脉冲复杂网络的固定时间聚类同步
Fixed-Time Cluster Synchronization for Impulsive Complex Networks
DOI: 10.12677/PM.2022.124056, PDF,  被引量   
作者: 庞 璐, 于 娟：新疆大学，数学与系统科学学院，新疆 乌鲁木齐
关键词: 复杂动态网络；脉冲；固定时间；聚类同步；Complex Dynamic Networks； Impulse； Fixed-Time； Cluster Synchronization
摘要: 本文主要研究脉冲复杂网络的固定时间聚类同步问题。首先根据网络的耦合和聚类表达特性，提出一类具有脉冲效应的耦合网络模型。其次，通过设计纯幂律控制策略，利用脉冲系统的固定时间稳定性理论，得到脉冲复杂网络的固定时间聚类同步准则，并有效估计出同步的停息时间。最后通过提供相应的数值实例来验证控制策略和所提同步条件的有效性。
Abstract: This paper focuses on the problem of fixed-time cluster synchronization of impulsive complex networks. Firstly, according to the coupling and clustering expression characteristics of networks, a kind of coupling network model with impulsive effect is proposed. Secondly, the fixed-time cluster synchronization criterion of impulsive complex network is obtained by designing a pure power-law control strategy and using the theory of fixed-time stability of impulsive system, and the synchronization settling-time is estimated effectively. Finally, a numerical example is provided to verify the effectiveness of the control strategy and synchronization conditions.
文章引用：庞璐, 于娟. 脉冲复杂网络的固定时间聚类同步[J]. 理论数学, 2022, 12(4): 500-513. https://doi.org/10.12677/PM.2022.124056

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