This study addresses the resilient finite-time distributed event-triggered (ET) consensus control of multi-agent systems (MASs) with multiple cyber-attacks, such as replay, deception, and denial-of-service (DoS) attacks. For the first attempt, a model is proposed for multiple cyber-attacks on MASs under DoS, deception, and replay attacks, that occur stochastically in a unified framework. Furthermore, an appropriate distributed ET consensus control mechanism is proposed to handle the unwanted traffic in the network communication channel. This scheme determines whether or not the signal can be transmitted to each agent in MASs. Sufficient conditions for the consensus of MASs are derived using Lyapunov stability theory and linear matrix inequalities (LMIs), which ensure the exponentially mean-square finite-time stability. On the basis of the obtained conditions, the explicit expressions of the consensus control gain matrix and trigger parameter matrices are given. Eventually, simulation results are provided to verify the proposed theoretical results.

本研究解决了具有多重网络攻击（例如重放、欺骗和拒绝服务 (DoS) 攻击）的多代理系统 (MAS) 的弹性有限时间分布式事件触发 (ET) 共识控制。对于第一次尝试，提出了一个模型，用于在统一框架中随机发生的 DoS、欺骗和重放攻击下对 MAS 的多次网络攻击。此外，提出了一种适当的分布式 ET 共识控制机制来处理网络通信通道中不需要的流量。该方案确定信号是否可以传输到 MAS 中的每个代理。使用 Lyapunov 稳定性理论和线性矩阵不等式 (LMI) 推导出 MAS 一致的充分条件，这确保了指数均方有限时间稳定性。在得到条件的基础上，给出了共识控制增益矩阵和触发参数矩阵的显式表达式。最后，提供了仿真结果来验证所提出的理论结果。