this is happening on both my playstation and my brothers. we have 4 controllers between the two of us and they all respond in the exact same way with each system. they are in two different rooms, and we have even tried them in the living room with the system in various positions. constant imput lag makes the systems unable to use for the simplest tasks like navigating through menus.
in my experience, i feel this to be a firmware issue as my system was working perfectly fine before updating to 1.50. while the network was down on launch day i was messing with my system settings after taking the ps4 out of the box and did not experience input lag once while i was messing around with it. after being unable to update on the network i updated via USB for both mine and my brother's system and then everything hit the fan. menus became unable to navigate due to lag, specifically when the system begins to be put under stress such as displaying "What's New" or the Friend's List.
If you're thinking about sending in your system for support, I would suggest waiting a short time for a patch update, which is what i will be doing from my experiences with the firmware update. if the issue is addressed and everything is still wonky after that these things are getting shipped out immediately before i throw them out the window.
Solidarity in numbers! I'm also glad to see this thread getting attention. I wish a mod would move it back to system support and sticky it. I'm just trying to load it up with comments and and status updates until then. I can't stress enough how this is a console problem and not a peripheral issue. And it's NOT an issue with bluetooth interference either. I tested my vita connection to my playstation (which was garbage) and my vita connection to my cell phone (which was great). Same environment with no changes. So keep this topic relevant guys, or else it will just get buried.
your guess with the controllers is correct. our two systems both throw the controllers in their own unique way, mine works for a bit before controllers disconnect and lag and my brothers is instant from the moment it connects, when syncing a controller from one system to another they malfunction in accordance with the system, this problem is not from the controllers.
my initialization attempts proved fruitless, perhaps you have better luck. i did not attempt factory default resets though