What ecu's will run a 6l80e? I know the ls1 will not, but what model engine and year can with the ecu that will run this trans?

I am looking for a engine to buy that will run my 6l80e...

-Will the 5.3 ecu's work?
-Will the Vortec max 6.0 ecu work?

If so, what years? What is the number of the ecu that is capable?