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

AKHMET M., ARUĞASLAN ÇİNÇİN D., Cengiz N.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.1, ss.272-292, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1606-138
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.272-292
  • Anahtar Kelimeler: Recurrent neural networks, functional differential equations, piecewise constant argument, periodic solution, stability, RETARDED DIFFERENTIAL-EQUATIONS, DELAY
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.