Finite-time synchronization of coupled time-delayed neural networks with discontinuous activations

In this paper, we study a class of coupled time-delayed neural networks with discontinuous activations. Based on the new analysis techniques, framework of nonsmooth analysis, differential inclusion theory, both discontinuous controller and novel controller with continuous part are considered to realize the finite-time synchronization for discontinuous coupled neural networks. Some criteria are investigated in detail on constructing suitable Lyapunov functions cover 1-norm and quadratic-form, which were considered separately in the past. Finally, numerical examples are provided to show the correctness of our analysis. Our results are essentially new and they extend previously known researches.