New results on admissibility and dissipativity analysis of descriptor time-delay systems

This work investigates the admissibility and dissipativity of descriptor systems with state delay. A novel asymmetric Lyapunov-Krasovskii functional (LKF) is constructed to obtain delay-dependent conditions. According to strict linear matrix inequalities (LMIs), new criteria for admissibility and dissipativity are proposed. The main advantage of our method lies in that the removal of the positive definiteness of some symmetric matrices greatly reduces the conservatism. Three numerical examples are presented to verify the merits of our results. (C) 2021 Elsevier Inc. All rights reserved.

Automated summary

This work investigates the admissibility and dissipativity of descriptor systems with state delay. A novel asymmetric Lyapunov-Krasovskii functional is constructed to obtain delay-dependent conditions. New criteria for admissibility and dissipativity are proposed based on strict linear matrix inequalities. The main advantage of this method is reducing conservatism by removing the positive definiteness requirement of some symmetric matrices. Three numerical examples are provided to verify the effectiveness of the results.