Dynamical Behaviors of a Large Class of Delayed Differential Systems with Discontinuous Right-Hand Side

摘要

In this paper, we investigate dynamical behaviors of a large class of delayed differential systems with discontinuous right-hand side. This class of delayed differential systems includes Hopfield and Cellular neural networks with discontinuous activations as special cases. We prove that under some mild conditions, this system has a unique almost-periodic solution, which is globally exponential stable.