Finite-time anti-synchronisation of delayed Hopfield neural networks with discontinuous activations

Abstract

This paper is concerned with the finite-time anti-synchronisation problem of delayed Hopfield neural networks with discontinuous activations. By introducing a novel analytical method, new synchronisation criteria are established without the help of nonsmooth finite-time convergence theorem. The designed controllers herein are independent of time delay, and the established criteria depending on the time delay and system parameters are very simple to implement in practice and avoid complex computation, the upper-bound of the settling time is explicitly estimated as well. The new findings in this paper provide a new viewpoint for understanding the finite-time synchronization process of discontinuous neural networks. Finally, a numerical example is presented to support the effectiveness of the theoretical results.