基于周期间歇控制的多层网络固定时间同步  

Fixed-Time Synchronization of Multi-Layer Networks via Periodically Intermittent Control

作　　者：赵婷婷 于娟[1] 胡成[1] ZHAO Tingting;YU Juan;HU Cheng(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6期648-653,共6页Journal of Xinjiang University(Natural Science Edition in Chinese and English)

基　　金：supported by National Natural Science Foundation of the People’s Republic of China(61963033;61866036)。

摘　　要：研究了多层网络在周期间歇控制下的固定时间同步问题.利用Lyapunov方法、微分不等式和固定时间稳定性定理,得出了在周期间歇控制下多层网络固定时间同步的充分判据,且通过严谨的理论推导给出了同步停息时间的精确估计.最后,通过两层网络数值仿真验证所提出的控制设计和建立的同步准则的可行性.This paper is mainly concerned with the issue of fixed-time(FXT)synchronization of multi-layer networks by means of periodically intermittent control.By using the Lyapunov method,differential inequality and the FIT stability theorem,some sufficient criteria are derived to ensure the FIT synchronization of multi-layer networks,and an accurate estimate of the setting time is given by rigorous theoretical deduction.Ultimately,the feasibility of the developed control design and the established criteria is illustrated by a numerical example of the two-layer network.

关 键 词：固定时间同步 周期间歇控制 多层网络 

分 类 号：O175.7[理学—数学]