Bipartite leader-following synchronization of fractional-order delayed multilayer signed networks by adaptive and impulsive controllers
作者：
Highlights：
• The model of FDMSNs is established, where fractional dynamics of networks, multiple time delays, and multiple connections between nodes are considered at the same time. There is no restriction placed on the topological structures of subnetworks in FDMSNs.
• Adaptive control and impulsive control are respectively designed to investigate BLS of FDMSNs and fractional-order coupled Chua’s circuits based on delayed multilayer signed networks. The obtained BLS criteria are related to the coupling strength, control gain, and the order of fractional derivative.
• A Halanay inequality of fractional version is established, which provides an effective tool to deal with the stability and synchronization of fractional-order delayed complex networks.
摘要
•The model of FDMSNs is established, where fractional dynamics of networks, multiple time delays, and multiple connections between nodes are considered at the same time. There is no restriction placed on the topological structures of subnetworks in FDMSNs.•Adaptive control and impulsive control are respectively designed to investigate BLS of FDMSNs and fractional-order coupled Chua’s circuits based on delayed multilayer signed networks. The obtained BLS criteria are related to the coupling strength, control gain, and the order of fractional derivative.•A Halanay inequality of fractional version is established, which provides an effective tool to deal with the stability and synchronization of fractional-order delayed complex networks.
论文关键词：Bipartite leader-following synchronization,Fractional-order delayed multilayer networks,Signed networks,Adaptive control,Impulsive control
论文评审过程：Received 23 December 2021, Revised 30 March 2022, Accepted 8 May 2022, Available online 22 May 2022, Version of Record 22 May 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.127243
