针对具有通信时延的离散时间二阶多个体系统的一致性问题,采用了具有静态领导者的一致性算法.根据广义Nyquist判据和Gerschgorin圆盘定理,得到了系统渐近收敛到领导者状态的充分条件.在个体与领导者构成的连接拓扑满足一定连通性的前提下,该充分条件是分散形式的,与控制参数、邻居个体之间的连接权值相关,而与通信时延大小无关.仿真结果证明了结论的正确性. Aiming at the consistency of discrete-time second-order multi-body systems with communication delay, a consistent algorithm with static leader is adopted. According to the generalized Nyquist criterion and Gerschgorin disc theorem, the asymptotic convergence of the system to the leader state The sufficient conditions for the connection topologies of individuals and leaders to satisfy certain connectivity are decentralized, and are related to the control parameters and the weights of connections between neighbors, but not to the size of the communication delay The simulation result proves the correctness of the conclusion.