Function projective synchronization between two different complex networks with correlated random disturbances

doi:10.1088/1674-1056/24/4/049202

Abstract Although function projective synchronization in complex dynamical networks has been extensively studied in the literature, few papers deal with the problem between two different complex networks with correlated random disturbances. In this paper, we present some novel techniques to analyze the problem of synchronization. A probability approach is introduced to obtain an almost sure synchronization criterion. We also present some efficient approaches to analyze the problem of exponential synchronization. For the problem of synchronization in some complex networks, our approaches not only can replace the LaSalle-type theorem but also allow improvements of existing results in the literature. Finally, some numerical examples are provided to demonstrate the effectiveness of the proposed approaches.

Keywords: complex networks random disturbances synchronization martingale Itô integral

Received: 28 September 2014
Revised: 19 November 2014
Accepted manuscript online:

PACS:

92.40.Xx

(Irrigation; dams)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61273015).

Corresponding Authors: Jin Yun-Guo, Zhong Shou-Ming
E-mail: yunguoj@163.com;zhongsm@uestc.edu.cn

Cite this article:

Jin Yun-Guo (金运国), Zhong Shou-Ming (钟守铭), An Na (安娜) Function projective synchronization between two different complex networks with correlated random disturbances 2015 Chin. Phys. B 24 049202

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Function projective synchronization between two different complex networks with correlated random disturbances

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