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

Cemil Tunç, Abdullah Yiğit


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.


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

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