Stability estimates for a class of neutral type systems with distributed time-varying delay components

Altun Y.

Advances in Continuous and Discrete Models, cilt.2025, sa.1, 2025 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2025 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1186/s13662-024-03817-4
  • Dergi Adı: Advances in Continuous and Discrete Models
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: Estimates for solutions, LKF, Neutral type systems, Stability, Time-varying delay components
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

This paper investigates new stability estimates for a class of neutral type systems with distributed time-varying delay components. Initially, an appropriate Lyapunov–Krasovskii functional (LKF) is constructed to generate some solution estimates for the considered system. Then, using the estimates obtained in the employed method framework, it is determined whether the solutions are stable or not. The stabilization rates of the solutions at infinity are discussed in the context of asymptotic and exponential stability (ES). Finally, two numerical examples with simulations are presented to demonstrate the applicability of the proposed method on the current results.