Robust stability for uncertain singularly perturbed systems with time delay

The Robust stability for uncertain singularly perturbed with discrete delay and distributed delay is discussed.The singularly perturbed system is equivalently represented as a descriptor system.Then a Lyapunov-Krasovskii function is proposed.The delay dependant stability sufficient condition is presented to ensure the singularly perturbed system to be asymptotically stable.The state-feedback controller is designed.Finally,simulation examples show the effectiveness of the proposed method.