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The design of guaranteed cost controller of discrete-time uncertain multiple time-delay systems

In this paper, The criterion conditions of robust stability based on linear matrix inequality (LMI) are obtained for the parameter uncertainty systems with multiple time-delay system. The guaranteed cost controller with memory state feedback is designed for the parameter uncertainty systems with multiple time-delay and state delay, where the controller parameters can be given by the solution of an LMI. The proposed results are illustrated through an example.