中国物理B ›› 2010, Vol. 19 ›› Issue (12): 120506-120506.doi: 10.1088/1674-1056/19/12/120506
Francis Austin1, 路晓庆2, 陈士华2
Lu Xiao-Qing(路晓庆)a)†ger, Francis Austin b), and Chen Shi-Hua(陈士华)a)
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.
中图分类号: (Combinatorics; graph theory)