Lag H∞ synchronization of coupled neural networks with multiple state couplings and multiple delayed state couplings

This paper mainly focuses on the lag H∞ synchronization problem of coupled neural networks with multiple state or delayed state couplings. On one hand, by exploiting state feedback controller and Lyapunov functional, a criterion of lag H∞ synchronization for coupled neural networks with multiple state couplings (CNNMSCs) is insured, and lag H∞ synchronization problem in CNNMSCs is also coped with based on the adaptive state feedback controller. On the other hand, we explore the lag H∞ synchronization for coupled neural networks with multiple delayed state couplings (CNNMDSCs) by utilizing similar control strategies. At last, two numerical examples are presented to verify the effectiveness and correctness of lag H∞ synchronization for CNNMSCs and CNNMDSCs.