The Edge Dynamic Consistency Analysis Of The Multi-agent System

Multi-agent systems have been the research hotspot in recent years.The consensus of the systems is a main research direction of Multi-agent systems,and the edge dynamics of multi-agent systems is a new research direction emerged in recent years.Therefore,this paper mainly studies the problem of edge consensus through the connection and influence between edges in the system.The main contents and contributions of this article are as follows:First,the corresponding graphs of the systems are converted into line graphs.Then the general first-order,second-order and high-order edge dynamic multi-agent system models are introduced and defined on the line graph,and the heterogeneous edge dynamics multiagent system models are also given.The system models are given for the study of the edge dynamic consensus problems.Then,according to the general edge dynamic multi-agent system models,the control protocols are designed according to different orders.Through the distribution characteristics of the matrix eigenvalues,the consensus conditions of the first-order system and the second-order system with the control protocol are analyzed.And the estimated value of the consensus is given.Besides,the conditions of achieving the bipartite consensus of the higher-order system and the order of the consensus value are discussed.Some simulations have been to prove the verification of the conclusion.Finally,according to the consensus protocols of the heterogeneous edge dynamic multi-agent systems,the matrix form of the heterogeneous system is derived through the indirect state designed.Then the heterogeneous edge dynamic consensus problem is transformed into first-order system on the new graph.According to the characteristics of the new graph,the conditions for consensus of heterogeneous systems of different orders are given.The consensus value is discussed.The simulation results are also given.This paper analyzes the consensus conditions of heterogeneous edge dynamic multiagent system.The strongly connected graph can ensure its consensus.Compared with the general edge dynamic multi-agent system consensus,the conditions are relatively simple.