On the stability and admissibility of a singular differential system with constant delay

Yigit A., TUNÇ C.

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, vol.15, no.2, pp.641-660, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 2
  • Publication Date: 2020
  • Journal Name: INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.641-660
  • Van Yüzüncü Yıl University Affiliated: Yes

Abstract

This paper deals with the problems of asymptotic stability, exponentially stability and admissibility for a mathematical model of singular systems with constant delay. First, the singular system is transformed into a neutral differential system. Secondly, some sufficient conditions are obtained on the stability and the admissibility of solutions of the new neutral differential system using integral inequalities, linear matrix inequality (LMI) technique and meaningful Lyapunov-Krasovskii functionals. At the end, two numerical examples are given to show the effectiveness and applicability of the proposed method and the obtained results. These results generalize the existing ones.