Fixed-time projective synchronization of memristive neural networks with discrete delay

Abstract

In this paper, the fixed-time projective synchronization of memristive neural networks (MNNs) with discrete delay is studied for the first time. In the circuit implementation of memristive neural network, the synapses are modeled by memristors. Compared with common neural networks, memristive neural network can simulate the human brain better. The fixed-time controller designed in this paper is simplest among all the controllers that are used to study fixed-time stability/synchronization. Since fixed-time stability, fixed-time synchronization and fixed-time anti-synchronization are all special cases of fixed-time projective synchronization, some existing results about the stability/synchronization of MNNs can be regarded as the corollaries of our theoretical results. Numerical simulations are provided to verify the theoretical results.