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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (12): 120506-120506.doi: 10.1088/1674-1056/19/12/120506

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

Francis Austin¹, 路晓庆², 陈士华²

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

收稿日期:2010-03-04 修回日期:2010-06-01 出版日期:2010-12-15 发布日期:2010-12-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 70571059).

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

Lu Xiao-Qing(路晓庆)^a)†ger, Francis Austin^b), and Chen Shi-Hua(陈士华)^a)

^a School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China; ^b Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China

Received:2010-03-04 Revised:2010-06-01 Online:2010-12-15 Published:2010-12-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 70571059).

摘要/Abstract

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.

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.

Key words: second-order multi-agent systems, cluster consensus, pinning control, LaSalle invariance principle

中图分类号: (Combinatorics; graph theory)

02.10.Ox

05.45.-a (Nonlinear dynamics and chaos)

路晓庆, Francis Austin, 陈士华. Cluster consensus of second-order multi-agent systems via pinning control[J]. 中国物理B, 2010, 19(12): 120506-120506.

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[J]. Chin. Phys. B, 2010, 19(12): 120506-120506.

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

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

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