The Research for Bipartite Consensus of High-Order Edge Dynamics on Multi-Agent Systems

Abstract

The relationships between agents can be cooperative and competitive in multi-agent systems, which are represented by positive weight and negative weight of edges. The rules of transforming initial digraph to its line graph are given and the information of edge dynamics are considered adequately. For the line graph, the distributed control protocol is proposed. Then, we give sufficient conditions for the third-order and high-order multi-agent system to achieve the bipartite consensus of edge dynamics under the protocol. The calculation method of final values of bipartite consensus are given.