Stochastic synchronization for time-varying complex dynamical networks

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 adap...

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Bibliographic Details
Published in:Chinese physics B 2012-02, Vol.21 (2), p.123-130
Main Author: 郭晓永 李俊民
Format: Article
Language:English
Subjects:
Computer simulation
Controllers
Inequalities
Lyapunov稳定性理论
Mathematical models
Networks
Stability
Stochasticity
Synchronism
Synchronization
动力网络
动态网络模型
同步问题
时间变化
维纳过程
网络同步
随机同步
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Summary: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.
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/2/020501