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

Abstract

This paper 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 for 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 neighborhood. The results show that the availability of local bounds on neighborhoods plays a key role.Comment: This paper was submitted to IJRNC on Aug. 3, 2023 and resubmitted on Nov. 16, 2023. Now, it is under review at the second roun

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