Bipartite Synchronization Analysis of Fractional Order Coupled Neural Networks with Hybrid Control

摘要

The bipartite synchronization problem for fractional order antagonistic coupled neural networks (FACNNs) is investigated in this paper. Using the properties of gamma function and special matrix, some criteria for bipartite Mittag–Leffler (M–L) synchronization and bipartite finite time synchronization of FACNNs have been obtained. To achieve bipartite finite time pinning synchronization, hybrid control strategy is designed. That is, finite time control combined with pinning control, pinning partial nodes, which can access the information of the leader. The upper bound of synchronization setting time is obtained.