State-dependent impulsive Cohen-Grossberg neural networks with time-varying delays


Sayli M., Yilmaz E.

NEUROCOMPUTING, cilt.171, ss.1375-1386, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 171
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.neucom.2015.07.095
  • Dergi Adı: NEUROCOMPUTING
  • Sayfa Sayıları: ss.1375-1386

Özet

In this paper, a more general class of state-dependent impulsive Cohen-Grossberg neural networks having variable coefficients with time-varying delays is addressed. By means of B-equivalence method, we reduce this state-dependent impulsive neural networks system to a fix time impulsive neural networks system. Sufficient conditions for existence and global exponential stability of the equilibrium point as well as periodic solution are obtained by employing a suitable Lyapunov function, the Banach fixed point theorem and the Halanay-type impulsive differential inequality technique. Finally, two examples with numerical simulations to show the effectiveness of our theoretical results are illustrated. (C) 2015 Elsevier B.V. All rights reserved.