IEEE Transactions on Automatic Control, Vol.52, No.11, 2129-2134, 2007
Quantitative characterizations of exponential convergence property of nonlinear discrete dynamical systems
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:exponential bounds;global exponential stability;invariant quantity;Lyapunov functions;nonlinear discrete dynamical systems