Consensus of synchronization-preferential scale-free networks

In this paper, the relations of the scale-free network topology and the moving consensus of multi-agent systems are studied. A synchronization-preferential BA (SPBA) network with the combinatorial preferential attachment is presented for the prestissimo consensus. The effects of the SPBA network on the algebraic connectivity of the topology graph are compared with the standard BA network. The robustness gain to delay is analyzed for variable network topologies with the same size. The characteristics of dramatic increase for the algebraic connectivity and slightly increase for the robustness gain to delay are unfolded in SPBA network. By comparing the convergence time of the different network structures, the consensuses are studied for multiagent systems with and without communication delays.