Robust stability for uncertain singularly perturbed systems with time delay
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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.