✨
Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
We provide conditions based on the parameters of the model.
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez:In this study, we develop a model of recurrent neural networks with functional dependence on piecewise constant argument of generalized type.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:We provide conditions based on the parameters of the model.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Recurrent neural networks · functional differential equations · piecewise constant argument
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.
Anahtar kelimeler
🔖
Bu Makaleye Atıf Yap
AKHMET, M., ÇİNÇİN, D. A., CENGİZ, N. (2018). Exponential stability of periodic solutions of recurrent neural networks with functional dependence on piecewise constant argument. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 1, 272–292. https://ajindex.com/articles/723144