I think control is the wrong word, though there is such a thing as demonic possession if the host is willing or does not have the faith in God to be protected. Controlling your mind would do very little good to Satan, since his goal is to get you to leave God and stray away. Control doesn't really accomplish that because that would be presumably against your free will.
Satan uses manipulation and lies to trick you into doing what he wants. It's a form of control, but it breaks down your free will, and causes you to CHOOSE to follow him or do bad things. It's the choice that matters.