The role of local bounds on neighborhoods in the network for scale‐free state synchronization of multi‐agent systems

Abstract

This article provides necessary and sufficient conditions for the existence of solutions to the state synchronization problem of homogeneous multi‐agent systems (MAS) via scale‐free linear dynamic non‐collaborative protocol in both continuous and discrete time. These conditions guarantee for which class of MAS, one can achieve scale‐free state synchronization. We investigate protocol design with and without utilizing local bounds on the neighborhood of agents. The results shows that the availability of local bounds on neighborhoods plays a key role.