Exponential stability of periodic solutions of recurrent neural networks withfunctional dependence on piecewise constant argument

Abstract

In this study, we develop a model of recurrent neural networks with functional dependence on piecewiseconstant argument of generalized type. Using the theoretical results obtained for functional differential equations withpiecewise constant argument, we investigate conditions for existence and uniqueness of solutions, bounded solutions, andexponential stability of periodic solutions. We provide conditions based on the parameters of the model.