Brief paper: Reaching a consensus via pinning control

Authors:
Fei Chen;Zengqiang Chen;Linying Xiang;Zhongxin Liu;Zhuzhi Yuan
Affiliations:
Department of Automation, Nankai University, Tianjin 300071, PR China;Department of Automation, Nankai University, Tianjin 300071, PR China;Department of Automation, Nankai University, Tianjin 300071, PR China and Department of Media and Communication, City University of Hong Kong, Kowloon, Hong Kong;Department of Automation, Nankai University, Tianjin 300071, PR China;Department of Automation, Nankai University, Tianjin 300071, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

The consensus problem in a multi-agent system with general nonlinear coupling is investigated in this paper. It is demonstrated that, under suitable conditions on communication, all agents approach a prescribed value if a small fraction of them are controlled by simple feedback control. The stability analysis is based on a blend of graph-theoretic and system-theoretic tools where the contraction analysis and multiple Lyapunov functions play central roles. Numerous numerical examples, which support the analytical results very well, are also included.