针对一类二阶离散多智能体系统,在多领导者和固定拓扑情形下,研究了单时滞和多时滞下的系统可控性,运用增广矩阵、可控矩阵、行列式等方法及定义得出了系统可控的充分条件.结果表明整个系统的可控性不仅与跟从者之间的耦合拓扑关系有关,而且与领导者和跟从者之间的信息传递关系有关.所得结果通过例子进行了验证. For a class of second-order discrete multi-agent systems, under multiple leaders and fixed topologies, the system controllability under single-delay and multi-delay is studied. By using augmented matrices, controllable matrices and determinant methods, The results show that the controllability of the whole system is not only related to the coupling topological relationship between the follower, but also to the information transmission relationship between the leader and the follower.The results obtained by the example Verified.