Maybe the screws are under rubber caps. Lift the decorative plastic pieces or rings with a flat screwdriver, to find screws under it. Keep searching and don't give up!!! (sorry, I would be more specific, but my english needs more vocabulary)
Hey Nigel, you're right in the fact that Phillips will never be like JBL, Technics, AKAI or something from the "Made in Japan" era... But hey! the OP doesn't deserve that words
I think its a good system for the average joe.
For example, I have seen a "Panasuanic" (chinese counterfeit of Panasonic)... Man! that's REAL CRAP!