|
|
Novel criteria for exponential synchronization of inner time-varying complex networks with coupling delay |
Zhang Qun-Jiao(张群娇)a)† and Zhao Jun-Chan(赵军产)a)b) |
a. College of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, China;
b. Laboratoire de Mathématiques Appliquées, Universite du Havre, Le Havre Cedex, 76058, France |
|
|
Abstract This paper mainly investigates the exponential synchronization of an inner time-varying complex network with coupling delay. Firstly, the synchronization of complex networks is decoupled into the stability of the corresponding dynamical systems. Based on the Lyapunov function theory, some sufficient conditions to guarantee its stability with any given convergence rate are derived, thus the synchronization of the networks is achieved. Finally, the results are illustrated by a simple time-varying network model with a coupling delay. All involved numerical simulations verify the correctness of the theoretical analysis.
|
Received: 20 May 2011
Revised: 25 December 2011
Accepted manuscript online:
|
PACS:
|
05.45.-a
|
(Nonlinear dynamics and chaos)
|
|
89.75.-k
|
(Complex systems)
|
|
Fund: Project supported in part by the National Natural Science Foundation of China(Grant No.11047114),the Key Project of theChinese Ministry of Education(Grant No.210141),and the Youth Foundation of the Educational Committee of Hubei Provinceof China(Grant Nos.Q20111607 and Q20111611) |
Corresponding Authors:
Zhang Qun-Jiao, E-mail:qunjiao99@163.com
E-mail: qunjiao99@163.com
|
Cite this article:
Zhang Qun-Jiao(张群娇) and Zhao Jun-Chan(赵军产) Novel criteria for exponential synchronization of inner time-varying complex networks with coupling delay 2012 Chin. Phys. B 21 040502
|
[1] |
Strogatz S H 2001 Nature 410 268
|
[2] |
Albert R and Barabási A L 2002 Rev. Mod. Phys. 74 47
|
[3] |
Wang X F and Chen G R 2003 IEEE Cir. Syst. Mag. 3 6
|
[4] |
Wang X F and Chen G R 2002 Int. J. Bifur. Chaos 12 187
|
[5] |
Wang X F and Chen G R 2002 IEEE Trans. Circ. Syst. I 49 54
|
[6] |
Hong H, Choi M Y and Kim B J 2002 Phys. Rev. E 65 26
|
[7] |
Li C G and Chen G R 2004 Physica A 343 263
|
[8] |
Li C G, Xu H, Liao X and Yu J 2004 Physica A 335 359
|
[9] |
Chen L, Shi Y D and Wang D S 2010 Chin. Phys. B 19 100503
|
[10] |
Gao H J, Lam J and Chen G R 2006 Phys. Lett. A 360 263
|
[11] |
Tu L L and Lu J A 2009 Comput. Math. Appl. 57 28
|
[12] |
Wang Q Y, Duan Z S, Chen G R and Feng Z S 2008 Physica A 387 5616
|
[13] |
Zhang W Y and Li J M 2011 Chin. Phys. B 20 030701
|
[14] |
He W L and Cao J D 2009 Phys. Lett. A 373 2682
|
[15] |
Wu X Q 2008 Physica A 387 997
|
[16] |
Earl M G and Strogatz S H 2003 Phys. Rev. E 67 036204
|
[17] |
Tu L L 2011 Chin. Phys. B 20 030504
|
[18] |
Du R J, Dong G G, Tian L X, Zheng S and Sun M 2010 Chin. Phys. B 19 070509
|
[19] |
Li C, Sun W and Xu D 2005 Prog. Theor. Phys. 114 1
|
[20] |
Lü J H, Yu X and Chen G R 2004 Physica A 334 281
|
[21] |
Boyd S, Ghaoui El, Feron E and Balakrishnan V 1994 “Linear Matrix Inequalities in System and Control Theory”, SIAM Studies in Applied Mathematics (Philadelphia: SIAM)
|
[22] |
Abou-Kandil H, Freiling G, Ionescu V and Jank G 2003 Matrix Riccati Equations in Control and Systems Theory (Basel: Birkhauser)
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|