Various systems and methods for providing soft-start and soft-stop to an asymmetrical half-bridge converter and a power supply employing such systems or methods. The power supply includes a power train including an asymmetrical half-bridge converter having an energy storage device coupled across a complementary switch thereof. In one embodiment, a conductive path is coupled across the energy storage device to substantially discharge the energy storage device and thereby reduce current stress in the complementary switch when the converter turns on. In another embodiment, a controller, coupled to the complementary switch, provides a drive waveform to drive the complementary switch. The controller increases a duty cycle of the drive waveform as the converter turns off.