just like the steering wheel does not turn the car, and the rocket engine doesn't put the rocket into space.
The controller controls the input. The state changes, because the control input is changed.
The thermostat is not a timer.
The controller controls the input. The state changes, because the control input is changed.
The thermostat is not a timer.
If you never met one of those people that say "hey, it's too hot here, let me lower the thermostat" just after they turn the AC on, you are a very lucky guy.