On the asymptotic stability of singular systems with a constant and two time-varying delays

Authors

  • Cemil Tunç
  • Abdullah Yiğit Van Yuzuncu Yil University, Van

DOI:

https://doi.org/10.30495/jme.v15i0.2167

Keywords:

Asymptotic stability, delay decomposition approach, integral inequality matrix, linear matrix inequality (LMI), Lyapunov-Krasovskiĭ functional, Singular system

Abstract

In this paper, asymptotic stability of zero solution of a kind of delay singular system is investigated. Based on the delayed-decomposition approach, two  new results are obtained on the asymptotic stability of the considered system by using of some well-known inequalities and Lyapunov- Krasovskiĭ functionals (LKFs). Finally, two examples with numerical simulation are given to illustrate effectiveness of the proposed method by MATLAB-Simulink.

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Published

2021-11-25

Issue

Section

Vol. 15, No. 5, (2021)