Hybrid-triggered consensus for multi-agent systems with time-delays, uncertain switching topologies, and stochastic cyber-attacks

doi:10.1088/1674-1056/ab38a8

中国物理B ›› 2019, Vol. 28 ›› Issue (9): 90701-090701.doi: 10.1088/1674-1056/ab38a8

Hybrid-triggered consensus for multi-agent systems with time-delays, uncertain switching topologies, and stochastic cyber-attacks

Xia Chen(陈侠), Li-Yuan Yin(尹立远), Yong-Tai Liu(刘永泰), Hao Liu(刘皓)

School of Automation, Shenyang Aerospace University, Shenyang 110136, China

收稿日期:2019-04-07 修回日期:2019-06-09 出版日期:2019-09-05 发布日期:2019-09-05
通讯作者: Li-Yuan Yin E-mail:2992868494@qq.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61074159 and 61703286).

Hybrid-triggered consensus for multi-agent systems with time-delays, uncertain switching topologies, and stochastic cyber-attacks

Xia Chen(陈侠), Li-Yuan Yin(尹立远), Yong-Tai Liu(刘永泰), Hao Liu(刘皓)

School of Automation, Shenyang Aerospace University, Shenyang 110136, China

Received:2019-04-07 Revised:2019-06-09 Online:2019-09-05 Published:2019-09-05
Contact: Li-Yuan Yin E-mail:2992868494@qq.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61074159 and 61703286).

摘要/Abstract

摘要：

We propose a new approach to discuss the consensus problem of multi-agent systems with time-varying delayed control inputs, switching topologies, and stochastic cyber-attacks under hybrid-triggered mechanism. A Bernoulli variable is used to describe the hybrid-triggered scheme, which is introduced to alleviate the burden of the network. The mathematical model of the closed-loop control system is established by taking the influences of time-varying delayed control inputs, switching topologies, and stochastic cyber-attacks into account under the hybrid-triggered scheme. A theorem as the main result is given to make the system consistent based on the theory of Lyapunov stability and linear matrix inequality. Markov jumps with uncertain rates of transitions are applied to describe the switch of topologies. Finally, a simulation example demonstrates the feasibility of the theory in this paper.

关键词: hybrid-triggered consensus, multi-agent system, time-delay and cyber-attacks, switching topologies

Abstract:

Key words: hybrid-triggered consensus, multi-agent system, time-delay and cyber-attacks, switching topologies

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

02.30.Yy (Control theory) 89.75.-k (Complex systems) 05.10.-a (Computational methods in statistical physics and nonlinear dynamics)

陈侠, 尹立远, 刘永泰, 刘皓. Hybrid-triggered consensus for multi-agent systems with time-delays, uncertain switching topologies, and stochastic cyber-attacks[J]. 中国物理B, 2019, 28(9): 90701-090701.

Xia Chen(陈侠), Li-Yuan Yin(尹立远), Yong-Tai Liu(刘永泰), Hao Liu(刘皓). Hybrid-triggered consensus for multi-agent systems with time-delays, uncertain switching topologies, and stochastic cyber-attacks[J]. Chin. Phys. B, 2019, 28(9): 90701-090701.

参考文献 47

[42]	Mozelli L A, Palhares R M and Mendes E M A M 2010 IET Control Theory A 4 2813 doi: 10.1049/iet-cta.2009.0210
[1]	Arbanas B, Ivanovic A, Car M, Orsag M, Petrovic T and Bogdan S 2018 Auton Robot 42 1601 doi: 10.1007/s10514-018-9712-y
[43]	Souza F O, Palhares R M and Barbosa K A 2008 IET Control Theory A 2 1033 doi: 10.1049/iet-cta:20070343
[2]	Beard R W, Mclain T W, Nelson D B, Kingston D and Johansonet D 2006 Proceedings of the IEEE 94 1306 doi: 10.1109/JPROC.2006.876930
[44]	Michael N, Schwager M, Kumar V and Rus D 2014 Cardiologia 39 631
[3]	Wang J H, Xu Y L, Zhang J and Yang D D 2018 Chin. Phys. B 27 040504 doi: 10.1088/1674-1056/27/4/040504
[45]	Schwager M, Michael N, Kumar V and Rus D 2011 IEEE International Conference on Robotics & Automation, May 9-13, 2011, Shanghai, China, p. 3855 doi: International Conference on Robotics
[4]	Luo X Y, Han N N and Guan X P 2010 Chin. Phys. B 19 100202 doi: 10.1088/1674-1056/19/10/100202
[46]	Chen P, Qing L H, and Dong Y 2013 IEEE T. Fuzzy. Syst. 21 164 doi: 10.1109/TFUZZ.2012.2199994
[5]	Cao J F, Ling Z H, Yuan Y F and Gao C 2014 Chin. Phys. B 23 070509 doi: 10.1088/1674-1056/23/7/070509
[47]	Tian E, Yue D and Gu Z 2010 Fuzzy Set Syst. 161 2731 doi: 10.1016/j.fss.2010.03.008
[6]	Bin B W, Zhong J M and Yi W 2017 Acta Phys. Sin. 66 060201(in Chinese)
[7]	Yu Z Y, Jiang H J, Hu C and Yu J 2017 IEEE T. Cybernetics 47 1892 doi: 10.1109/TCYB.2017.2681718
[8]	Miao G Y, Xu S Y, Zhang B Y and Zou Y 2014 IMA J. Math. Control. I 31 151 doi: 10.1093/imamci/dns036
[9]	Wu X T, Tang Y, Cao J D and Zhang W B 2016 IEEE T. Cybernetics 46 1817 doi: 10.1109/TCYB.2015.2453346
[10]	Li Y L, Li H T, Ding X Y and Zhao G D 2019 IEEE T. Cybernetics 49 3203 doi: 10.1109/TCYB.2018.2839892
[11]	Liu C J and Liu G P 2018 J. Franklin I 355 4198 doi: 10.1016/j.jfranklin.2018.04.003
[12]	Heitor J S, Carlos R P dos S, Fernando O S, Luciano C A P, Maurício D O and Reinaldo M P 2016 IEEE T. Ind. Electron. 63 1258 doi: 10.1109/TIE.2015.2504043
[13]	Fang M, Zhou C C and Huang X 2019 Chin. Phys. B 28 010703 doi: 10.1088/1674-1056/28/1/010703
[14]	Liu X Y, Sun J, Dou L H and Chen J 2017 J. Syst. Sci. Complex 30 30
[15]	Cheng T H, Kan Z, Justin R K, John M S and Warren E D 2017 IEEE T. Automat. Contr. 62 5365 doi: 10.1109/TAC.2017.2693824
[16]	Liu J L, Zha L J, Cao J and Fei S M 2016 IET Control Theory A 10 2279 doi: 10.1049/iet-cta.2016.0392
[17]	Liu J L, Xia J L, Cao J and Tian E G 2018 Neurocomputing 291 35 doi: 10.1016/j.neucom.2018.02.060
[18]	Zhang Y, Yang Y and Fan Y 2016 IEEE Control Conference, July 27-29, 2016, Chengdu, China, p. 7634
[19]	Liu J L, Xia J L, Tian E G and Fei S M 2018 Appl. Math. Comput. 320 158
[20]	Zha L J, Tian E G, Xie X P, Gu Z and Cao J 2018 Inform. Sciences 457-458 141 doi: 10.1016/j.ins.2018.04.018
[21]	Liu J L, Wei L L, Xie X P, Tian E G and Fei S M 2018 IEEE T. Fuzzy Syst. 26 3820 doi: 10.1109/TFUZZ.2018.2849702
[22]	Huang K X, Zhou C J, Tian Y C, Yang S G and Qin Y Q 2018 IEEE T. Ind. Electron. 65 8153 doi: 10.1109/TIE.2018.2798605
[23]	Xiong J L, Lam J, Gao H J and Daniel W C H 2005 Automatica 41 897 doi: 10.1016/j.automatica.2004.12.001
[24]	Xiong J L and James L 2009 Int. J. Syst. Sci. 40 255 doi: 10.1080/00207720802300347
[25]	Zhang L X, Boukas E K and Lam J 2008 IEEE T. Automat. Contr. 53 2458 doi: 10.1109/TAC.2008.2007867
[26]	Zhang L X and Boukas E K 2009 Automatica 45 463 doi: 10.1016/j.automatica.2008.08.010
[27]	Rohatgi V K 1983 Technometrics 25 116 doi: 10.1080/00401706.1983.10487838
[28]	Yue D, Han Q L and Lam J 2005 Pergamon Press, Inc. pp. 999-1007
[29]	Tian E, Yue D and Peng C 2010 IET Control Theory A 4 1478 doi: 10.1049/iet-cta.2009.0441
[30]	Yan H C, Xu X L, Zhang H and Yang F W 2017 J. Franklin I 354 3760 doi: 10.1016/j.jfranklin.2016.05.019
[31]	Yue D, Tian E G and Han Q L 2013 IEEE T. Automat. Cont.r 58 475 doi: 10.1109/TAC.2012.2206694
[32]	Liu J L, Zha L J, Cao J and Fei S M 2016 IET Control Theory A 10 2279 doi: 10.1049/iet-cta.2016.0392
[33]	Miao G Y, Xu S Y, Zhang B Y and Zou Y 2014 IMA J. Math. Control I 31 151 doi: 10.1093/imamci/dns036
[34]	Liu J L, Wei L L, Tian E G, Fei S M and Cao J 2017 J. Franklin I 354 8490 doi: 10.1016/j.jfranklin.2017.10.007
[35]	Liu J L, Xia J L, Tian E G and Fei S M 2018 Appl. Math. Comput. 320 158
[36]	Nian X H, Gui W H and Liu Y M 2006 Proceedings of the 6th World Congress on Intelligent Control and Automation, June 21-23, 2006, Dalian, China, p. 1422
[37]	Seuret A and Frédéric G 2014 Automatica 50 300 doi: 10.1016/j.automatica.2013.09.047
[38]	Xiong J and Lam J 2009 Int. J. Syst. Sci. 40 255 doi: 10.1080/00207720802300347
[39]	Wang Y Y, Xie L H and De S C E 1992 Robust control of a class of uncertain nonlinear systems (New York:Elsevier Science Publishers B. V.) pp. 139-149
[40]	Savino H J, Souza F O and Pimenta L C A 2015 Int. J. Syst. Sci. 47 2475
[41]	Sun Y G and Wang L 2009 IEEE T. Automat. Contr. 54 1607 doi: 10.1109/TAC.2009.2017963
[42]	Mozelli L A, Palhares R M and Mendes E M A M 2010 IET Control Theory A 4 2813 doi: 10.1049/iet-cta.2009.0210
[43]	Souza F O, Palhares R M and Barbosa K A 2008 IET Control Theory A 2 1033 doi: 10.1049/iet-cta:20070343
[44]	Michael N, Schwager M, Kumar V and Rus D 2014 Cardiologia 39 631
[45]	Schwager M, Michael N, Kumar V and Rus D 2011 IEEE International Conference on Robotics & Automation, May 9-13, 2011, Shanghai, China, p. 3855 doi: International Conference on Robotics
[46]	Chen P, Qing L H, and Dong Y 2013 IEEE T. Fuzzy. Syst. 21 164 doi: 10.1109/TFUZZ.2012.2199994
[47]	Tian E, Yue D and Gu Z 2010 Fuzzy Set Syst. 161 2731 doi: 10.1016/j.fss.2010.03.008

Hybrid-triggered consensus for multi-agent systems with time-delays, uncertain switching topologies, and stochastic cyber-attacks

Hybrid-triggered consensus for multi-agent systems with time-delays, uncertain switching topologies, and stochastic cyber-attacks

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