Consensus in Second-Order MAS with Different and Multiple Coupling Weights

In this paper, several sufficient conditions for the consensus of second-order multi-agent systems (SOMAS) are investigated. Compared with previous works, we consider the more general case that the coupling matrix of velocity is different from the coupling matrix of position. We propose the same eigenvector condition to solve this new question. Furthermore, as the research on multi-weight networks becomes more and more popular, this paper also investigates related sufficient conditions for SOMAS with multiple weights by relying on the means of our rearranging variables’ order technique, which can successfully transform multi-weighted networks to single-weighted networks. Finally, three numerical examples are provided to support our result.