Mean square modified function projective synchronization of uncertain complex network with multi-links and stochastic perturbations

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• 作者：Hui Zhao (1)
  Lixiang Li (2)
  Haipeng Peng (2)
  Jinghua Xiao (1)
  Yixian Yang (2)
  
• 关键词：Statistical and Nonlinear Physics
• 刊名：The European Physical Journal B - Condensed Matter
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：88
• 期：2
• 全文大小：497 KB
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• 作者单位：Hui Zhao (1)
  Lixiang Li (2)
  Haipeng Peng (2)
  Jinghua Xiao (1)
  Yixian Yang (2)
  
  1. School of Science, Beijing University of Posts and Telecommunications, Beijing, 100876, P.R. China
  2. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, P.R. China
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Condensed Matter
  Physics
  Complexity
  Fluids
  Solid State Physics and Spectroscopy
  Superconductivity, Superfluidity and Quantum Fluids
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1434-6036

文摘

In this paper, it is mainly concerned with the issue of mean square modified function projective synchronization of uncertain complex network with multi-links and stochastic perturbations. The uncertain terms are the unknown topological structure which exists inside the complex network and the external noise is imposed to the network. In order to achieve the mean square modified function projective synchronization of complex dynamical network, a strict feedback controller and novel adaptive control laws are designed based on Lyapunov stability theory, inequality techniques, and the properties of the Weiner process to obtain several novel synchronization criterion. Furthermore, the effectiveness of the proposed control scheme is validated by numerical simulations.