耦合忆阻复值神经网络的固定时间同步

冯靓; 胡成; 于娟

doi:10.13568/j.cnki.651094.651316.2020.02.20.0003

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耦合忆阻复值神经网络的固定时间同步

更新时间：2026-01-21

- 耦合忆阻复值神经网络的固定时间同步
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 38, Issue 2, Pages: 129-143(2021)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.651316.2020.02.20.0003
  CLC： TN60;TP183
- Published：2021
- 稿件说明：
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[1]冯靓,胡成,于娟.耦合忆阻复值神经网络的固定时间同步[J].新疆大学学报(自然科学版)(中英文),2021,38(02):129-143.
[1]冯靓,胡成,于娟.耦合忆阻复值神经网络的固定时间同步[J].新疆大学学报(自然科学版)(中英文),2021,38(02):129-143. DOI： 10.13568/j.cnki.651094.651316.2020.02.20.0003.

DOI：10.13568/j.cnki.651094.651316.2020.02.20.0003.

摘要

本文研究了具有时变时滞的耦合忆阻复值神经网络的固定时间同步.首先

引入了复值符号函数来避开传统的分离方法

并建立了一个新的固定时间稳定定理来改进已有的相关结论;然后

通过设计不连续控制策略

利用微分包含理论

建立了主从耦合忆阻复值神经网络的固定时间同步判据.本文的控制策略并不包含线性部分

简化了传统的控制设计;最后

通过数值实例对理论结果进行了验证.

Abstract

This paper investigates the fixed-time synchronization of coupled memristive complex-valued neural networks(MCNNs) with time-varying delay. Firstly

a complex-valued sign function is introduced to avoid the common separation technique and a new fixed-time stability theorem is established to improve the existing ones. Afterward

by proposing a discontinuous control scheme and applying differential inclusion theory

some criteria are derived to achieve fixed-time synchronization of master-salve coupled MCNNs. The developed control scheme here simplifies the traditional design by excluding the linear part.Finally

a numerical example is given to validate of the theoretical results.

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references

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