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Zbl 1222.93007
Chen, Yao; Lü, Jinhu; Han, Fengling; Yu, Xinghuo
On the cluster consensus of discrete-time multi-agent systems. (English)
[J] Syst. Control Lett. 60, No. 7, 517-523 (2011). ISSN 0167-6911

Summary: Nowadays, multi-agent systems (MAS) are ubiquitous in the real world. Consensus is a fundamental natural phenomenon. Over the past decade, consensus of MAS has received increasing attention from various disciplines. This paper aims to further investigate a novel kind of cluster consensus of MAS with several different subgroups. Based on Markov chains and nonnegative matrix analysis, two novel cluster consensus criteria are obtained for MAS with fixed and switching topology, respectively. Furthermore, numerical simulations are also given to validate the effectiveness of these proposed criteria. The proposed cluster consensus criteria have some potential applications in real world engineering systems.

MSC 2000:: *93A14 Decentralized systems
93C55 Discrete-time control systems

Keywords: multi-agent systems; cluster consensus; nonnegative matrix; Markov chain

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