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• W2963607524 abstract "In this letter, cluster consensus of discrete-time linear multi-agent systems is investigated. A set of stochastic matrices P is said to be a cluster consensus set if the system achieves cluster consensus for any initial state and any sequence of matrices taken from P. By introducing a cluster ergodicity coefficient, we present an equivalence relation between a range of characterization of cluster consensus set under some mild conditions including the widely adopted inter-cluster common influence. We obtain a combinatorial necessary and sufficient condition for a compact set P to be a cluster consensus set. This combinatorial condition is an extension of the avoiding set condition for global consensus, and can be easily checked by an elementary routine. As a byproduct, our result unveils that the cluster-spanning tree condition is not only sufficient but necessary in some sense for cluster consensus problems." @default.
• W2963607524 created "2019-07-30" @default.
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• W2963607524 date "2016-12-01" @default.
• W2963607524 modified "2023-10-10" @default.
• W2963607524 title "A combinatorial necessary and sufficient condition for cluster consensus" @default.
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• W2963607524 doi "https://doi.org/10.1016/j.neucom.2016.08.025" @default.
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