The "PlayStation App" for mobile devices sounds A LOT like Xbox's SmartGlass; it's like the same damn thing. And that new PS Eye camera is essentially a clone of Kinect, just with a higher resolution. Not very innovative there, Sony.
Sony has never been known for innovation, especially in gaming. They tend to take what another company did and either clone it or try to improve it in some way. They were the ones that first did a camera controller for a home console I believe though with the PS EyeToy for the PS2. Then they had the PS Eye for the PS3. Now they have the PS4 Eye. So technically, they are improving on their own design by borrowing some of the things in Kinect and improving on those as well.
And yes, the PS App for iOS and Android look very similar to Smart Glass, though it sounds like Sony wants to make it where remote play works on there as well.