FINITE TIME AND FIXED TIME SYNCHRONIZATION OF SHUNTING INHIBITORY MEMRISTIVE NEURAL NETWORKS VIA SLIDING MODE CONTROL

Abstract

This thesis investigates the finite time synchronization and fixed time synchronization of shunting inhibitory memristive neural networks with time-varying delays via sliding mode control. First, a new terminal sliding mode surface is designed and its reachability is analysed. Then, a unique sliding mode controller is constructed suitable for both the finite time and fixed time synchronization and its stability analysis is done by using Lyapunov functionals. Finally, numerical examples with the estimated settling times are provided to show the effectiveness of our results