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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 |
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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.
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Received: 08 August 2012
Revised: 08 October 2012
Accepted manuscript online:
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PACS:
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05.65.+b
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(Self-organized systems)
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02.10.Yn
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(Matrix theory)
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87.10.-e
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(General theory and mathematical aspects)
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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
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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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[1] |
Jadbabaie A, Lin J and Morse A S 2003 IEEE Trans. Automatic Control 48 988
|
[2] |
Vicsek T, Cziroók A, Ben-Jacob E, Cohen O and Shochet I 1995 Phys. Rev. Lett. 75 1226
|
[3] |
Hong Y, Gao L, Cheng D and Hu J 2007 IEEE Trans. Automatic Control 52 943
|
[4] |
Hong Y, Chen G and Bushnell L 2008 Automatica 44 846
|
[5] |
Liu B, Chu T, Wang L and Xie G 2008 IEEE Trans. Automatic Control 53 1009
|
[6] |
Liu H, Xie G and Wang L 2010 Proceedings of the 49th IEEE Conference on Decision and Control 3078
|
[7] |
Zhang W, Zeng D and Guo Z 2010 Chin. Phys. B 19 070518
|
[8] |
Yang T, Jin Y, Wang W and Shi Y 2011 Chin. Phys. B 20 020512
|
[9] |
Ren W and Beard R W 2005 IEEE Trans. Automatic Control 50 655
|
[10] |
Ren W and Atkins E 2007 Inter. J. Robust Nonlinear Control 17 1002
|
[11] |
Lin P, Jia Y, Du J and Yu F 2007 Proceedings of the 26th Chinese Control Conference 577
|
[12] |
Bliman P and Ferrari-Trecate G 2008 Automatica 44 1985
|
[13] |
Tian Y and Liu C 2008 IEEE Trans. Automatic Control 53 2122
|
[14] |
Tian Y and Liu C 2009 Automatica 45 1347
|
[15] |
Liu C and Tian Y 2009 Inter. J. Syst. Sci. 40 627
|
[16] |
Lin P and Jia Y 2009 IET Control Theory and Applications 3 957
|
[17] |
Lin P and Jia Y 2009 Automatica 45 2154
|
[18] |
Sun Y, Wang L and Xie G 2008 Syst. Control Lett. 157 175
|
[19] |
Lin P, Jia Y and Li L 2008 Syst. Control Lett. 57 643
|
[20] |
Lin P and Jia Y 2010 IEEE Trans. Automatic Control 55 778
|
[21] |
Godsil C and Royle G 2001 Algebraic Graph Theory (New York: Springer-Verlag)
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