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本文通过利用李雅普诺夫函数和李雅普诺夫矩阵方程的性质，对具有非线性滞后关联的一类随机大系统建立了分散鲁棒镇定的判据，所得闭环随机大系统的稳定性不依赖于任意实数滞后，并对不确定系数矩阵和随机扰动强度具有鲁棒性．
In this paper, by using the properties of Lyapunov function and Lyapunov matrix equation, the criterion of decentralized robust stabilization is established for a class of stochastic large-scale systems with nonlinear hysteretic correlation. The stability of the closed-loop stochastic large-scale system does not depend on any Real numbers lag, and robust to the uncertain coefficient matrix and random disturbance intensity.