Event-Triggered Bipartite Consensus of Linear Multiagent Systems Under DoS Attacks

This paper investigates the bipartite consensus problem for linear multi-agent systems (MASs) with cooperative and competitive interactions under denial-of-service (DoS) attacks. Considering the communication among agents could be jammed by DoS attacks irregularly, a novel resilient control protocol with a switching feedback gain is first developed for the structurally balanced topology, so that all agents will switch to the secure control mode when the system is attacked by DoS attacks. In order to reduce the energy consumption of the system and avoid continuous communication among agents, an event-triggered scheme based on the state estimator is also introduced in the protocol design, where the Zeno behavior is excluded naturally by setting a strictly positive minimum event-interval. Based on the developed event-triggered resilient control protocol, sufficient conditions on the frequency and duration of DoS attacks are established to ensure the realization of bipartite consensus for the MASs. Furthermore, the event-triggered resilient control protocol is extended for agents to achieve bipartite consensus under the structurally unbalanced topology by introducing a pinning control strategy. Finally, two numerical simulations are provided to verify the effectiveness of the theoretical analysis.