Delay-dependent Stabilization of Singular Linear Continuous-time Systems with Time-varying State and Input Delays

The descriptor integral-inequality method is a new method to deal with the delay-dependent stabilization problem for singular linear continuous-time systems with time-varying state and input delays. Delay dependent stabilization conditions are established by using the Lyapunov-Krasovskii functional approach combined with an descriptor integral-inequality. An LMI based algorithm to design a memoryless 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.