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  • 标题:Finite-time synchronization for chaotic neural networks with stochastic disturbances
  • 本地全文:下载
  • 作者:Xuejun Shi ; Yongshun Zhao ; Xiaodi Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-13
  • DOI:10.1186/s13662-020-03112-y
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we focus on the problem of synchronization for chaotic neural networks with stochastic disturbances. Firstly, we provide a basic result that the systems including the drive system, response system, and error system have a unique solution on the whole time horizon. Based on this result, we design a new control law such that the response system can be synchronized with the drive chaotic system in finite time. Furthermore, we show that the settling time is independent of the initial data under some proper conditions, which hints that the fixed-time synchronization of chaotic neural networks can be realized by our proposed method. Finally, we give simulations to verify the theoretical analysis for our main results.
  • 关键词:Fixed-time stability ; Chaotic neural networks ; Lyapunov stability ; Finite-time synchronization
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