Finite-time projective synchronization of memristor-based neural networks with leakage and time-varying delays

This paper is concerned with the finite-time projective synchronization problem of memristor-based neural networks(MNNs) with leakage and time-varying delays. The finite-time modified projective synchronization and function projective synchronization theorems are proposed, and the approach of Lyapunov stability and two different finite-time synchronization methods are adopted in the proof processes. Based on time-delay correlation and irrelevant problem, two different controllers are designed, and several stability conditions are presented to ensure that the drive–response systems achieve the finite-time synchronization with arbitrary continuous bounded functions. Meanwhile, several corollaries about the special cases of finite-time projective synchronization are given along with the theorems. Finally, two numerical simulations are carried out to illustrate the effectiveness and verify our results.