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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.908321
