On the exponential admissibility of singular systems with multiply variable delays


Yiğit A., Tunç C.

Palestine Journal of Mathematics, vol.12, no.2, pp.430-449, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 2
  • Publication Date: 2023
  • Journal Name: Palestine Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.430-449
  • Keywords: Exponential admissibility, Impulse-free, LKF, LMI, Multiple variable delays, Singular system
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

We investigate exponential admissibility of singular systems with multiply variable delays. We give new criteria such that the systems are regular, impulse-free (IF) and exponentially stable (ES). The techniques of the proofs are based on the Lyapunov-Krasovskiĭ functional (LKF), convex polyhedron methods and linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the obtained results. Using MATLAB-Simulink software, the trajectories of the solutions are provided. This study generalizes and improves certain results in the present literature.