An investigation into the asymptotic stability analysis of delayed q-fractional neutral systems

ALTUN Y.

Manas Journal of Engineering, cilt.13, sa.1, ss.30-39, 2025 (Hakemli Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.51354/mjen.1575022
  • Dergi Adı: Manas Journal of Engineering
  • Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.30-39
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This research analyzes the asymptotic stability of delayed q-fractional neutral systems. By developing suitable Lyapunov-Krasovskii functionals (LKFs), certain sufficient conditions for asymptotic stability are derived using linear matrix inequalities (LMIs). The approach used in this paper relies on directly calculating the quantum derivatives of the LKFs. Lastly, we provide two numerical examples to demonstrate how our theoretical findings can be applied.