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

Authors : Marat Akhmet, Duygu Aruğaslan Çinçin, Nur Cengiz

Pages : 272-292

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Publication Date : 9999-12-31

Article Type : Makaleler

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