Pinning synchronization of fractional and impulsive complex networks via event-triggered strategy

被引:30
作者
Hai, Xudong [1 ]
Ren, Guojian [1 ]
Yu, Yongguang [1 ]
Xu, Conghui [1 ]
Zeng, Yanxiang [1 ]
机构
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
来源
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2020年 / 82卷
基金
中国国家自然科学基金; 北京市自然科学基金;
关键词
Fractional complex networks; Pinning control; Event-triggered strategy; Impulses; CLUSTER SYNCHRONIZATION; NEURAL-NETWORKS; STABILITY; SYSTEMS;
D O I
10.1016/j.cnsns.2019.105017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the pinning control of fractional complex networks with impulses and time-varying delays is studied and a class of more general network structure is considered which consists of an instantaneous communication topology and a delayed communication topology. Based on the linear matrix inequality technique, some sufficient conditions are obtained to ensure synchronization of the network under a designed pinning event-triggered strategy. And Zeno behaviors are excluded. In addition, a pinning scheme is designed, which shows that the nodes with delayed communication are good candidates for applying pinning controllers. Finally, a numerical simulation is given to verify the correctness of the main results.(C) 2019 Elsevier B.V. All rights reserved.
引用
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页数:14
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