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

Altun Y.

Nonlinear Studies, vol.31, no.4, pp.1053-1066, 2024 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 4
  • Publication Date: 2024
  • Journal Name: Nonlinear Studies
  • Journal Indexes: Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.1053-1066
  • Keywords: Estimates for solutions, LKF, NSSs, Stability, Time-varying delays
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

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.