Bipartite consensus of fractional-order multi-agent systems: An event-triggered control approach

This study focuses on analyzing the bipartite consensus issue in multi-agent systems (MASs) that are described by partial differential equations (PDEs). Both leader–follower and leaderless communication topologies are considered to comprehensively address different coordination scenarios. Distributed event-triggered control strategies are employed to reduce communication and computational loads. Sufficient criteria for realizing bipartite consensus under both types of network configurations are systematically obtained through the design of suitable Lyapunov functionals and the use of coordinate transformation methods. Furthermore, it is proven that the proposed event-triggered strategies guarantee a positive minimum inter-event time, thus excluding Zeno behavior. Simulation experiments are carried out to validate the theoretical findings and illustrate the performance of the designed control strategies.