I beat the PS3 version 9 times, and put far over 1000 hours into it... I've put about 300 hours into the PS4 version, and I literally just beat it the 1st time (I'm listening to the 45 minute credits right now). On a Panasonic 120Hz plasma, too, since I saw some people ask about delays from the TV, and some people have talked about plasma problems with PS4 GTA V and delays or 'judder' (which I also haven't saw, though the game does have a tonne of aliasing and shimmer during camera panning compared to, say, Driveclub).
And I never notice any difference. If anything, the PS4 version feels better because my DS4 is brand new and the sticks are still tight, where as my DS3 sticks were a little worn and lost of some their tightness and resistance. Both games had 'input lag', if by input lag you mean analog stick dead zones and also the innate GTA momentum inertia.
Never really noticed it before... never found it unplayable, I can run and gun, chain head shots, and essentially never die no problem even with the Minimap and HUD hidden and on free aim. The controls certainly don't hinder the gameplay for me in any way, though granted I'm very 'used' or acclimatized to it now. PS4 version felt the same as any other GTA game IMO.
I mean, there can obviously be delays but it feels the same as any other version or GTA entry... You just get used to it. Also, learn to use in-combat movement by keeping R2 half-pressed for movement, turning, running and gunning. When you're in-combat, the traditional GTA momentum intertia (e.g. the weight delays and the large turning circles) are removed, and input is 1:1 (past the deadzone) and you can turn, spin on a dime, etc. Tweaking the aiming sensitivity helps a lot, too. But it's mostly just getting used to the traditional momentum intertia and the odd dead zone (which isn't innate to the DS4 because I play Driveclub daily too and there's zero dead zone). If you feel it's significantly different than the PS3 version though, I'm not sure why that is.