A self-driven synchronous DC-DC converter (100) includes an input circuit (101) having a switching device (110) for selectively generating a pulsed DC input voltage responsive to an input switch control signal, the pulsed DC input voltage being one of a plurality of DC voltage pulses; an output circuit (113) coupled to the input circuit (101) and including an active device (114) having device input, device output, and device control nodes, the device control node responsive to a control voltage for selectively varying the conductivity between the device input node and the device output node; and a control circuit (115) coupled to the device control node and configured for generating the control voltage responsive to the pulsed DC input voltage. In the converter (100), the control voltage is synchronized with the pulsed DC input voltage and varies non-linearly during an interval between the DC voltage pulses for selectively reducing the conductivity in accordance with a non-linear function.