Stochastic resonance in a DC-DC converter with colored noise

A DC-DC converter subject to colored random telegraph noises is considered. By using the linear-response theory and the properties of the random telegraph noise, the exact expressions have been found for the average output voltage. It is shown that the averaged output voltage is a non-monotonous function of the correlation time of the multiplicative noise, and it varies non-monotonically with the intensity of the multiplicative noise as well as the frequency of the driving signal. Moreover, the average output voltage depends on the system parameters.