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The problem of H-infinity dynamic output feedback control for switched systems with delayed perturbations is considered. Based on the H-infinity control theory and Lyapunov function method, a designing method of H-infinity dynamic output feedback controller for switched system with delayed perturbations is proposed in terms of the linear matrix inequality. A switching strategy is established under this controller, which ensures the closed-loop system asymptotic stability and a prescribed H-infinity performance level. The simulation results show the effectiveness of the designed controller and switching strategy.