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复杂系统与复杂性科学  2024, Vol. 21 Issue (4): 1-5    DOI: 10.13306/j.1672-3813.2024.04.001
  复杂网络 本期目录 | 过刊浏览 | 高级检索 |
带耦合时滞的分数阶社团网络的聚类滞后同步
吴聪玲, 吴召艳
江西师范大学数学与统计学院, 南昌 330022
Cluster Lag Synchronization in Fractional-order Community Networks with Coupling Delay
WU Congling, WU Zhaoyan
College of Mathematics and Statistics,Jiangxi Normal University,Nanchang 330022,China
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摘要 通过设计有效的时滞反馈控制器和开环控制器,研究带耦合时滞分数阶社团网络的聚类滞后同步问题。网络中不同社团的节点动力学是不同的,且与同步目标的滞后性也是不同的。基于Lyapunov函数方法和分数阶系统稳定性理论,给出了网络实现聚类滞后同步的充分条件。最后,通过数值与仿真实例验证理论结果的正确性和有效性。
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吴聪玲
吴召艳
关键词 耦合时滞分数阶社团网络聚类滞后同步    
Abstract:Through designing effective delayed feedback and open-loop controllers, the cluster lag synchronization problem of fractional order community network is studied. For different communities of the network, both the node dynamics and the lags with synchronization goals are nonidentical. Based on the Lyapunov function method and the stability theory of fractional order system, the sufficient condition for achieving the cluster lag synchronization is derived. Finally, the correctness and effectiveness of the theoretical results are verified by numerical and simulation examples.
Key wordscoupling delay    fractional-order    community network    cluster lag synchronization
收稿日期: 2023-03-04      出版日期: 2025-01-03
ZTFLH:  O231.5  
  N94  
基金资助:国家自然科学基金(61963019);江西省杰出青年人才资助计划(20171BCB23031)
通讯作者: 吴召艳(1979-),男,江苏徐州人,博士,教授,主要研究方向为复杂网络的建模、分析与控制。   
作者简介: 吴聪玲(1999-),女,江西吉安人,硕士,主要研究方向为动力系统与混沌控制。
引用本文:   
吴聪玲, 吴召艳. 带耦合时滞的分数阶社团网络的聚类滞后同步[J]. 复杂系统与复杂性科学, 2024, 21(4): 1-5.
WU Congling, WU Zhaoyan. Cluster Lag Synchronization in Fractional-order Community Networks with Coupling Delay[J]. Complex Systems and Complexity Science, 2024, 21(4): 1-5.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2024.04.001      或      https://fzkx.qdu.edu.cn/CN/Y2024/V21/I4/1
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