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Linear and nonlinear generalized consensuses of multi-agent systems

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【作者】 过榴晓胡满峰胡爱花徐振源

【Author】 Guo Liu-Xiao;Hu Man-Feng;Hu Ai-Hua;Xu Zhen-Yuan;School of Science,Jiangnan University;

【机构】 School of Science,Jiangnan University

【摘要】 Consensus in directed networks of multiple agents, as an important topic, has become an active research subject.Over the past several years, some types of consensus problems have been studied. In this paper, we propose a novel type of consensus, the generalized consensus(GC), which includes the traditional consensus, the anti-consensus, and the cluster consensus as its special cases. Based on the Lyapunov’s direct method and the graph theory, a simple control algorithm is designed to achieve the generalized consensus in a network of agents. Numerical simulations of linear and nonlinear GC are used to verify the effectiveness of the theoretical analysis.

【Abstract】 Consensus in directed networks of multiple agents, as an important topic, has become an active research subject.Over the past several years, some types of consensus problems have been studied. In this paper, we propose a novel type of consensus, the generalized consensus(GC), which includes the traditional consensus, the anti-consensus, and the cluster consensus as its special cases. Based on the Lyapunov’s direct method and the graph theory, a simple control algorithm is designed to achieve the generalized consensus in a network of agents. Numerical simulations of linear and nonlinear GC are used to verify the effectiveness of the theoretical analysis.

【基金】 Project supported by the National Natural Science Foundation of China(Grant Nos.11002061 and 11202084);the Fundamental Research Funds for the Central Universities,China(Grant No.JUSRP51317B)
  • 【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2014年05期
  • 【分类号】TP18
  • 【被引频次】2
  • 【下载频次】53
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