Bipartite synchronization of multi-agent systems under deception attacks via pinning delayed-impulsive control

This article aims to investigate the bipartite synchronization problem of multi-agent systems (MASs) under deception attacks. A pinning delayed-impulsive control scheme is proposed to solve the synchronization of MASs under deception attacks that modify the transmitted data information and destroy the data integrity. The time delay can have a gain effect on the stability of the system by using time delay utilization technology. By selecting the appropriate time delay parameters, the convergence speed of the system is effectively improved. Furthermore, cooperative and competitive interactions between agents are considered. Sufficient conditions of the bipartite mean-square bounded synchronization of MASs under deception attacks are theoretically obtained. Finally, the designed numerical simulations illustrate the correctness and effectiveness of our results.