讨论了多组滞后线性定常离散大系统的稳定性问题。给出了求解离散Ｌｙａｐｕｎｏｖ方程及实对称矩阵特征根的智能方法，同时基于Ｍ－矩阵建立了判定多组滞后线性定常离散大系统无条件渐近稳定的实用并行算法。最后，通过实例验证了该算法的正确性和有效性。 The stability of multi-group delay linear stationary large-scale systems is discussed. An intelligent method for solving discrete Lyapunov equations and eigenvalues ​​of real symmetric matrices is given. Meanwhile, a practical parallel algorithm to determine the unconditional asymptotic stability of several groups of linearly stationary discrete systems with large delay is established based on M-matrices. Finally, the correctness and validity of the algorithm are verified by examples.