Some details have been listed by Amazon for the upcoming Hori PS4 and PS3 Fighting Stick Mini 4, which you can preorder with this link. You can check out a few photos of the arcade stick below this paragraph.
As you can see, the product is designed to be quite small, measuring at 8 inches by 6 inches. With that said, it will be offering the same buttons, comfort and other features (including turbo) as the standard sticks. You can check out the full product description of the Fighting Stick Mini from the Amazon listing below:
Immense fun in a compact and convenient package! The HORI Fighting Stick Mini 4 for PlayStation 4 and PlayStation 3 features a full 8-button layout and a proper micro switch activated joystick yet is small enough to easily store and transport (product is approximately 8” x 6”). Despite its small size, the Fighting Stick Mini 4 is surprisingly comfortable with ample room to rest your wrists, and the rubberized feet grip firmly to smooth surfaces for stability. This wired controller features a long cable, assignable Turbo, and other convenient functions. Perfect for fighting games, arcade style games, and much more! Officially Licensed by SCEA.
The Hori Fighting Stick Mini 4 will be released in North America on the 14th of December.