Network‐to‐network bipartite consensus under event‐triggered control over heterogeneous topologies

Abstract

This article investigates the event-triggered control scheme for network-tonetwork consensus problem over heterogeneous topologies. The cooperativecompetitive interactions among agents are considered. A distributed event-triggered control mechanism for the multi-agent system is proposed without requiring continuous inter-neighboring communications. Time-dependent triggering conditions are presented. By using Lyapunov stability theory, the matrix, and the algebraic graph theory, bipartite consensus is proved, and Zeno behavior is excluded. Finally, simulations are provided to prove the effectiveness of the obtained results.