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本文研究变系数、变时滞线性随机大系统的均方渐近稳定性．通过将Ｈａｌａｎａｙ不等式推广到高维空间、采用向量Ｌｙａｐｕｎｏｖ函数、运用Ｍ－矩阵等工具，得到了随机大系统的稳定性判据．文中模型考虑了子系统之间的交互随机干扰，所得稳定性判据是滞后无关的．
In this paper, we study the mean square asymptotic stability of linear stochastic large-scale systems with variable coefficients and time-varying delays. By applying the Halanay inequality to high-dimensional space, vector Lyapunov function and M-matrix tools are used to obtain the stability criterion of large-scale stochastic system. In this paper, the model considers the interaction of subsystems randomly and the stability criterion is independent of lag.