Behaviors of matrix-weighted networks with antagonistic interactions

Suoxia Miao and Housheng Su

Applied Mathematics and Computation, 2024, vol. 467, issue C

Abstract: This essay considers the bipartite consensus of matrix-weighted second-order multi-agent systems with structurally unbalanced antagonistic interactions networks. Owing to the influence of matrix-weights, bipartite consensus and cluster bipartite consensus can also be reached, which is different from the existing works on signed networks. With the assistance of Lyapunov stability and matrix-valued Gauge transformation, a condition to achieve bipartite consensus is established. Moreover, a relatively straightforward algebraic graph condition for reaching cluster bipartite consensus is attained. Finally, simulation examples are supplied to illustrate the obtained results.

Keywords: Multi-agent systems; Matrix-weighted signed networks; Structural unbalance; Bipartite consensus; Cluster bipartite consensus (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:467:y:2024:i:c:s0096300323006598

DOI: 10.1016/j.amc.2023.128490

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