It is a Sony wired dualshock 1 controller. You know, the ones that are grey and were used with the PS1.
I think this is how they go:
PS = Grey and no joysticks
PS1 = Grey with joysticks = Dualshock 1
PS2= Black with joysticks = Dualshock 2
PS3 = Black and wireless = Dualshock 3