Further Results on the Admissibility of Singular Systems with Delays

Yigit A., Tunç C.

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, cilt.17, sa.1, ss.227-242, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 1
  • Basım Tarihi: 2022
  • Dergi Adı: APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.227-242
  • Anahtar Kelimeler: Admissibility, Impulse-free, Lyapunov-Krasovskii functional (LKF), Neutral system, Regular, Singular system, DIFFERENTIAL-EQUATIONS, STABILITY ANALYSIS, TIME
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this article, admissibility problem for a kind of singular systems with delays is studied. Firstly, the given singular system with delays is transformed into a neutral system with delays. Secondly, new sufficient criteria are obtained on the stability of the new neutral system by aid of Wirtinger-based integral inequality, linear matrix inequality (LMI) and suitable LyapunovKrasovskii functionals (LKFs). The obtained criteria are valid for both of the systems. At the end, two numerical examples are given to illustrate the applicability of the obtained results using MATLAB-Simulink software. By this article, we extend and improve some results of the past literature.