中文摘要：

研究一类具有时滞和时变系数的离散多智能体系统的一致性问题．首先，通过构造合适的控制协议，并以第一个智能体的位移作为参考状态，将原系统的一致性问题转化为误差系统中零解的渐近稳定性问题；然后，运用矩阵范数理论研究误差系统零解的渐近稳定性，导出使多智能体系统实现一致的充分条件；最后，通过数值模拟验证了该判据的正确性和有效性．

英文摘要：

The problem of consensus on a discrete multi-agent system with delay and time-variant coefficients is considered. Firstly, by constructing an appropriate control protocol and letting the position of the first agent be the reference state, the consensus problem of the original system is transformed into the asymptotic stability problem of the error system. Then, the asymptotic stability of the zero solution in the error system is investigated by using matrix norm theory, and some sufficient conditions for the multi-agent system to achieve consensus are obtained. Finally, numerical simulations are also given to validate the correctness and effectiveness of the proposed criteria.