Finite Time Stability Analysis of Fractional-Order Complex-Valued Memristive Neural Networks with Proportional Delays

Ali M. S., Narayanan G., Orman Z., Shekher V., Arik S.

NEURAL PROCESSING LETTERS, cilt.51, sa.1, ss.407-426, 2020 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s11063-019-10097-7
  • Dergi Adı: NEURAL PROCESSING LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, PASCAL, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, Information Science and Technology Abstracts, INSPEC, zbMATH, DIALNET
  • Sayfa Sayıları: ss.407-426
  • Anahtar Kelimeler: Finite-time stability, Fractional-order complex-valued neural networks, Memristor, Proportional delays, MITTAG-LEFFLER STABILITY, EXPONENTIAL STABILITY, VARYING DELAYS, SYNCHRONIZATION, DYNAMICS, CRITERIA, CNNS
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

In this paper, finite time stability analysis of fractional-order complex-valued memristive neural networks with proportional delays is investigated. Under the framework of Filippov solution and differential inclusion theory, by using Holder inequality, Gronwall inequality and inequality scaling skills, some sufficient conditions are derived to ensure the finite-time stability of concerned fractional-order complex-valued memristive neural networks with fractional order alpha: 0 < alpha < 1/2 and 1/2 <= alpha < 1. In the end, two numerical examples are provided to illustrate the availability of the obtained results.