›› 2015, Vol. 24 ›› Issue (4): 49202-049202.doi: 10.1088/1674-1056/24/4/049202

• GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS • 上一篇    下一篇

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

金运国a, 钟守铭a b, 安娜c   

  1. a School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China;
    b Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu 611731, China;
    c School of Mathematics and Systems Science, Beihang University, Beijing 100191, China
  • 收稿日期:2014-09-28 修回日期:2014-11-19 出版日期:2015-04-05 发布日期:2015-04-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 61273015).

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

Jin Yun-Guo (金运国)a, Zhong Shou-Ming (钟守铭)a b, An Na (安娜)c   

  1. a School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China;
    b Key Laboratory for Neuroinformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu 611731, China;
    c School of Mathematics and Systems Science, Beihang University, Beijing 100191, China
  • Received:2014-09-28 Revised:2014-11-19 Online:2015-04-05 Published:2015-04-05
  • Contact: Jin Yun-Guo, Zhong Shou-Ming E-mail:yunguoj@163.com;zhongsm@uestc.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 61273015).

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摘要： 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.

关键词: complex networks, random disturbances, synchronization, martingale, Itô, integral

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.

Key words: complex networks, random disturbances, synchronization, martingale, Itô, integral

中图分类号:  (Irrigation; dams)

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