High-Order Distributed Consensus in Multi-Agent Networks

We deal with high-order distributed consensus protocols in multi agent networks. It is shown that the inner coupling strengths play a key role in reaching consensus for high-order systems. Scheme for choosing coupling strengths is derived for the third-order consensus and the fourth-order consensus. We found that high-order consensus can not be achieved even if inner coupling strengths are very large when they are selected incorrectly. The high-order consensus of complex networks are particularly targeted. This result helps investigate large scale multi-agent networks.