I think they do..I think its kind of like facial expressions for us. You can tell how they feel by what their tail is doing, so I think they do control it..but also its based on their mood so they control it to an extent. Like for instance, if we get angry our face shows it..same thing with a cat. Their tail shows their mood.
I think so...Alix has a particular way of waving just the top half of her tail when she's thinking, or wanting something...my cats have different tail movements when they are mad, and when they are feeling playful
I'm going to have to be the dissenting opinion here... while I think they have some control of their tails, a lot of times, Wonton chases his own tail, and the way he acts, its like he doesn't quite have control of it - he'll grab it with his paw, it'll flick away, he'll grab it again... makes me wonder how much control of it they really have. R and I joke that his tail "has a mind of it's own".
I always wondered that too! Kahu will walk past us and he will put his tail on our legs and he will kind of rub them with it. Peedoodle sorta hits us with his tail. Its quite cute. I also wondered about the chasing their tails too - maybe they are just bored!