Input-Output Admissibility Analysis of Continuous Descriptor System with Time-Varying Delay**The Work Is Supported by Fondo Nacional de Desarrollo Cientifico y Tecnologico - Fondecyt, Chile, Under Grant N: 3190378, and K. a. Barbosa Has Been Supported by Universidad de Santiago de Chile, Dirección de Investigación Científica y Tecnológica (Dicyt), Under Grant 061813ab

This paper deals with the input-output admissibility analysis of the continuous descriptor system with a time-varying delay. A two-term approximation transformation-model has been used to convert the original system into two interconnected subsystems. Based on the scaled small gain theorem and a new Lyapunov-Krasovskii functional, a delay-dependent sufficient condition has been presented to ensure that the time-varying delay descriptor system is input-output stable, regular, and impulse free. The derived conditions are given in a set of linear matrix inequalities. Finally, an example has been used to test the merit and validity of the proposed method. © 2021 American Automatic Control Council.