Synchronization of Memristor-Based Time-Delayed Neural Networks via Pinning Control

Abstract

As the realization of memristor by HP Lab, more and more researchers pay attention to the memristor-based neural networks (MNNs). In this paper, a pinning control method is applied to drive two MNNs to achieve synchronization. Conditions about the pinning controllers are given to guarantee the asymptotic synchronization of MNNs with time-varying delays. Furthermore, MNNs are nonlinear state-dependent systems with discontinuous right-hand sides such that all the dynamic analyses are under the framework of Filippov’s solutions and the theory of differential inclusions. The effectiveness of the proposed pinning method is verified by a numerical example.