Abstract

The bipartite tracking consensus problem with distributed dynamic event-triggered control for linear multi-agent systems is studied in this article under the cooperation-competition network. The network is structurally balanced and connected, which means that the entire network could be divided into two subnetworks, with cooperation internally and competition externally. To achieve bipartite tracking consensus, a distributed dynamic event-triggered control method is designed, where the state feedback control law is based on its own latest observations and the relative information of neighboring agents. The introduction of trigger mechanism enhances the efficient utilization of communication and computation resources. With the help of tools from Lyapunov stability theory and graph theory, all agents can reach bipartite tracking consensus with an exponential convergence rate. Then, it is proved that, with the dynamic event-triggering scheme, no agent exhibits Zeno behavior. Finally, a numerical example is delivered to demonstrate the effectiveness of the theoretical analysis.

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