Global exponential stability of neural networks with non-smooth and impact activations

AKHMET M., YILMAZ E.

NEURAL NETWORKS, cilt.34, ss.18-27, 2012 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.neunet.2012.06.004
  • Dergi Adı: NEURAL NETWORKS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.18-27
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we consider a model of impulsive recurrent neural networks with piecewise constant argument. The dynamics are presented by differential equations with discontinuities such as impulses at fixed moments and piecewise constant argument of generalized type. Sufficient conditions ensuring the existence, uniqueness and global exponential stability of the equilibrium point are obtained. By employing Green's function we derive new result of existence of the periodic solution. The global exponential stability of the solution is investigated. Examples with numerical simulations are given to validate the theoretical results. (C) 2012 Elsevier Ltd. All rights reserved.