Global asymptotic synchronization of impulsive fractional-order complex-valued memristor-based neural networks with time varying delays

ALI M. S., HYMAVATHI M., Senan S., SHEKHER V., Arik S.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.78, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 78
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.cnsns.2019.104869
  • Dergi Adı: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Global asymptotic synchronization, Time varying delay, Fractional order, Complex valued neural networks, Riemann-Liouville derivative, Memristor, PERIODIC DISTURBANCE REJECTION, STABILITY ANALYSIS, EXPONENTIAL STABILITY, PROJECTIVE SYNCHRONIZATION, REALIZATIONS, DESIGN
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

This paper investigates the global synchronization of impulsive fractional-order complex-valued memristor-based neural networks with time varying delays. Based on the Riemann-Liouville (R-L) derivative, by applying Lyapunov functional approach and using the comparison theorem, we derive some global synchronization criteria for the fractional order linear systems. Global asymptotic synchronization criteria are achieved through the employment of a pinning control and comparison theorem of fractional order systems. Finally, the effectiveness of the proposed method is validated through a constructive numerical example. (C) 2019 Elsevier B.V. All rights reserved.