Successive lag synchronization on dynamical networks with communication delay

doi:10.1088/1674-1056/25/3/038901

中国物理B ›› 2016, Vol. 25 ›› Issue (3): 38901-038901.doi: 10.1088/1674-1056/25/3/038901

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇

Successive lag synchronization on dynamical networks with communication delay

Xin-Jian Zhang(张新建), Ai-Ju Wei(韦爱举), 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

收稿日期:2015-05-29 修回日期:2015-09-20 出版日期:2016-03-05 发布日期:2016-03-05
通讯作者: Ke-Zan Li E-mail:kezanli@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61004101), the Natural Science Foundation Program of Guangxi Province, China (Grant No. 2015GXNSFBB139002), the Graduate Innovation Project of Guilin University of Electronic Technology, China (Grant No. GDYCSZ201472), and the Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, China.

Successive lag synchronization on dynamical networks with communication delay

Xin-Jian Zhang(张新建), Ai-Ju Wei(韦爱举), 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

Received:2015-05-29 Revised:2015-09-20 Online:2016-03-05 Published:2016-03-05
Contact: Ke-Zan Li E-mail:kezanli@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61004101), the Natural Science Foundation Program of Guangxi Province, China (Grant No. 2015GXNSFBB139002), the Graduate Innovation Project of Guilin University of Electronic Technology, China (Grant No. GDYCSZ201472), and the Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, China.

摘要/Abstract

摘要： In this paper, successive lag synchronization (SLS) on a dynamical network with communication delay is investigated. In order to achieve SLS on the dynamical network with communication delay, we design linear feedback control and adaptive control, respectively. By using the Lyapunov function method, we obtain some sufficient conditions for global stability of SLS. To verify these results, some numerical examples are further presented. This work may find potential applications in consensus of multi-agent systems.

关键词: successive lag synchronization, dynamical network, communication delay, feedback control

Abstract: In this paper, successive lag synchronization (SLS) on a dynamical network with communication delay is investigated. In order to achieve SLS on the dynamical network with communication delay, we design linear feedback control and adaptive control, respectively. By using the Lyapunov function method, we obtain some sufficient conditions for global stability of SLS. To verify these results, some numerical examples are further presented. This work may find potential applications in consensus of multi-agent systems.

Key words: successive lag synchronization, dynamical network, communication delay, feedback control

中图分类号: (Networks and genealogical trees)

89.75.Hc

05.45.Xt (Synchronization; coupled oscillators) 89.75.-k (Complex systems)

张新建, 韦爱举, 李科赞. Successive lag synchronization on dynamical networks with communication delay[J]. 中国物理B, 2016, 25(3): 38901-038901.

Xin-Jian Zhang(张新建), Ai-Ju Wei(韦爱举), Ke-Zan Li(李科赞). Successive lag synchronization on dynamical networks with communication delay[J]. Chin. Phys. B, 2016, 25(3): 38901-038901.

参考文献 23

[1]	Zhou Y, Zhu S Q and Wu L 2005 Commun. Thoer. Phys. 44 1076
[2]	Gu X H, Zhu S Q and Wu D 2007 Commun. Thoer. Phys. 48 1055
[3]	Kwon O M, Park J H and Lee S M 2011 Nonlinear Dyn. 63 239
[4]	Wang X Y, Zhang N, Ren X L and Zhang Y L 2011 Chin. Phys. B 20 020507
[5]	Vieira M D 1999 Phys. Rev. Lett. 82 201
[6]	Creveling D R, Jeanne J M and Abarbanel H D 2008 Phys. Lett. A 372 2043
[7]	Xiao Y Z, Xu W, Li X C and Tang S F 2008 Chin. Phys. B 17 80
[8]	Chen J and Liu Z R 2005 Appl. Math. Mech. 26 1132
[9]	Wu W, Zhou W J and Chen T P 2009 IEEE Trans. Circuits Syst. I 56 829
[10]	Ma Z J, Zhang S Z, Jiang G R and Li K Z 2013 Nonlinear Dyn. 74 55
[11]	Li X and Chen Y 2007 Commun. Thoer. Phys. 48 132
[12]	Li X W and Zheng Z G 2007 Commun. Thoer. Phys. 47 265
[13]	Shahverdiev E M, Sivaprakasam S and Shore K A 2002 Phys. Lett. A 292 320
[14]	Dai H, Jia L X and Zhang Y B 2012 Chin. Phys. B 21 120508
[15]	Zhang H G, Ma T D, Yu W and Fu J 2008 Chin. Phys. B 17 3616
[16]	Li B, Yang D, Zhang X H and Ma L T 2007 Acta Automat. Sinica 33 1196
[17]	Zhang Q X, Lu J A and Jia Z 2009 Commun. Thoer. Phys. 51 679
[18]	Li G H 2009 Chaos Solition. Fract. 41 2630
[19]	Huang Y H, Wang Y W and Xiao J W 2009 Chaos Solition. Fract. 40 766
[20]	Li K Z, Yu W W and Ding Y 2015 Nonlinear Dyn. 80 421
[21]	Liu C L and Tian Y P 2007 Proceedings of the 26th Chinese Control Conference, July 26-31, 2007, Zhangjiajie, China, p. 4060
[22]	Chen T P, Liu X W and Lu W L 2007 IEEE Trans. Circuits Syst. I 54 1317
[23]	Li K Z, Zhou J, Yu W W, Small M and Fu X C 2014 Appl. Math. Model. 38 1300

Successive lag synchronization on dynamical networks with communication delay

Successive lag synchronization on dynamical networks with communication delay

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