Discussion on the solutions to nonlinear singular systems with delay via LyapunovKrasovski approach

Altun Y.

Nonlinear Studies, cilt.31, sa.4, ss.1053-1066, 2024 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 4
  • Basım Tarihi: 2024
  • Dergi Adı: Nonlinear Studies
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.1053-1066
  • Anahtar Kelimeler: Estimates for solutions, LKF, NSSs, Stability, Time-varying delays
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, some qualitative behaviors of nonlinear singular systems (NSSs) with time-varying delays are investigated. By means of the Lyapunov-Krasovski functional (LKF) approach, some solution estimates for the considered systems are generated. The obtained solution estimates allow us to evaluate some qualitative behaviors of the solutions. Several simple examples with simulation are given to show the feasibility of proposed method on current results using MATLAB software. In this paper, we expand and improve some of the results in the related to literature. 2010 Mathematics Subject Classification: 34K20, 93C10.