Exponential synchronization of memristive neural networks with time delays

It is known that the parameters of memristive neural networks (MNNs) are state-dependent, and the unexpected parameter mismatch issue between driven system and response system might be caused by the special characteristics of MNNs, then the traditional state feedback synchronization control and analytical techniques cannot be applied directly. In order to solve this problem, one type of new sandwich control structure, which includes two types of sub-controllers and the different control gains, is designed to ensure the exponential synchronization of two MNNs. Meanwhile, in the process of synchronization, the time delays in MNNs and the time delays between drive system and response system in real environment are also considered by us. Based on the concept of Filippov solution, Lyapunov stability theory, matrix inequality, etc., the exponential synchronization conditions for the MNNs with two types of time delays via sandwich control are given. Finally, a numerical example is displayed to show the efficiency and feasibility of this method.