Exponential stability of periodic solutions of recurrent neural networks with functional dependence on piecewise constant argument
Marat U. Akhmet, Duygu Aruğaslan Çinçin, Nur Cengiz · TURKISH JOURNAL OF MATHEMATICS · 2018
In this study, we develop a model of recurrent neural networks with functional dependence on piecewise constant argument of generalized type. Using the theoretical results obtained for functional differential equations with piecewise constant argument, we investigate conditions for existence and uniqueness of solutions, bounded solutions, and exponential stability of periodic solutions. We provide conditions based on the parameters of the model.