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In this paper, we shall investigate synchronization of neural networks with interval time-varying and unbounded distributed delay with hybrid coupling, which is composed of constant coupling and interval time-varying delays coupling. The designed controller ensures that the synchronization of hybrid couple delayed neural networks are proposed via feedback control and sampled-data feedback control. Based on the construction of improved Lyapunov-Krasovskii functionals and Kronecker product properties, several sufficient conditions are established to achieve global synchronization based on the design of the outer-coupling matrices, the inner-coupling matrices, and some free matrices representing the relationships between the system matrices. New synchronization criteria are derived in terms of LMIs which can be solved efficiently by standard convex optimization algorithms. Two numerical examples are included to show the effectiveness of the proposed feedback control method and sampled-data feedback control scheme.Text of the abstract.

GLOBAL SYNCHRONIZATION OF HYBRID COUPLED NEURAL NETWORKS WITH INTERVAL TIME-VARYING AND UNBOUNDED DISTRIBUTED DELAYS VIA SAMPLED-DATA FEEDBACK CONTROL