Cluster synchronization in a network of nonlinear systems with directed topology and competitive relationships
作者：
Highlights：
• The in-degree balanced condition has been relaxed such that the interaction topology of the different clusters only has to satisfy the cluster-input-equivalence condition.
• The nonlinear systems satisfy one-sided Lipschitz condition which is less conservative than the Lipschitz condition.
• We consider the cluster synchronization for the nonlinearly coupled nonlinear systems with undirected topology which is an extension of the work in [21].
摘要
•The in-degree balanced condition has been relaxed such that the interaction topology of the different clusters only has to satisfy the cluster-input-equivalence condition.•The nonlinear systems satisfy one-sided Lipschitz condition which is less conservative than the Lipschitz condition.•We consider the cluster synchronization for the nonlinearly coupled nonlinear systems with undirected topology which is an extension of the work in [21].
论文关键词：Cluster synchronization,Nonlinear systems,One-sided lipschitz,Competitive interactions
论文评审过程：Received 2 August 2021, Revised 11 December 2021, Accepted 4 January 2022, Available online 22 January 2022, Version of Record 22 January 2022.
论文官网地址：https://doi.org/10.1016/j.amc.2022.126931
