Is there a name for a deck that is both controlling and aggresive?
Aggro control. It's a hybrid type. I'd say mostly every deck in Standard Format is Aggro Control. The game designers (Like Mark Rosewater and Zac Hill) are on the record stating that the notion of Aggro -> Control -> Combo isn't true, and really never has been.
http://www.wizards.com/Magic/Magazine/Article.aspx?x=mtg/daily/ld/207
Fish is an example of aggro control.