The mean square bounded consensus problem of multi?agent systems under deception attacks was studied， and an event?triggered impulsive control method with upper bound of trigger time was designed based on the fixed?time impulsive control and event?triggered mechanism. By utilizing the Lyapunov stability theory， graph theory， and linear matrix inequality techniques， the sufficient conditions for the mean square bounded consensus of the multi?agent systems were obtained. Moreover， it was verified that the proposed event?triggered impulsive control method can automatically adjust the impulsive time intervals， and realize the secure consensus quickly. Finally， the numerical simulation results further verified the validity of the theoretical results.

The consensus problem of the two-layer multi-agent systems subjected to cyber-attacks was studied. Aiming at the two-layer multi-agent systems composed of the leaders' layer and the followers' layer, the situation as the following was given:the neighboring agents in the leaders' layer were cooperative, the adjacent agents in the followers' layer were cooperative or competitive, and there was a restraining relationship between some corresponding agents in the leaders' layer and the followers' layer. The consensus problem among the nodes of leaders' layer, followers' layer and two-layer multi-agent systems subjected to cyber-attack was discussed. Based on the related knowledge such as Linear Matrix Inequality (LMI), Lyapunov stability theory and graph theory, the sufficient criteria for consensus between the nodes in the leaders' layer multi-agent system, bipartite consensus between the nodes in the followers' layer multi-agent system and node-to-node bipartite consensus between the nodes in the two-layer multi-agent systems were given. Finally, the numerical simulation examples were given, and the consensus of the two-layer multi-agent systems subjected to cyber-attack was realized, which verified the validity of the proposed criteria.