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Average consensus of multi-agent systems with communication time delays and noisy links |
Sun Yong-Zheng (孙永征)a b, Li Wang (李望)a, Ruan Jiong (阮炯)b |
a School of Sciences, China University of Mining and Technology, Xuzhou 221008, China; b School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
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Abstract In this paper, we consider the average-consensus problem with communication time delays and noisy links. We analyze two different cases of coupling topologies: fixed and switching topologies. By utilizing the stability theory of the stochastic differential equations, we analytically show that the average consensus could be achieved almost surely with the perturbation of noise and the communication time delays even if the time delay is time-varying. The theoretical results show that the multi-agent systems can tolerate relatively large time delays if the noise is weak, and it can tolerate relatively strong noise if the time delays are low. The simulation results show that systems with strong noise intensities yield slow convergence.
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Received: 27 June 2012
Revised: 13 September 2012
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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05.40.Ca
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(Noise)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61203304, 61203055, and 11226150) and the Fundamental Research Funds for the Central Universities, China (Grant Nos. 2011QNA26, 2010LKSX04, and 2010LKSX09). |
Corresponding Authors:
Sun Yong-Zheng
E-mail: yzsung@gmail.com
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Cite this article:
Sun Yong-Zheng (孙永征), Li Wang (李望), Ruan Jiong (阮炯) Average consensus of multi-agent systems with communication time delays and noisy links 2013 Chin. Phys. B 22 030510
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[1] |
Vicsek T, Czirok A, Jacob E B, Cohen I and Schochet O 1995 Phys. Rev. Lett. 75 1226
|
[2] |
Jadbabaie A, Lin J and Morse A S 2003 IEEE Trans. Automat. Control 48 988
|
[3] |
Fax J A and Murray R M 2004 IEEE Trans. Automat. Control 49 1465
|
[4] |
Olfati-Saber R and Murray R M 2004 IEEE Trans. Automat. Control 49 1520
|
[5] |
Ren W and Beard R W 2005 IEEE Trans. Automat. Control 50 655
|
[6] |
Moreau L 2005 IEEE Trans. Automat. Control 50 169
|
[7] |
Bauso D, Giarré L and Pesenti R 2006 Sys. Control Lett. 55 918
|
[8] |
Salehi A T and Jadbabaie A 2008 IEEE Trans. Automat. Control 53 791
|
[9] |
Sun F L, Guan Z H, Zhan X S and Yuan F S 2012 Nonlinear Analysis: Real World Applications 13 1979
|
[10] |
Wang L and Xiao F 2010 IEEE Trans. Auto. Control 55 950
|
[11] |
Song H Y, Yu L, Hu H X and Zhang W A 2012 Chin. Phys. B 21 028901
|
[12] |
Yu W W, Chen G R and Cao M 2010 Automatica 46 1089
|
[13] |
Zhang W G, Zeng D L and Guo Z K 2010 Chin. Phys. B 19 070518
|
[14] |
Guan Z H, Liu Z W, Feng G and Jian M 2012 Automatica 48 1397
|
[15] |
Hong Y G, Chen G and Bushnell L 2008 Automatica 44 846
|
[16] |
Zhang Y and Tian Y P 2010 Int. J. Control 83 2368
|
[17] |
Sun W and Dou L H 2010 Chin. Phys. B 19 120513
|
[18] |
Li J Z 2011 Chin. Phys. B 20 020512
|
[19] |
Yan J, Guan X P and Luo X Y 2011 Chin. Phys. B 20 048901
|
[20] |
Guan Z H, Meng C, Liao R Q and Zhang D X 2012 Phys. Lett. A 376 387
|
[21] |
Zhao Y, Duan Z S, Wen G H and Chen G R 2012 Int. J. Control 85 332
|
[22] |
Hu J P and Hong Y G 2007 Physica A 374 853
|
[23] |
Sun Y G, Wang L and Xie G 2008 Sys. Control Lett. 57 175
|
[24] |
Xiao F and Wang L 2008 IEEE Trans. Automat. Control 53 1804
|
[25] |
Lin P and Jia Y 2008 Physica A 387 303
|
[26] |
Yang T, Jin Y H, Wang W and Shi Y J 2011 Chin. Phys. B 20 020511
|
[27] |
Lu J, Ho D W C and Kurths J 2009 Phys. Rev. E 80 066121
|
[28] |
Wu Z H and Fang H J 2012 International Journal of System Science 43 140
|
[29] |
Huang M and Manton J H 2009 SIAM Journal of Control and Optimization 48 134
|
[30] |
Huang M and Manton J H 2010 IEEE Trans. Automat. Control 55 235
|
[31] |
Li T and Zhang J 2009 Automatica 45 1929
|
[32] |
Sun Y G 2012 Abstract and Applied Analysis 2012 621060
|
[33] |
Sun Y and Ruan J 2008 Chin. Phys. B 17 4137
|
[34] |
Sun Y, Zhao D and Ruan J 2010 Physica A 389 4149
|
[35] |
Horn R A and Johnson C R 1985 Matrix Analysis (New York: Cambridge University)
|
[36] |
Mao X 1997 Stochastic Differential Equations and Applications (London: Horwood)
|
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