Delay-dependent stability analysis of singular linear continuous-time system

Abstract

The paper deals with the class of singular linear continuous systems. By decomposing the singular linear system with time-delay into slow and fast subsystems, linear matrix inequality (LMI)-based delay-dependent stability and stabilisation conditions are established, and an LMI-based algorithm to design a memoryless state feedback control that stabilises the system is provided. Two numerical examples are solved to show the usefulness and validness of the theoretical results.