Global robust stability analysis of neural networks with multiple time delays

Ozcan N., Arik S.

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, cilt.53, sa.1, ss.166-176, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1109/tcsi.2005.855724
  • Dergi Adı: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.166-176
  • Anahtar Kelimeler: delayed neural networks, equilibrium and stability analysis, Lyapunov functionals, EXPONENTIAL STABILITY, ASYMPTOTIC STABILITY
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

Global robust convergence properties of continuous-time neural networks with discrete delays are studied. By employing suitable Lyapunov functionals, we derive a set of delay-independent sufficient conditions for the existence, uniqueness, and global robust asymptotic stability of the equilibrium point. The conditions can be easily verified as they can be expressed in terms of the network parameters only. Some numerical examples are given to compare our results with previous robust stability results derived in the literature. One of our main results is shown to improve and generalize a previously published result. Other results proved to establish a new set of robust stability criteria for delayed neural networks.