Authors: MARAT AKHMET, DUYGU ARUĞASLAN ÇİNÇİN, NUR CENGİZ
Abstract: 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.
Keywords: Recurrent neural networks, functional differential equations, piecewise constant argument, periodic solution, stability
Full Text: PDF