Input-Output Admissibility Analysis of Discrete Descriptor System with Time-Varying Delay

This paper deals with the problem of input-output admissibility analysis of descriptor systems with time-varying delay, where besides stability also, regularity and causality are considered. By using the matrix decomposition technique and auxiliary system, a new transformation model is obtained. Using the input-output approach, generalized Lyapunov function and introducing slack variables, a new input-output admissibility condition is proposed in terms of linear matrix inequality (LMI). Finally, a numerical example is presented to show the effectiveness and the merit of the proposed approach.