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Guaranteed cost control for uncertain nonlinear systems with time-delay

Guaranteed cost control (GCC) is considered for a class of uncertain nonlinear systems with time-delay. By using the linear matrix inequality (LMI) approach sufficient conditions of the existence of the GCC law are given, and the designing procedure of the control law is proposed. The closed-loop control law is robustly stable and the cost performance index is less than a given upper bound. Furthermore, a convex optimization problem with LMI constraints is formulated to design the optimal guaranteed cost controller for minimizing the cost of the closed-loop uncertain systems.