The datasheet is very clear on the output capacitance requirements - the ESR should be between 0.05 and 1.5ohm. It is easy enough to find a capacitor to meet that requirement.
However, the load for this regulator is an IC that needs decoupling capacitors on its power pins (100 MLCs if I believe the datasheet!).
Now the LDO output sees the parallel load of all those extra caps, which will reduce the effective ESR way below 50mOhms.
Do I include those decouplers in the calculation of the effective ESR seen by the regulator? Since they will be located close to the regulator, probably within an inch, and are connected between low inductance power and ground planes, I tend to think so.
In that case, is there some kind of compensation I can add to the LDO to mitigate the issue. The obvious (and possibly naive) choice of a small value resistor between the LDO and the load seems inelegant to me.
Appnote SNVA167, which confirmed my suspicions is not helpful either. It suggests building a board and measuring the effect, but that is not practical for our timeline versus designing it right the first time.