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

2018-01-01
Akhmet, Marat
ARUĞASLAN ÇİNÇİN, Duygu
Cengiz, Nur
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.