On qualitative behaviors of nonlinear singular systems with multiple constant delays

Authors

  • Cemil Tunc Department of Mathematics Faculty of Sciences Van Yuzuncu Yil University 65080, Campus, Van –Turkey
  • Abdullah Yiğit Department of Mathematics Faculty of Sciences Van Yuzuncu Yil University 65080, Campus, Van –Turkey

Keywords:

Qualitative behavior, singular systems, multiple constant delays, impulse-free, admissibility, Lyapunov-Krasovskii functional, integral inequality matrix, LMI

Abstract

This paper deals with some qualitative properties of a class of nonlinear singular systems with multiple constant delays. Via the Lyapunov-Krasovskii functional (LKF) method and integral inequalities, we obtain some new sufficient conditions which guarantee that the considered systems are regular, impulse-free and exponentially stable. Two numerical examples are given to illustrate the applicability of the obtained results using MATLAB software. By this work, we extend and improve some results of the past literature.

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Published

2021-08-10

Issue

Vol. 16

Section

Vol. 16, No. 1, (2022)

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