From the video it seems like Teddie specializes in ice spells, while Aigis can use her fabled Orgia mode. Though the game is different than its source material, much of the battle gameplay is similar to P3 and P4. It allows mirrors Etrian Odyssey in its dungeon crawling aspect.
While Persona has a strong cult following in North America, the game is still only slated for a Japanese release. It comes out June 5th and is exclusive to the Nintendo 3DS. You can check out the Aigis video here and the Teddie video here.