Asymptotic stability of nonlinear discretedynamical systems involving (sp) matrix

摘要

In this paper, we prove a new result for the exponential stability of the nullsolution of a nonlinear non-autonomous discrete dynamical system described byx(n + 1) = g(n,x(n))n = 0,1, 2,...where g : Z~+xΩ→Ω, Ω CR~kis a continuous nonlinear function satisfying g(n, 0) =0 An, using the concept of (sp) matrix introduced by Xue and Guo [4]. Numericalexamples are also given to illustrate our result .