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

被引：15
|
作者：
Lu Xiao-Qing [1 ]
Austin, Francis [2 ]
Chen Shi-Hua [1 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
来源：
CHINESE PHYSICS B | 2010年 / 19卷 / 12期
基金：
中国国家自然科学基金;
关键词：
second-order multi-agent systems; cluster consensus; pinning control; LaSalle invariance principle; COORDINATION; LEADER;
D O I：
10.1088/1674-1056/19/12/120506
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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收藏
页数：7
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