带有扰动的分数阶反应扩散网络的事件触发拟同步  

Event-Triggered Quasi-Synchronization of Fractional-Order Reaction-Diffusion Networks with Disturbance

作　　者：杨亚朋 胡成[1] 于娟[1] YANG Yapeng;HU Cheng;YU Juan(School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830017,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830017

出　　处：《新疆大学学报（自然科学版）（中英文）》2022年第2期134-143,共10页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：supported by the National Natural Science Foundation of People Republic of China (61963033);the Key Project of Natural Science Foundation of Xinjiang (2021D01D10)。

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.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：分数阶 反应扩散网络 事件触发 扰动 

分 类 号：O175.7[理学—数学]