On Consensus Index of Triplex Star-like Networks: A Graph Spectra Approach

In this article, the consensus-related performances of triplex multi-agent systems with star-related structures, which can be measured by algebraic connectivity and network coherence, have been studied characterization Laplacian spectra. Some notions graph operations are introduced to construct several networks star substructures. The methods spectra applied derive some asymptotic behaviors indices derived. It is found that adhering topologies will make first-order coherence increase a constant value under structures as parameters tend infinity, second-order equality relations node related infinity. Finally, consensus same number nodes but non-isomorphic compared simulated verify results.