Linear and nonlinear generalized consensuses of multi-agent systems

doi:10.1088/1674-1056/23/5/050508

中国物理B ›› 2014, Vol. 23 ›› Issue (5): 50508-050508.doi: 10.1088/1674-1056/23/5/050508

Linear and nonlinear generalized consensuses of multi-agent systems

过榴晓, 胡满峰, 胡爱花, 徐振源

School of Science, Jiangnan University, Wuxi 214122, China

收稿日期:2013-09-09 修回日期:2013-10-25 出版日期:2014-05-15 发布日期:2014-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11002061 and 11202084) and the Fundamental Research Funds for the Central Universities, China (Grant No. JUSRP51317B).

Linear and nonlinear generalized consensuses of multi-agent systems

Guo Liu-Xiao (过榴晓), Hu Man-Feng (胡满峰), Hu Ai-Hua (胡爱花), Xu Zhen-Yuan (徐振源)

School of Science, Jiangnan University, Wuxi 214122, China

Received:2013-09-09 Revised:2013-10-25 Online:2014-05-15 Published:2014-05-15
Contact: Guo Liu-Xiao E-mail:guo_liuxiao@126.com
About author:05.45.Xt
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11002061 and 11202084) and the Fundamental Research Funds for the Central Universities, China (Grant No. JUSRP51317B).

摘要/Abstract

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.

关键词: generalized consensus, multi-agent system, directed network, connection topology

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.

Key words: generalized consensus, multi-agent system, directed network, connection topology

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

过榴晓, 胡满峰, 胡爱花, 徐振源. Linear and nonlinear generalized consensuses of multi-agent systems[J]. 中国物理B, 2014, 23(5): 50508-050508.

Guo Liu-Xiao (过榴晓), Hu Man-Feng (胡满峰), Hu Ai-Hua (胡爱花), Xu Zhen-Yuan (徐振源). Linear and nonlinear generalized consensuses of multi-agent systems[J]. Chin. Phys. B, 2014, 23(5): 50508-050508.

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Linear and nonlinear generalized consensuses of multi-agent systems

Linear and nonlinear generalized consensuses of multi-agent systems

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