Cluster Consensus of Nonlinearly Coupled Multi-Agent Systems in Directed Graphs

doi:10.1088/0256-307X/27/5/050503

Chin. Phys. Lett.

2010, Vol. 27

Issue (5): 050503 DOI: 10.1088/0256-307X/27/5/050503

GENERAL

Cluster Consensus of Nonlinearly Coupled Multi-Agent Systems in Directed Graphs

LU Xiao-Qing¹, Francis Austin², CHEN Shi-Hua¹

¹School of Mathematics and Statistics, Wuhan University, Wuhan 430072 ² Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong

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LU Xiao-Qing, Francis Austin, CHEN Shi-Hua 2010 Chin. Phys. Lett. 27 050503

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Abstract We investigate the cluster consensus problem in directed networks of nonlinearly coupled multi-agent systems by using pinning control. Depending on the community structure generated by the group partition of the underlying digraph, various clusters can be made coherently independent by applying feedback injections to a fraction of the agents. Sufficient conditions for cluster consensus are obtained using algebraic graph theory and matrix theory and some simulations results are included to illustrate the method.

Keywords: 05.45.Xt 05.45.Gg

Received: 12 January 2010 Published: 23 April 2010

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/5/050503 OR https://cpl.iphy.ac.cn/Y2010/V27/I5/050503

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	LU Xiao-Qing
	Francis Austin
	CHEN Shi-Hua

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