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Chin. Phys. B, 2019, Vol. 28(5): 050501    DOI: 10.1088/1674-1056/28/5/050501
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Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control

Xiao-Fen Qiu(邱小芬), Yin-Xing Zhang(张银星), Ke-Zan Li(李科赞)
School of Mathematics and Computing Science, Guangxi Key Laboratory of Cryptography and Information Security, Guilin University of Electronic Technology, Guilin 541004, China
Abstract  We introduce a new consensus pattern, named a successive lag cluster consensus (SLCC), which is a generalized pattern of successive lag consensus (SLC). By applying delay-dependent impulsive control, the SLCC of first-order and second-order multi-agent systems is discussed. Furthermore, based on graph theory and stability theory, some sufficient conditions for the stability of SLCC on multi-agent systems are obtained. Finally, several numerical examples are given to verify the correctness of our theoretical results.
Keywords:  successive lag cluster consensus      impulsive control      multi-agent systems  
Received:  01 December 2018      Revised:  29 January 2019      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  89.75.-k (Complex systems)  
  02.30.Yy (Control theory)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61663006 and 11661026), the Guangxi Natural Science Foundation Program, China (Grant No. 2015GXNSFBB139002), the Guangxi Key Laboratory of Cryptography and Information Security, China (Grant No. GCIS201612), and the Innovation Project of GUET Graduate Education, China (Grant No. 2018YJCX57).
Corresponding Authors:  Ke-Zan Li     E-mail:

Cite this article: 

Xiao-Fen Qiu(邱小芬), Yin-Xing Zhang(张银星), Ke-Zan Li(李科赞) Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control 2019 Chin. Phys. B 28 050501

[1] Paranjape A A, Chung A J, Kim K and Shim D H 2018 IEEE Trans. Robot. 34 901
[2] Desai J P, Ostrowski J P and Kumar V 2011 IEEE Trans. Robot. Automat. 17 905
[3] Wu Z W, Sun J S and Wang X M 2018 Chin. Phys. B 27 060202
[4] Schnitzler A and Gross J 2005 Nat. Rev. Neurosci. 5 285
[5] Kiselev V Y, Kirschner K, Schaub M T, Andrews T, Yiu A, Chandra T, Natarajan K N, Reik W, Barahona M, Green A R and Hemberg M 2017 Nat. Methods 14 483
[6] Vicsek T, Czirók A, Jacob E B, Cohen I and Shocher O 1995 Phys. Rev. Lett. 75 1226
[7] Jadbabaie A, Lin J and Morse A S 2003 IEEE Trans. Autom. control 48 988
[8] Ren W and Beard R W 2005 IEEE Trans. Autom. control 50 655
[9] Olfatisaber R, Fax J A and Murray R M 2007 Proc. IEEE 95 215
[10] Hu J P and Hong Y G 2007 Physica A 374 853
[11] Xiao F, Wang L, Chen J and Gao Y P 2009 Automatica 45 2605
[12] Feng J W, Yu F F and Zhao Y 2016 Nonlinear Dyn 85 621
[13] Mo L P, Guo S Y and Yu Y G 2018 Chin. Phys. B 27 070504
[14] Wang Y and Ma Z J 2016 Neurocomputing 171 82
[15] Wang Y, Ma Z J, Zheng S and Chen G R 2017 IEEE Trans. Cybern. 47 2203
[16] Li K Z, Yu W W and Ding Y 2015 Nonlinear Dyn. 80 421
[17] Qin J H and Yu C B 2013 Automatica 48 2898
[18] Qin J H, Ma Q C, Zheng W X, Gao H J and Kang Y 2017 IEEE Trans. Autom. control 62 3559
[19] Qin J H, Ma Q C, Gao H J, Shi Y and Kang Y 2017 EEE Trans. Cybern. 47 4122
[20] Wang Y, Ma Z J and Chen G R 2018 J. Frankl. Inst. 355 7335
[21] Wang Y, Li Y X, Ma Z J, Cai G Y and Chen G R 2018 IEEE Trans. Syst. Man Cybern. Syst.
[22] Lu J Q, Daniel W C H and Cao J D 2012 Automatica 46 1215
[23] Wu J S and Jiao L C 2008 Automatica 387 2111
[24] Boyd S, Ghaoui L E, Feron E and Balakrishnan V 1994 Linear Matrix Inequalities In System And Control Theory (Philadelphia PA: SIAM)
[25] Zhang X J, Wei A J and Li K Z 2016 Chin. Phys. B 25 038901
[26] Zhang D, Zhang Y X, Qiu X F, Zhu G H and Li K Z 2018 Acta Phys. Sin. 67 018901 (in Chinese)
[27] Zhang Y X and Li K Z 2019 Nonlinear Dyn.
[28] Yu W W, Chen G R and Cao M 2010 Automatica 46 1089
[29] Guan Z H, Liu Z W, Feng G and Jian M 2012 Automatica 48 1397
[30] Wu W and Chen T P 2009 Physica D 238 355
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