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

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arxiv 2310.02571 v4 pith:SMHM3D5K submitted 2023-10-04 eess.SY cs.SY

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

classification eess.SY cs.SY
keywords boundslocalscale-freestatesynchronizationconditionsmulti-agentneighborhoods
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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