Cluster consensus of second-order multi-agent systems via pinning control

doi:10.1088/1674-1056/19/12/120506

Abstract This paper investigates the cluster consensus problem for second-order multi-agent systems by applying the pinning control method to a small collection of the agents. Consensus is attained independently for different agent clusters according to the community structure generated by the group partition of the underlying graph and sufficient conditions for both cluster and general consensus are obtained by using results from algebraic graph theory and the LaSalle Invariance Principle. Finally, some simple simulations are presented to illustrate the technique.

Keywords: second-order multi-agent systems cluster consensus pinning control LaSalle invariance principle

Received: 04 March 2010
Revised: 01 June 2010
Accepted manuscript online:

PACS:	02.10.Ox	(Combinatorics; graph theory)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 70571059).

Cite this article:

Lu Xiao-Qing(路晓庆), Francis Austin, and Chen Shi-Hua(陈士华) Cluster consensus of second-order multi-agent systems via pinning control 2010 Chin. Phys. B 19 120506

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