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Memoryless State Feedback Control for Uncertain Nonlinear Time-Delay System

The robust control problem for a class of uncertain time-delay systems is investigated. The systems include multiple time delays and uncertain nonlinear functions. According to the input matrix, the system is decomposed into two subsystems. The linear virtual control law is designed for the first subsystem by solving the LMI. Then, by constructing a proper Lyapunov–Krasovskii functional, the memoryless state feedback controller is developed and the closed-loop system is proved to be asymptotically stable. Simulations are presented to verify the effectiveness of the proposed method.

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