Delay-dependent stabilization of singular linear time delay systems based on memory state feedback control

In this paper, the delay-dependent stabilization problem for singular linear time-delay systems is studied by designing a delay-dependent memory state feedback controller which makes the singular linear time-delay systems regular, impulse free and asymptotically stable. Firstly, the lemma of descriptor integral-inequality is derived. Secondly, delay dependent stabilization conditions are established by using the Lyapunov-Krasovskii functional approach combined with a descriptor integral-inequality. Thirdly, an LMI based algorithm to design a memory state feedback control that stabilizes the system is provided. Finally, a numerical example is presented to illustrate the effectiveness and the availability for the design.