Historically the PlayStation consoles, while all decently powerful, have faced strong competition when it came to multiplats.
PSOne: The Sega Saturn dominated in 2D (due to more RAM, and RAM cart expansion in 2D fighters) while the N64 offered some 3D filters the PSOne didn't at the time. PSOne was the most balanced machine out of the three and won its generation war, but it didn't excel in power (of course it did beat the Panasonic 3DO in power, though).
PS2: While it beat the Dreamcast, both Xbox and Gamecube were released later and were considerably more powerful. Which didn't stop PS2 from being what it was, it just wasn't the one with the prettier multiplats.
PS3: A multitude of times more powerful than Wii, but Xbox 360's better GPU and unified RAM made PS3's life on multiplats rough in its earlier days. But this race was very close and things improved after devs got to grips with the PS3 "unique" hardware, with some titles being better on PS3 too.
PS4: This time around Sony didn't launch first - Sony waited and hit both Wii U and Xbox One's weak spots for massive damage. Sony did capitalize on gaming only focus and chose very powerful GPU and very fast unified RAM. Every game face-off analysis points towards PS4 rendering far more pixels than Xbone (often a sub1080p Xbone x 1080p PS4 scenario). Wii U doesn't even come close to touching the PS4 power, left behind just above PS360's league.
Will this trend continue towards the gen? If so, then the predecessors of PS4 will be throughly avenged by their overpowered newer brother.













