Linear and nonlinear generalized consensuses of multi-agent systems

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

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.

Keywords: generalized consensus multi-agent system directed network connection topology

Received: 09 September 2013
Revised: 25 October 2013
Accepted manuscript online:

PACS:

05.45.Xt

(Synchronization; coupled oscillators)

Fund: 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).

Corresponding Authors: Guo Liu-Xiao
E-mail: guo_liuxiao@126.com

About author: 05.45.Xt

Cite this article:

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 2014 Chin. Phys. B 23 050508

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