Your question brought some questions in my mind though.
If we go with the definitions in the Wikipedia article on
active suspensions, active suspension would be suspension that can actually add forces in the suspension system, to help in keeping the car more level to enhance performance or comfort. Semi-active would be suspension that only changes the stiffness of components to try to achieve the same purpose.
So it made me think, what would active sway-bars be? If we consider that systems like ABC, or the system on the McLaren, do a lot more than just control body roll.
And aren't adaptive and semi-active dampers essentially the same thing, since they affect damper stiffness dynamically?