Considering that the agents cannot communicate normally with each other under Denial-of-Service (DoS) attack,the problem of containment control for discrete,heterogeneous multi-agent systems based on graphical diagram is studied.A distributed state observer is constructed with consideration that the follower state can not be obtained online.History information is added in the design of each followers controller,and a distributed dynamic state feedback control scheme is adopted to strengthen the constraint conditions of containment control through internal and external systems.Therefore,the followers in the system can track the leader in time,and the problem of system output regulation is solved.By using piecewise Lyapunov function,linear matrix inequality and other techniques,sufficient conditions for the asymptotic convergence of the system are obtained.Finally,numerical simulations verify the validity of the proposed theoretical results.