Enhanced Admissibility Criterion of Singular Systems with Time-Varying Delays via Free-Matrix-Based Integral Inequality

This study aims to achieve an enhanced admissibility criterion for singular systems with time-varying delays. Through state decomposition approach, we improve the computational complexity of admissibility analysis by separating the singular system into a differential subsystem and an algebraic subsystem. We obtain a less conservative admissibility criterion by further including the relationship between the state variables of the subsystems and by constructing Lyapunov-Krasovskii Functionals(LKFs) containing the state vector and its derivative in the double integral term. The admissibility criterion is represented in terms of linear matrix inequalities utilizing the integral inequality that estimates the upper limit of the integral term containing the state vector and its derivative. The comparison with prior works using a numerical example confirms the superiority of the proposed admissibility criterion.