On global stability of nonlinear systems with unbounded and distributed delays and a dominating non-delay term

Braverman E., Tunç C., Tunç O.

Communications in Nonlinear Science and Numerical Simulation, cilt.143, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 143
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1016/j.cnsns.2025.108590
  • Dergi Adı: Communications in Nonlinear Science and Numerical Simulation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Boundedness, Global stability, Lyapunov–Krasovskii functional, Matrix measure, Systems of nonlinear delay differential equations, Time-varying delays
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

A system with, generally, unbounded and non-continuous delays is considered as a perturbation of a linear non-delay system. Boundedness of solutions, stability, global asymptotic stability, uniform exponential stability are established with a variety of methods, including designing a Lyapunov–Krasovskii functional and integral transformations. The system incorporates a linear non-delay part and a sum of either linear or nonlinear terms, dependent on several time-variable delays. The dependency of the stability type on the delay properties is outlined and illustrated with examples.