On the exponential admissibility of singular systems with multiply variable delays

Yiğit A., Tunç C.

Palestine Journal of Mathematics, cilt.12, sa.2, ss.430-449, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2023
  • Dergi Adı: Palestine Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.430-449
  • Anahtar Kelimeler: Exponential admissibility, Impulse-free, LKF, LMI, Multiple variable delays, Singular system
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.