Stochastic synchronization for time-varying complex dynamical networks

doi:10.1088/1674-1056/21/2/020501

中国物理B ›› 2012, Vol. 21 ›› Issue (2): 20501-020501.doi: 10.1088/1674-1056/21/2/020501

郭晓永¹ ²,李俊民¹

收稿日期:2011-04-18 修回日期:2011-09-15 出版日期:2012-01-30 发布日期:2012-01-30
通讯作者: 郭晓永,xyguomath@126.com E-mail:xyguomath@126.com

Stochastic synchronization for time-varying complex dynamical networks

Guo Xiao-Yong(郭晓永)^a)b)† and Li Jun-Min(李俊民)^a)

a. Department of Applied Mathematics, Xidian University, Xi'an 710071, China;
b. Department of Mathematics and Science, Lincang Teachers' College, Lincang 677000, Yunnan Province, China

Received:2011-04-18 Revised:2011-09-15 Online:2012-01-30 Published:2012-01-30
Contact: Guo Xiao-Yong,xyguomath@126.com E-mail:xyguomath@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 60974139) and the Fundamental Research Funds for the Central Universities (Grant No. 72103676).

摘要/Abstract

Abstract: This paper studies the stochastic synchronization problem for time-varying complex dynamical networks. This model is totally different from some existing network models. Based on the Lyapunov stability theory, inequality techniques, and the properties of the Weiner process, some controllers and adaptive laws are designed to ensure achieving stochastic synchronization of a complex dynamical network model. A sufficient synchronization condition is given to ensure that the proposed network model is mean-square stable. Theoretical analysis and numerical simulation fully verify the main results.

Key words: stochastic dynamical networks, synchronization, time-varying coupling strength, adaptive control

中图分类号: (Stochastic analysis methods)

05.10.Gg

05.45.Xt (Synchronization; coupled oscillators) 02.30.Yy (Control theory)

郭晓永, 李俊民. [J]. 中国物理B, 2012, 21(2): 20501-020501.

Guo Xiao-Yong(郭晓永) and Li Jun-Min(李俊民) . Stochastic synchronization for time-varying complex dynamical networks[J]. Chin. Phys. B, 2012, 21(2): 20501-020501.

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Stochastic synchronization for time-varying complex dynamical networks

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