Synchronization of linearly coupled neural networks with reaction–diffusion terms and unbounded time delays

In this paper, the author investigates the global synchronization problem for linearly coupled neural networks with reaction–diffusion terms and unbounded time delays. The main difference of this paper from previous works in literature is that the time delay can be unbounded and non-differential. Moreover, the pinning control problem of such neural networks is also investigated. Some sufficient criteria for synchronization are given by means of the linear matrix inequality (LMI). Finally, numerical simulations are also given to show the validity of the obtained criteria.