.It can take a variable input voltage. Limit is determined by the peak inverse voltage limit of the power transistor switch. My answer is from my knowledge many years ago, but may be useful. Newer designs may have a workaround, but I don't track it much any more.
A inverter does not provide the output voltage over the input voltage of AC or DC in general.
And the output current is limited by Power Semiconductor's rated current installed inside of inverter, so the input voltage is also limited by the inverter capacity.
the dynamic change of DC voltage could be compensation by the control algorthim such as DPC VOC in the grid connected system. However , the dynamic change of DC-voltage would deteriorate the performance of the inverter.