Exponential Stability of a Repairable System with Early Standby Activation

In this paper, the repairable system solution's exponential stability was discussed. By the method of strong continuous semi-group, the paper analyzed the restriction of essential spectral growth bound of the system operator. The essential spectral bound of the system operator is discussed before and after perturbation under certain condition. The results show that the dynamic solution of the system is exponential stability and tends to the steady solution of the system.