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Consensus problems, as basic topics in distributed coordination of multi-agent systems, have drawn a great deal of attention from different research fields. Generally, consensus refers to the asymptotic convergence of state variables of all agents with time evolution. In this paper, a concept on partial component consensus in multi-agent system is first given, which is a weaker dynamic behavior of group than the consensus in general, and then the problem of partial component consensus in leader-following first-order multi-agent system with the directed network topology is discussed. By designing an appropriate pinning control protocol and building corresponding error system, partial component consensus in multi-agent system is transformed into the partial variable stability of the error system. Using matrix theory and stability theory, a sufficient condition is given to realize partial component consensus in multi-agent system. Numerical simulations are given to illustrate the theoretical results.
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Keywords:
- multi-agent system /
- consensus /
- partial component consensus
[1] Vicsek T, Czirok A, Ben-Jacob E, Cohen I, Shochet O 1995 Phys. Rev. Lett. 75 1226
[2] Jadbabaie A, Lin J, Morse A S 2003 IEEE Trans. Autom. Control 48 988
[3] Qu Z H, Wang J, Hull R A 2008 IEEE Trans. Autom. Control 53 894
[4] Cortes J, Bullo F 2005 SIAM J. Control Optimization 44 1543
[5] Wang N, Wu Z H, Peng L 2014 Chin. Phys. B 23 108901
[6] Fax J A, Murray R M 2004 IEEE Trans. Autom. Control 49 1465
[7] Olfati-Saber R, Murray R M 2004 IEEE Trans. Autom. Control 49 1520
[8] Guo L X, Hu M F, Hu A H, Xu Z Y 2014 Chin. Phys. B 23 050508
[9] Ji L H, Liao X F 2012 Acta Phys. Sin. 61 150202 (in Chinese) [纪良浩, 廖晓峰 2012 61 150202]
[10] Xie D S, Xie J Q, Zhao H Y 2015 Proceedings of the 34 Chinese Control Conference Hangzhou, China, July 28-30, 2015 p7529
[11] Yu W W, Chen G R, Cao M, Kurths J 2010 Automatica 46 1089
[12] Xin Y M, Li Y X, Huang X, Cheng Z S 2015 Neurocomputing 159 84
[13] Yu W W, Chen G R, Cao M 2011 IEEE Trans. Autom. Control 56 1436
[14] Zhao Y, Li B, Qin J H, Gao H J, Karimi H R 2013 IEEE Trans. Cybernet. 43 2157
[15] Saadi P T, Mardani M M, Shasadeghi M, Safarinezhadian B 2015 4th Iranian Joint Congress on Fuzzy and Intelligent Systems Zahedan, Iran, September 9-11, 2015 p1
[16] Ni W, Cheng D Z 2010 System Control Lett. 59 209
[17] Xie Y Y, Wang Y, Ma Z J 2014 Acta Phys. Sin. 63 040202 (in Chinese) [谢媛艳, 王毅, 马忠军 2014 63 040202]
[18] Xiao F, Wang L, Chen J 2010 System Control Lett. 59 775
[19] Liao X X 2001 Mathematical Theory of Stability and Its Application (Wuhan: Central China Normal University Press) pp19, 321, 336 (in Chinese) [廖晓昕 2001 稳定性的数学理论及应用 (武汉: 华中师范大学出版社) 第19, 321, 336页]
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[1] Vicsek T, Czirok A, Ben-Jacob E, Cohen I, Shochet O 1995 Phys. Rev. Lett. 75 1226
[2] Jadbabaie A, Lin J, Morse A S 2003 IEEE Trans. Autom. Control 48 988
[3] Qu Z H, Wang J, Hull R A 2008 IEEE Trans. Autom. Control 53 894
[4] Cortes J, Bullo F 2005 SIAM J. Control Optimization 44 1543
[5] Wang N, Wu Z H, Peng L 2014 Chin. Phys. B 23 108901
[6] Fax J A, Murray R M 2004 IEEE Trans. Autom. Control 49 1465
[7] Olfati-Saber R, Murray R M 2004 IEEE Trans. Autom. Control 49 1520
[8] Guo L X, Hu M F, Hu A H, Xu Z Y 2014 Chin. Phys. B 23 050508
[9] Ji L H, Liao X F 2012 Acta Phys. Sin. 61 150202 (in Chinese) [纪良浩, 廖晓峰 2012 61 150202]
[10] Xie D S, Xie J Q, Zhao H Y 2015 Proceedings of the 34 Chinese Control Conference Hangzhou, China, July 28-30, 2015 p7529
[11] Yu W W, Chen G R, Cao M, Kurths J 2010 Automatica 46 1089
[12] Xin Y M, Li Y X, Huang X, Cheng Z S 2015 Neurocomputing 159 84
[13] Yu W W, Chen G R, Cao M 2011 IEEE Trans. Autom. Control 56 1436
[14] Zhao Y, Li B, Qin J H, Gao H J, Karimi H R 2013 IEEE Trans. Cybernet. 43 2157
[15] Saadi P T, Mardani M M, Shasadeghi M, Safarinezhadian B 2015 4th Iranian Joint Congress on Fuzzy and Intelligent Systems Zahedan, Iran, September 9-11, 2015 p1
[16] Ni W, Cheng D Z 2010 System Control Lett. 59 209
[17] Xie Y Y, Wang Y, Ma Z J 2014 Acta Phys. Sin. 63 040202 (in Chinese) [谢媛艳, 王毅, 马忠军 2014 63 040202]
[18] Xiao F, Wang L, Chen J 2010 System Control Lett. 59 775
[19] Liao X X 2001 Mathematical Theory of Stability and Its Application (Wuhan: Central China Normal University Press) pp19, 321, 336 (in Chinese) [廖晓昕 2001 稳定性的数学理论及应用 (武汉: 华中师范大学出版社) 第19, 321, 336页]
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