Periodic solution for state-dependent impulsive shunting inhibitory CNNs with time-varying delays

Sayli M., YILMAZ E.

NEURAL NETWORKS, cilt.68, ss.1-11, 2015 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 68
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.neunet.2015.04.004
  • Dergi Adı: NEURAL NETWORKS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-11
  • Anahtar Kelimeler: Shunting inhibitory cellular neural networks, Global exponential stability, State-dependent impulsive systems, Periodicity, CELLULAR NEURAL-NETWORKS, GLOBAL EXPONENTIAL STABILITY, DIFFERENTIAL-EQUATIONS, CONVERGENCE BEHAVIOR, EXISTENCE, COEFFICIENTS, UNIQUENESS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we consider existence and global exponential stability of periodic solution for state-dependent impulsive shunting inhibitory cellular neural networks with time-varying delays. By means of B-equivalence method, we reduce these state-dependent impulsive neural networks system to an equivalent fix time impulsive neural networks system. Further, by using Mawhin's continuation theorem of coincide degree theory and employing a suitable Lyapunov function some new sufficient conditions for existence and global exponential stability of periodic solution are obtained. Previous results are improved and extended. Finally, we give an illustrative example with numerical simulations to demonstrate the effectiveness of our theoretical results. (C) 2015 Elsevier Ltd. All rights reserved.