In the datasheet for the TPS7A7001, they show stability curves based on output capacitor ESR and output current. It looks like an ESR of 0.1 ohm would guarantee stability across the full output current range; however, the ceramics being used would result in an ESR much lower than that.
My question is: What is the proper connection method assuming that there would be a COUT capacitor at the regulator, but also additional bypass capacitors on the voltage rail that the TPS7A7001 is creating? Should I put a 0.1 ohm resistor in series with the output of the TPS7A7001 and then connect any output capacitors (assuming I can deal with the voltage drop created by the 0.1 ohm resistor)?