Fixed-time synchronization for coupled delayed neural networks with discontinuous or continuous activations

This paper is concerned with fixed-time synchronization of coupled delayed neural networks with discontinuous or continuous activation functions. Two discontinuous control protocols under undirected or directed topologies are proposed to guarantee that coupled delayed neural networks achieve synchronization with a desired trajectory in fixed time, respectively. Several sufficient criteria for fixed-time synchronization are obtained. Furthermore, an upper bound of the settling time is theoretically estimated, which is independent on initial conditions. Finally, two numerical examples are given to illustrate the effectiveness of the synchronization criteria.