Robust stochastic stability of ICPT system under small Gauss random excitation

In order to study on the robust stochastic stability of inductively coupled power transfer system, a mathematical model of the ICPT system with small Gauss random excitation is constructed firstly. And then, the relevant stability criteria are obtained via employing stochastic differential equations theory. Then the effectiveness of the obtained results is verified respectively and shows that the robust stochastic stability of the ICPT system is not effected when uncertain parameter varies within a given range. Besides, the influence of the small Gauss random excitation is analyzed and results of simulation indicate that the small Gauss random excitation has a significant effect on the stability of the ICPT system. And the stability of the ICPT system becomes worse with the increase of the intensity of the random excitation.