Both got their main controller and console ideas from the sega dreamcast. That system was way before its time, memory cards with gameboys attached, online gaming (massive multiplayer AND first person shooter WHAAT?!?), and check out where the stupid nintendo wii controller was stolen from.
Even in the dreamcast prototype they had the same gun attachment to the remote for house of the dead.
Dreamcast was also the first controller with triggers (thank gaming gods for that, pressing a button to shoot and gas it is boring, triggers are much more like pedals, and well gun triggers).