New results on the asymptotic stability of nonlinear Riemann-Liouville q-fractional singular neutral systems with distributed constant delays
Nonlinear Studies, cilt.33, sa.2, ss.519-536, 2026 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 2
- Basım Tarihi: 2026
- Dergi Adı: Nonlinear Studies
- Derginin Tarandığı İndeksler: Scopus, Aerospace Database, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Sayfa Sayıları: ss.519-536
- Anahtar Kelimeler: Asymptotic stability, linear matrix inequality, Lyapunov-Krasovskii functional, Riemann-Liouville q-fractional singular neutral systems
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
The current paper investigates the asymptotic stability problem of nonlinear Riemann-Liouville (RL) q-fractional singular neutral systems with distributed constant delays. By using linear matrix inequalities (LMIs) and developing suitable Lyapunov-Krasovskii functionals (LKFs), new conditions for asymptotic stability are derived. The approach used in this study relies on directly calculating the quantum derivatives of the LKFs. Two theorems and their corollaries are developed to reveal the main theoretical contributions of the current study. Two illustrative simple examples are given to demonstrate the validity and computational efficiency of the obtained results.