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Chin. Phys. B, 2014, Vol. 23(11): 110205    DOI: 10.1088/1674-1056/23/11/110205
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Leaderless and leader-following consensus of linear multi-agent systems

Zhang Xiao-Jiao (张晓娇)a, Cui Bao-Tong (崔宝同)b, Lou Ke (娄柯)c
a School of Computer Science and Control Engineering, North University of China, Taiyuan 030051, China;
b Key Laboratory of Advanced Process Control for Light Industry of Ministry of Education, Jiangnan University, Wuxi 214122, China;
c College of Electrical Engineering, Anhui Polytechnic University, Wuhu 241000, China
Abstract  This paper studies the consensus problems for multi-agent systems with general linear and nonlinear dynamics. The leaderless and leader-following consensus problems are investigated respectively. Contraction theory is employed to generate some sufficient conditions for testing the agents reaching consensus. Under these conditions and certain assumptions, the trajectories of multi-agent systems in directed topology will converge to each other. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.
Keywords:  linear multi-agent systems      contraction theory      virtual system      partial contraction  
Received:  24 November 2013      Revised:  28 May 2014      Accepted manuscript online: 
PACS:  02.30.Yy (Control theory)  
  05.45.Xt (Synchronization; coupled oscillators)  
  89.75.Fb (Structures and organization in complex systems)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61473136 and 61174021), the Fundamental Research Funds for the Central Universities of China (Grant No. JUSRP51322B), and the 111 Project (Grant No. B12018).
Corresponding Authors:  Zhang Xiao-Jiao     E-mail:  xiaojiao-abc@hotmail.com

Cite this article: 

Zhang Xiao-Jiao (张晓娇), Cui Bao-Tong (崔宝同), Lou Ke (娄柯) Leaderless and leader-following consensus of linear multi-agent systems 2014 Chin. Phys. B 23 110205

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