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Chin. Phys. B, 2013, Vol. 22(5): 050511    DOI: 10.1088/1674-1056/22/5/050511
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Consensus of second-order multi-agent systems with nonuniform time delays

Zhang Wen-Guang (张文广)a b, Liu Ji-Zhen (刘吉臻)a, Zeng De-Liang (曾德良)a, Hu Yong (胡勇)b
a State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China;
b School of Control & Computer Engineering, North China Electric Power University, Beijing 102206, China
Abstract  In this study, the consensus problem for a class of second-order multi-agent systems with nonuniform time delays is investigated. A linear consensus protocol is used to make all agents reach consensus and move with a constant velocity. By a frequency-domain analysis, a simplified sufficient condition is given to guarantee the consensus stability of the dynamic system. Finally, the effectiveness of the obtained theoretical results is illustrated through numerical simulations.
Keywords:  consensus      nonuniform time delay      multi-agent system      constant velocity  
Received:  08 August 2012      Revised:  08 October 2012      Accepted manuscript online: 
PACS:  05.65.+b (Self-organized systems)  
  02.10.Yn (Matrix theory)  
  87.10.-e (General theory and mathematical aspects)  
Fund: Project supported by the National Basic Research Program of China (Grant No. 2012CB215203), the Key Program of the National Natural Science Foundation of China (Grant No. 51036002), and the Fundamental Research Funds for the Central Universities of China (Grant No. JB2012008).
Corresponding Authors:  Zhang Wen-Guang     E-mail:  zwgbuaa@126.com

Cite this article: 

Zhang Wen-Guang (张文广), Liu Ji-Zhen (刘吉臻), Zeng De-Liang (曾德良), Hu Yong (胡勇) Consensus of second-order multi-agent systems with nonuniform time delays 2013 Chin. Phys. B 22 050511

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