Equilibrium and stability analysis of delayed neural networks under parameter uncertainties

Faydasicok O., Arik S.

APPLIED MATHEMATICS AND COMPUTATION, cilt.218, sa.12, ss.6716-6726, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 218 Sayı: 12
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.amc.2011.12.036
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6716-6726
  • Anahtar Kelimeler: Stability analysis, Delayed neural networks, Interval matrices, Lyapunov functionals, GLOBAL ROBUST STABILITY, EXPONENTIAL STABILITY, DISTRIBUTED DELAYS, DISCRETE, CRITERIA
  • İstanbul Üniversitesi Adresli: Evet

Özet

This paper proposes new results for the existence, uniqueness and global asymptotic stability of the equilibrium point for neural networks with multiple time delays under parameter uncertainties. By using Lyapunov stability theorem and applying homeomorphism mapping theorem, new delay-independent stability criteria are obtained. The obtained results are in terms of network parameters of the neural system only and therefore they can be easily checked. We also present some illustrative numerical examples to demonstrate that our result are new and improve corresponding results derived in the previous literature. (C) 2011 Elsevier Inc. All rights reserved.