Generalized synchronization between two different complex delayed networks

被引:0
|
作者
Xu, Junqun [1 ,2 ]
Zhang, Jianxiong [1 ]
Pang, Mingbao [2 ]
机构
[1] College of Management and Economics, Tianjin University
[2] School of Civil Engineering, Hebei University of Technology
来源
Tianjin Daxue Xuebao (Ziran Kexue yu Gongcheng Jishu Ban)/Journal of Tianjin University Science and Technology | 2014年 / 47卷 / 01期
关键词
Complex network; Drive-response synchronization; Generalized synchronization; Time-delay;
D O I
10.11784/tdxbz201207015
中图分类号
学科分类号
摘要
The problem of generalized synchronization between two different networks was investigated, and these two networks consist of different nodes and different topological structures. Based on the drive-response strategy, the corresponding synchronization criterion was given via the Lyapunov stability scheme. A numerical example was cited to show the effectiveness of the proposed method. In the numerical example, the producer and the consumer were adopted in the driven network and the response network, respectively. It is shown that these two networks can achieve the generalized synchronization when the designed controller satisfies the proposed criterion.
引用
收藏
页码:81 / 85
页数:4
相关论文
共 14 条
  • [1] Watts D., Strogatz S., Collective dynamics of 'smallworld' networks, Nature, 393, 6684, pp. 440-442, (1998)
  • [2] Barabasi A., Albert R., Emergence of scaling in random networks, Science, 286, 5439, pp. 509-512, (1999)
  • [3] Wang X., Li X., Chen G., Theory of Complex Network and Its Applications, (2006)
  • [4] Wang Q., Chen G., Lu Q., Et al., Novel criteria of synchronization stability in complex networks with coupling delays, Physica A: Statistical Mechanics and Its Applications, 378, 2, pp. 527-536, (2007)
  • [5] Song Q., Cao J., On pinning synchronization of directed and undirected complex dynamical networks, IEEE Transactions on Circuits and Systems I: Regular Papers, 57, 3, pp. 672-680, (2010)
  • [6] Lu L., Zhang C., Chaos synchronization of a complex network with different nodes, Acta Physica Sinica, 58, 3, pp. 1462-1465, (2009)
  • [7] Bian Q., Yao H., Linear generalized synchronization of complex networks, Systems Engineering Theory and Practice, 31, 7, pp. 1334-1340, (2011)
  • [8] Guo L., Nian X., Pan H., Synchronization criteria for general coupling complex networks with time varying delay, Control Theory and Applications, 28, 1, pp. 73-78, (2011)
  • [9] Li C., Sun W., Kurths J., Synchronization between two coupled complex networks, Physical Review E, 76, 4, (2007)
  • [10] Tang H., Chen L., Lu J., Et al., Adaptive synchronization between two complex networks with nonidentical topological structures, Physica A: Statistical Mechanics and Its Applications, 387, 22, pp. 5623-5630, (2008)