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Chin. Phys. B, 2012, Vol. 21(12): 120508    DOI: 10.1088/1674-1056/21/12/120508
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Adaptive generalized matrix projective lag synchronization between two different complex networks with non-identical nodes and different dimensions

Dai Hao (戴浩), Jia Li-Xin (贾立新), Zhang Yan-Bin (张彦斌)
State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Abstract  The adaptive generalized matrix projective lag synchronization between two different complex networks with non-identical nodes and different dimensions is investigated in this paper. Based on Lyapunov stability theory and Barbalat's lemma, generalized matrix projective lag synchronization criteria is derived by using the adaptive control method. Furthermore, each network can be undirected or directed, connected or disconnected, and nodes in either network may have identical or different dynamics. The proposed strategy is applicable to almost all kinds of complex networks. In addition, numerical simulation results are presented to illustrate the effectiveness of this method, showing that the synchronization speed is sensitively influenced by the adaptive law strength, the network size, and the network topological structure.
Keywords:  complex networks      generalized matrix projective lag synchronization      adaptive control      Lyapunov stability theory  
Received:  31 March 2012      Revised:  27 April 2012      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  
  89.75.Hc (Networks and genealogical trees)  
Corresponding Authors:  Jia Li-Xin     E-mail:

Cite this article: 

Dai Hao (戴浩), Jia Li-Xin (贾立新), Zhang Yan-Bin (张彦斌) Adaptive generalized matrix projective lag synchronization between two different complex networks with non-identical nodes and different dimensions 2012 Chin. Phys. B 21 120508

[1] Watts D J and Strogatz S H 1998 Nature 391 440
[2] Barabasi A L and Albert R 1999 Science 286 509
[3] Pecora L M and Carroll T L 1998 Phys. Rev. Lett. 80 2109
[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] Wu X J and Lu H T 2010 Phys. Lett. A 374 3932
[7] Wu X J and Lu H T 2010 Chin. Phys. B 19 070511
[8] Wang M J, Wang X Y and Niu Y J 2011 Chin. Phys. B 20 010508
[9] Tang Y, Wong W K, Fang J A and Miao Q Y 2011 Chin. Phys. B 20 040513
[10] Zheng S, Bi Q S and Cai G L 2009 Phys. Lett. A 373 1553
[11] Tang H W, Chen L, Lu J A and Tse C K 2008 Phys. Lett. A 387 5623
[12] Chen B R, Jiao L C, Wu J S and Wang X H 2009 Chin. Phys. Lett. 26 060505
[13] Zhou J, Lu J A and Lü J H 2008 Automatica 44 996
[14] Yu W W, Chen G R and Lü J H 2009 Automatica 45 429
[15] Wen S, Chen S H and Guo W L 2008 Phys. Lett. A 372 6340
[16] Regalia P A and Sanjit M K 1989 SIAM Rev. 31 586
[17] Wu X J and Lu H T 2012 Commun. Nonlinear Sci. Numer. Simulat. 17 3005
[18] Dai H, Jia L X, Hui M and Si G Q 2011 Chin. Phys. B 20 040507
[19] Jia L X, Dai H and Hui M 2010 Chin. Phys. B 19 100501
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