Finite-time modified projective synchronization of memristor-based neural network with multi-links and leakage delay

This paper investigates the finite-time modified projective synchronization problem of memristor-based neural networks with multi-links (MNNLs). And leakage and discrete time-varying delays (mixed delays) are considered in the MNNLs model. By designing a delay-dependent controller and an adaptive controller, the drive-response systems can reach finite-time modified projective synchronization with arbitrary constants. Based on two kinds of finite-time stability theories and some differential inequalities, several finite-time modified projective synchronization criteria are obtained with the Lyapunov stability method. Besides, several corollaries about the special cases of finite-time modified projective synchronization are given along with the proposed theorems. At last, three numerical simulations are given to illustrate the effectiveness and verify the correctness of our results. (C) 2018 Elsevier Ltd. All rights reserved.