DocumentCode
971263
Title
Quantitative Characterizations of Exponential Convergence Property of Nonlinear Discrete Dynamical Systems
Author
Wang, Lisheng ; Xu, Zongben ; Zhao, Qunfei
Author_Institution
Shanghai Jiao Tong Univ., Shanghai
Volume
52
Issue
11
fYear
2007
Firstpage
2129
Lastpage
2134
Abstract
In this technical note, we consider the exponential convergence property of the trajectories of nonlinear discrete dynamical systems with exponential stability. Based on an invariant quantity derived from Lyapunov functions of the systems, the essential and quantitative relationship between exponential convergence property of trajectories and the Lyapunov functions is revealed.
Keywords
Lyapunov methods; asymptotic stability; convergence; discrete systems; nonlinear dynamical systems; Lyapunov function; exponential bounds; exponential convergence property; exponential stability; invariant quantity; nonlinear discrete dynamical systems; quantitative characterization; Automation; Convergence; Lyapunov method; Mathematics; Numerical analysis; Stability analysis; State estimation; Exponential bounds; Lyapunov functions; global exponential stability; invariant quantity; nonlinear discrete dynamical systems;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2007.908321
Filename
4380513
Link To Document