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Higher-Order Cluster Consensus in Continuous-Time Networks

   Develer, Umit; Akar, Mehmet

In this paper, we investigate the agreement of multi-agent systems with higher-order continuous-time dynamics. We state the conditions which guarantee cluster consensus for systems evolving over any given directed graph where the clusters are not pre-determined. The number of clusters and the stability properties of the multi-agent system are analyzed based on primary and secondary layer subgraph concepts. Theoretical results are illustrated via several simulations.

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