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带耦合时滞的分数阶社团网络的聚类滞后同步

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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.
Cluster Lag Synchronization in Fractional-order Community Networks with Coupling Delay
Through designing effective delayed feedback and open-loop controllers,the cluster lag synchronization problem of fractional order community network is studied.For different commu-nities of the network,both the node dynamics and the lags with synchronization goals are noni-dentical.Based on the Lyapunov function method and the stability theory of fractional order sys-tem,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 ex-amples.

coupling delayfractional-ordercommunity networkcluster lag synchronization

吴聪玲、吴召艳

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江西师范大学数学与统计学院,南昌 330022

耦合时滞 分数阶 社团网络 聚类滞后同步

2024

复杂系统与复杂性科学
青岛大学

复杂系统与复杂性科学

CSTPCD北大核心
影响因子:0.798
ISSN:1672-3813
年,卷(期):2024.21(4)