Research On Distributed Average Consensus Of Complex Networks

With the rapid development of the global information technology and the advanceof the network information technology, mankind has entered the internet age. Peopleneed to have a more indepth and comprehensive understanding of the complex networks.Researchs of the complex networks are focused on its topology structure, dynamic be-havior and evolution mechanism. As a frontier research in the field of complex networks,multi-agent system has received attentions of many scholars. As an important researchsubject of multi-agent system, multi-agent distributed coordinated control has a widerange of applications, such as the unmanned aerial vehicle (UVA) coordinated controland multiple sensor fusion etc. In this paper, we studied the average consistency of the multi-agent distributedmodel. We established a new model through analyzing the consensus problems theoreti-cally for networks of dynamic agents with fixed topology in discrete time model. In thismodel we do not only consider the relationship of the individual state in the system witha previous moment around individual state, and we also take into account the relation-ship with surrounding individual state at any previous moment. In this paper, we analyzethe distributed model with time-delay efects through matrix theory. When the weightmatrix is irreducible matrix in the system, its second largest eigenvalue is smaller thanone, and the system is able to reach the global average consensus eventually. System evo-lution is related to the second largest eigenvalue of the weight matrix and the couplingmatrix. Subsequently, we made some numerical simulation and the conclusion is verified.We conjecture that the system could eventually reach local average agreement, and thenumerical simulation verified that. Finally, we made a conclusion, and pointed out somefurther research directions on the distributed protocol.