Improved Admissibility Analysis of Singular Time-delay System

Abstract

This paper presents an improved admissibility analysis of singular time-delay system. The redundant matrix variables are diminished by the state decomposition approach that divides the singular time-delay system into differential equations and algebraic equations which results in the two parts of state vectors. Then, to obtain less conservative admissibility criterion, Lyapunov Krasovskii functional(LKF) that contains the state and its derivative term in double integral is constructed. Furthermore, additional state vectors are included to fully exploit system information. The admissibility criterion is formulated in linear matrix inequality and the effectiveness of the result is verified with some numerical examples in the literature.