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

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.