Abstract
In this paper, finite-time synchronization for a class of complex-valued neural networks with time delays and discontinuous activations is concerned under the framework of Filippov solutions. Both state feedback and adaptive controllers are designed to overcome the difficulties in dealing with the time delay and the uncertainties of Filippov solutions. Based on the concept of Filippov solutions, differential inclusion and structuring suitable Lyapunov-Krasovskii functionals, some sufficient conditions are obtained to guarantee that a controlled response system is synchronized with a driving system in a finite time. Finally, numerical simulations are given to show the effectiveness of the theoretical results.