New Sufficient Criteria for Stability of Nonlinear Gray Discrete Dynamic Systems

Abstract

In this paper, the stability problem of grey discrete dynamic systems with nonlinear perturbations is considered, by using the matrix eigenvalues theory, matrix norm theory and Lyapunov's method, some new sufficient conditions are obtained which guarantee the stability of nonlinear grey discrete dynamic systems. This results generalize the previous works and are shown to be less conservative than those in recent literatures. Examples are given to illustrate our main results. Furthermore, a kind of stability parameter and its existence are also discussed.