带有扰动的分数阶反应扩散网络的事件触发拟同步（英文）

杨亚朋; 胡成; 于娟

doi:10.13568/j.cnki.651094.651316.2021.03.10.0001

您当前的位置：

首页 >

文章列表页 >

带有扰动的分数阶反应扩散网络的事件触发拟同步（英文）

数理科学 | 更新时间：2026-01-21

- 带有扰动的分数阶反应扩散网络的事件触发拟同步（英文）
- 带有扰动的分数阶反应扩散网络的事件触发拟同步（英文）
- 新疆大学学报（自然科学版中英文） 2022年39卷第2期页码：134-143
- 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 the National Natural Science Foundation of People Republic of China (61963033);the Key Project of Natural Science Foundation of Xinjiang (2021D01D10)
- DOI：10.13568/j.cnki.651094.651316.2021.03.10.0001
  中图分类号： O157.5
- 纸质出版：2022
- 稿件说明：
移动端阅览
[1]杨亚朋,胡成,于娟.带有扰动的分数阶反应扩散网络的事件触发拟同步（英文）[J].新疆大学学报(自然科学版)(中英文),2022,39(02):134-143.
[1]杨亚朋,胡成,于娟.带有扰动的分数阶反应扩散网络的事件触发拟同步（英文）[J].新疆大学学报(自然科学版)(中英文),2022,39(02):134-143. DOI： 10.13568/j.cnki.651094.651316.2021.03.10.0001.

DOI：10.13568/j.cnki.651094.651316.2021.03.10.0001.

摘要

本文研究事件触发策略下带有有界扰动的分数阶反应扩散网络的同步问题．首先，为了消除扰动对网络的影响，提出一种基于边界层方法的分布式事件触发控制策略，并得到了网络实现准同步的充分条件；其次，通过反证法验证了该控制策略下的每个节点都不会出现Zeno现象；最后，通过一个算例验证了理论结果的可行性．

Abstract

This paper investigates the quasi-synchronization problem of fractional-order reaction-diffusion networks with bounded disturbance under event-triggered strategy. Firstly

in order to eliminate the influence of disturbances on the network

an event-triggered controller based on boundary layer method is proposed

and some sufficient conditions for achieving the quasi-synchronization are obtained. In addition

it is verified that Zeno phenomenon does not occur for each node based on the contradiction method. Finally

a numerical example is presented to verify the feasibility of the theoretical result.

关键词

Keywords

references

RADENKOVI′C M, KRSTI′C M. Distributed adaptive consensus and synchronization in complex networks of dynamical systems[J]. Automatica, 2018,91:233-243.

AGUILAR C, G′OMEZ-AGUILAR J, ALVARADO-MART′INEZ V, et al. Fractional order neural networks for system identification[J]. Chaos, Solitons and Fractals, 2020, 130:109444.

YU Z, JIANG H, HU C. Leader-following consensus of fractional-order multi-agent systems under fixed topology[J]. Neurocomputing, 2015, 149:613-620.

HUANG C, ZHANG X, LAM H, et al. Synchronization analysis for nonlinear complex networks with reaction-diffusion terms using fuzzy-modelbased approach[J]. IEEE Transactions on Fuzzy Systems, DOI:10.1109/TFUZZ.2020.2974143.

YANG X, LI C, HUANG T, et al. Global Mittag-Leffler synchronization of fractional-order neural networks via impulsive control[J]. Neural Processing Letters, 2018, 48:459-479.

YANG Y, HE Y, WU M. Intermittent control strategy for synchronization of fractional-order neural networks via piecewise Lyapunov function method[J]. Journal of the Franklin Institute, 2019, 356:4648-4676.

YU N, ZHU W. Event-triggered impulsive chaotic synchronization of fractional-order differential systems[J]. Applied Mathematics and Computation,2021, 388:125554.

FENG T, WANG Y, LIU L, et al. Observer-based event-triggered control for uncertain fractional-order systems[J]. Journal of the Franklin Institute,2020, 357:9423-9441.

KILBAS A, SRIVASTAVA H, TRUJILLO J. Theory and applications of fractional differential equations[M]. Amsterdam:Elsevier, 2006.

YANG S, YU J, HU C. Adaptively projective synchronization of fractional-order complex-valued neural networks[J]. Journal oF Xinjiang University(Natural Science Edition), 2018, 35(2):158-164.

LYU Y, HU C, YU J, et al. Edge-based fractional-order adaptive strategies for synchronization of fractional-order coupled networks with reactiondiffusion terms[J]. IEEE Transactions on Cybernetics, 2018, 50:1582-1594.

YANG S, YU J, HU C, et al. Quasi-projective synchronization of fractional-order complex-valued recurrent neural networks[J]. Neural Networks,2018, 104:104-113.

浏览量

162

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

西藏高寒农牧区温室温度调控系统研究

具有双时滞的分数阶SIQR谣言传播模型的分岔分析