Distributed adaptive finite-time and fixed-time cluster synchronization of complex networks

被引：1
作者：
Zhang, Shikun [1 ]
Liu, Dan [1 ]
Cui, Xiaohong [1 ]
Zhou, Kun [1 ]
Wang, Binrui [1 ]
机构：
[1] China Jiliang Univ, Coll Mech & Elect Engn, Hangzhou, Zhejiang, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE | 2025年 / 362卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Cluster synchronization; Distributed adaptive control; Complex networks; Finite-time; Fixed-time;
D O I：
10.1016/j.jfranklin.2025.107533
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper aims to study the finite-time (FNT) and fixed-time (FXT) cluster synchronization problems of complex networks (CNs). First, to ensure scalability of CNs, the adaptive laws are proposed to update coupling weights between neighboring nodes in same cluster. In this case, only local information is required instead of global one. Then, by designing the appropriate controllers and employing Lyapunov stable theory, several sufficient conditions are obtained to fulfill cluster synchronization in FNT and FXT. When the number of clusters is single, the general FNT and FXT synchronization are also investigated under distributed adaptive strategies. Finally, the theoretical results are verified by a numerical simulation example.
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页数：12
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