Tinstaafl has answered 'who has control's' question well.
All I ever remember is that the down going blade creates more thrust than the up-going blade! Works just the same on single engines as well!
Whilst learning to fly, the hardest part for me to understand was why I needed different feet (well, left or right!) pressing on the rudder at varying airspeeds!
Now that I fly fairly passable standard level aeros, I feel myself thinking less about this and compensating naturally as a matter of course and have even got my head around the effects of gyroscopic precession on the prop when I pull or push to the vertical.
I have had lectures about the 3 gyro forces affecting a spinning aircraft; A, B and C and must confess that at this embryonic stage in my understanding of aeronautics, that it is easier to fly the aircraft than it is to master the math behind the 3 spinning components (prop, fuse and wings!)
Stik