Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays

摘要

This paper investigates the consensus problem in networks of agents with antagonistic interactions and communication delays. For undirected signed networks, we respectively establish two dynamic models corresponding to linear and nonlinear coupling. Based on Lyapunov stability theory and some other mathematical analysis, it is proved that all agents on signed networks can reach agreement on a consensus value except for the sign. Further, a bipartite consensus solution is given for linear coupling networks, and an explicit expression associating with bipartite consensus solution is provided for nonlinear coupling networks. Finally, numerical simulations are given to demonstrate the effectiveness of our theoretical results.