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In this paper, a passivity and fault alarm-based hybrid controller is designed for a Markovian jump delayed system with actuator failures. First, a passive condition is given, and a type of hybrid controller that combines with robust and fault-tolerant controllers is presented to ensure that both the normal system and the fault system are robustly stochastically passive. Next, a fault alarm signal is proposed by choosing the alarm threshold, and this signal is used to invoke the fault-tolerant controller. Finally, a numerical example is provided to show the effectiveness of the method.