Delay-Dependent Stability Analysis of Singular Linear Continuous-time System

This paper deals with the class of singular continuous systems. By decomposing the singular linear system with time-delay into slow and fast subsystems, LMI-based delay-dependent stability and stabilization conditions are established, and an LMI-based algorithm to design a memoryless state feedback control that stabilizes the system is provided. Two numerical examples are worked out to show the usefulness and validness of the theoretical results.