My 3 Grid-Tied inverters do not behave as you describe. They will attempt to produce as much power as they can from the available sunlight, and if I am not consuming it in the house and the grid is too weak to take it, the voltage will climb until it hits the limit and error. The they restart after a minute and the process repeats.
In my inverters, the settings are available to change and I have cadenced them so that Inverter 1 first shuts off, Inverter 2 is set 1 volt higher, Inverter 3 is set yet another volt higher.