Exponential Hï‚¥ Synchronization of Memristor-based Neural Networks with Time-varying Delays

Abstract

This paper investigates the exponential Hï‚¥ synchronization for memristor-based neural networks (MNNs) with time-varying delays. Under the framework of Filippov's solution and differential inclusion theory, an exponential synchronization controller is obtained based on linear matrix inequality (LMI) firstly. Then a delay-dependent Hï‚¥ synchronization controller for MNNs with time-varying delays is established to not only guarantee exponential synchronization, but also reduce the effect of external disturbance to an Hï‚¥ norm constraint.