Existence and stability of almost periodic solutions for CNNs with continuously distributed leakage delays

摘要

In this paper, a class of nonlinear nonautonomous cellular neural networks system with the introduction of continuously distributed delays in the leakage (or forgetting) terms is considered. By using Lyapunov functional method and differential inequality techniques, without assuming the boundedness on the activation functions, we derive a set of easily verifiable sufficient conditions that guarantee the existence and exponential stability of almost periodic solutions for the system. Moreover, an example and its numerical simulation are given to demonstrate the feasibility of our method.