The best anti shake technology is a fast shutter, which means collecting lots of light, which means a lens with big hole in the middle of it
Which means a DSLR.
Normally, in bright light, I can get 1/2000 to 1/4000 sec speed with a DSLR.
With a standard pocket camera one is running at about 1/200 to 1/400 which is massively slower. The best is perhaps a Ricoh Caplio which has antishake but it cannot get over the 1/400 speed. I had one of those for a while.
Anti-shake doesn't work properly. It is a software mechanism which uses accelerometers to detect
normal hand shake and it shifts around the area of the CCD from which the image is collected, to compensate for the motion. The spectrum of this compensation is quite limited. At the slow end, there has to be a cutoff otherwise you could not move the camera around
At the fast end, it doesn't work because it doesn't work fast enough.