Well on the plane I fly, E170/E190, in an engine failure on T/O I don't have any say in the matter of increasing thrust on the live engine.
The Automatic Takeoff Thrust Control System will command RSV thrust if it detects an engine failure on take off, go-around or windshear.
If I use TO-3, no flex, max thrust is 11800 lbf. An engine failure will boost thrust to 13000 lbf, without me taking any action.
Do other aircraft have a similar system?