Cluster synchronisation analysis for multi-weighted networks with average-mixed-delayed impulses
Huining Nie, Yu Zhang · International Journal of Systems Science · 2025
This paper investigates the cluster synchronisation of multi-weighted delayed networks with delayed impulses, where synchronising impulses and desynchronising impulses can occur simultaneously. The model under consideration is general that incorporates multiple clusters and an impulsive mixed-delay term with both pointwise and distributed delays. The average impulsive estimation approach is extended to deal with the mixed delays in the impulses. Two exponential cluster synchronisation criteria are obtained for the considered networks, and the information of impulsive intervals and impulsive mixed-delays is integrated into impulsive estimation. Numerical simulations are provided to verify the effectiveness and superiority of the theoretical results.