Cluster consensus of high-order multi-agent systems with switching topologies

Bo Hou, Fuchun Sun, Hongbo Li, Yao Chen and Jianxiang Xi

International Journal of Systems Science, 2016, vol. 47, issue 12, 2859-2868

Abstract: This paper investigates the cluster consensus problems of generic linear multi-agent systems with switching topologies. Sufficient criteria for cluster consensus, which generalise the results in existing literatures, are derived for both state feedback and observer-based control schemes. By using an averaging method, it is shown that cluster consensus can be achieved when the union of the acyclic topologies contains a directed spanning tree within each cluster frequently enough. We also provide a principle to construct digraphs with inter-cluster cyclic couplings that promote cluster consensus regardless of the magnitude of inter-agent coupling weights. Finally, numerical examples are given to demonstrate the effectiveness of the proposed approaches.

Date: 2016
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DOI: 10.1080/00207721.2015.1034302

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