A few days ago I decided to run some Catalyst A.I. benchmarks under Linux to see what impact it had on different OpenGL games. Catalyst A.I. is a feature built into their proprietary drivers meant to further enhance the GPU's performance, particularly for gaming. This feature has long been supported under both the Windows and Linux drivers.
Catalyst A.I. can be controlled from the AMD Catalyst Control Center Linux Edition (AMDCCCLE)...
Unfortunately under Linux, AMD Catalyst AI appears useless based upon some tests ran on a Radeon HD 6570 from an Intel Core i7 3960K Sandy Bridge Extreme Edition setup with Ubuntu and the AMD binary blob.
You can find the results in full along with other details on OpenBenchmarking.org. If you've managed to see some success out of Catalyst A.I. under Linux be sure to share your findings in our forums.