Impulsive mean-square bounded consensus for multi-agent systems under hybrid attacks

This article investigates the mean-square bounded consensus problem for nonlinear multi-agent systems under hybrid attacks composed of deception attacks and denial-of-service attacks. The network consists of a leader and several followers. The attacks can disrupt network connections and inject false data. Using an impulsive control approach, the mean-square bounded consensus is analyzed. Meanwhile, the upper bound of error is also calculated. Based on the knowledge of the Lyapunov stability theory, graph theory, and linear matrix inequalities, sufficient conditions for the mean-square bounded consensus of multi-agent systems are obtained. Finally, the feasibility and validity of the theoretical results are verified by the provided numerical simulations.