Sure, the DualShock Analog remote controller has been the trademark of all the Sony Playstation gaming consoles to date, including the PS3, but there are good chances that PS3 may be the last gaming console to feature the DualShock Analog remote controller.
But, apart from the DualShock Analog remote controller, another interesting point to discuss here is the remote play support, which almost looks useless on the PS3, because all you can play is the PS1 or PS2 level games. In simple terms, remote play isn’t that effective in PS3, if you want to play some of the games with very high graphics details.
It is also quite possible that PS4 may integrate a TV, Internet connection, and a controller, and allow you to remote play whenever you’ve got all these things in place.
If the PS4 were to really come without an optical media, it would make perfect sense to develop a wireless remote controller, which could be either WiFi or Bluetooth enabled.
This would in turn give rise to possibility of direct video streaming on the monitor, and there are many things, which strongly favour Sony to invest in the development of remote play in a superior manner (unlike just being an option in PS3).
Looking at the current technical levels, streaming video isn’t really something that’s too fancy, and turns out to be rather something relatively ease and very much feasible, though the level of reception will have to be boosted up drastically.
But, the biggest decisive factor in this regard would obviously be Sony’s decision to reply on optical media, because Remote Play wouldn’t be too feasible in sync with optical media – you wouldn’t really want to get up to change the disk every single time, would you?
Therefore, in light of the current development, remote play support for the PS4 looks pretty much on the cards, but it would surely depend heavily upon the other decision Sony makes in selection of design, hardware and tech specs of the PS4 finally. As of now, these are all speculations, and after all you can only speculate when Sony has decided not to even reveal a single word about the PS4.