete Dynamical Systems

✍ Scribed by Lisheng Wang; Pheng-Ann Heng; Kwong-Sak Leung; Zongben Xu

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
82 KB
Volume
258
Category
Article
ISSN
0022-247X

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✦ Synopsis

For the nonlinear discrete dynamical system x s Tx on bounded, closed kq 1 k and convex set D ; 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.

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