%0 Journal Article %T Cluster consensus of second-order multi-agent systems via pinning control
%A Lu Xiao-Qing %A Francis Austin %A Chen Shi-Hua %A
%J 中国物理 B %D 2010 %I %X 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. %K second-order multi-agent systems %K cluster consensus %K pinning control %K LaSalle invariance principle
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=9742574195F1C9146938E4327A49F67A&yid=140ECF96957D60B2&vid=2A8D03AD8076A2E3&iid=59906B3B2830C2C5&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=24