Existence and stability of periodic solution for mixed time-varying delayed neural networks with discontinuous activations

In this paper, we investigate a class of neural networks with mixed time-varying delays and discontinuous activations, new criteria for the existence and exponential stability of the periodic solution are established by using the Mawhin-like coincidence theorem, M-matrix theory, differential inequality techniques and Lyapunov functional. The obtained results are new and complement previously known results. Finally, we present a numerical example with simulations to demonstrate the effectiveness of the theoretical results.