量化控制下分数阶时滞四元值神经网络的固定时间同步（英文）

李洪利; 陈胜龙; 杨霁楷

doi:10.13568/j.cnki.651094.651316.2022.03.28.0002

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量化控制下分数阶时滞四元值神经网络的固定时间同步（英文）

数理科学 | 更新时间：2026-01-21

- 量化控制下分数阶时滞四元值神经网络的固定时间同步（英文）
- 量化控制下分数阶时滞四元值神经网络的固定时间同步（英文）
- 新疆大学学报（自然科学版中英文） 2023年40卷第1期页码：1-9
- 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：
  
  supported by National Natural Science Foundation of the People’s Republic of China “Dynamical analysis and synchronization control of discrete-time fractional-order quaternion-valued neural networks”(12262035)
- DOI：10.13568/j.cnki.651094.651316.2022.03.28.0002
  中图分类号： TP183
- 纸质出版：2023
- 稿件说明：
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[1]李洪利,陈胜龙,杨霁楷.量化控制下分数阶时滞四元值神经网络的固定时间同步（英文）[J].新疆大学学报(自然科学版)(中英文),2023,40(01):1-9.
[1]李洪利,陈胜龙,杨霁楷.量化控制下分数阶时滞四元值神经网络的固定时间同步（英文）[J].新疆大学学报(自然科学版)(中英文),2023,40(01):1-9. DOI： 10.13568/j.cnki.651094.651316.2022.03.28.0002.

DOI：10.13568/j.cnki.651094.651316.2022.03.28.0002.

摘要

解决了量化控制下分数阶时滞四元值神经网络（DQ-VNNs）的固定时间同步问题．首先，将四元值误差系统分解为四个实值子系统，然后为实现固定时间同步目标设计了一个新的量化控制器，可以有效降低网络的传输压力．此外，推导出了分数阶DQ-VNNs的几个固定时间同步准则，并对固定时间同步的停息时间作出了相应估计．最后，通过数值例子验证了理论结果的可行性．

Abstract

The issue of fixed-time synchronization of delayed quaternion-valued neural networks(DQ-VNNs) with fractionalorder under quantized control is solved. Firstly

quaternion-valued error system is separated into four real-valued subsystems

then a neoteric quantized controller is designed to reach the fixed-time synchronization goal

which can effectively reduce the transmission pressure of network. Moreover

several fixed-time synchronization criteria are derived for fractional-order DQVNNs

and corresponding estimates of the settling time are also yielded for fixed-time synchronization. Finally

the feasibility of theoretical results is ascertained by numerical examples.

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references

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