%0 Journal Article
%T -Stability of Multistable Nonlinear Discrete-Time Systems
%A Zhishuai Ding
%A Guifang Cheng
%A Xiaowu Mu
%J Discrete Dynamics in Nature and Society
%D 2012
%I Hindawi Publishing Corporation
%R 10.1155/2012/418091
%X Motivated by the importance and application of discrete dynamical systems, this paper presents a new Lyapunov characterization which is an extension of conventional Lyapunov characterization for multistable discrete-time nonlinear systems. Based on a new type stability notion of -stability introduced by D. Efimov, the estimates of solution and the Lyapunov stability theorem and converse theorem are proposed for multi-stable discrete-time nonlinear systems.
%U http://www.hindawi.com/journals/ddns/2012/418091/