Finite-Time Synchronization for Heterogeneous Complex Networks with Time-Varying Delays  

作　　者：Yicong Ma Yali Tai Yicong Ma;Yali Tai(School of Science, Jimei University, Xiamen, China;Chengyi University College, Jimei University, Xiamen, China)

机构地区：[1]School of Science, Jimei University, Xiamen, China [2]Chengyi University College, Jimei University, Xiamen, China

出　　处：《Applied Mathematics》2020年第10期1000-1012,共13页应用数学（英文）

摘　　要：This paper studies the problem of finite-time synchronization for a class of heterogeneous complex networks which not only have node time-varying delays and coupled time-varying delays but also contain uncertain disturbance. An appropriate controller is designed such that this type of network can be synchronized within a finite time. By constructing a proper Lyapunov function and using the finite-time stability theory, the sufficient conditions for the network to achieve finite-time synchronization are given and the finite time is estimated. Finally, the conclusions obtained are extended to the case of homogeneous complex networks with time-varying delays and uncertain disturbance.This paper studies the problem of finite-time synchronization for a class of heterogeneous complex networks which not only have node time-varying delays and coupled time-varying delays but also contain uncertain disturbance. An appropriate controller is designed such that this type of network can be synchronized within a finite time. By constructing a proper Lyapunov function and using the finite-time stability theory, the sufficient conditions for the network to achieve finite-time synchronization are given and the finite time is estimated. Finally, the conclusions obtained are extended to the case of homogeneous complex networks with time-varying delays and uncertain disturbance.

关 键 词：Finite-Time Synchronization HETEROGENEOUS Time-Varying Delays Uncertain Disturbance 

分 类 号：O17[理学—数学]