Asymptotic stability of grey stochastic linear delay systems

The concepts for grey stochastic linear delay systems and its asymptotic stability are proposed,and the asymptotic stability of grey stochastic linear delay systems is investigated by applying the theory of matrices and the asymptotic convergence theorem for stochastic differential delay equations and constructing the Lyapunov functions.Several sufficient conditions for stochastic asymptotic stabilities are obtained.Finally,a numerical example shows the convenience and effectiveness of the proposed sufficient conditions.