LEGO did breifly offer a radio controlled system, but it is long discontinued, and is not discussed much. I have always thought a solid radio controlled system would sell like hotcakes, but my assumption has always been that it would compete with the Mindstorm systems, and while it would be very fun, it wouldn't promote education in the way Mindstorms does. Mostly I just had fun building this one. I've ordered some bigger Power Function motors to make a faster car, and I'll post a video of the results when the new motors come in later this week. Thanks for the link!
PowerFunctions are separate from the NXT and EV3 (NXT's next gen). NXT has had Bluetooth for years. Communication between NXT's, PCs and Android devices exist. IOS devices don't play well in this mode.
Last fall LEGO released the EV3 which runs Linux can support adding a WiFi dongle in addition to Bluetooth. I believe iOS devices work better with this version.
I did not know that LEGO did not have wireless remote for its toys so far. I guess that LEGO should also have brought WiFi connectivity to its toys and some interesting apps for the kids to control the toys from the smart phones. Now a days the kids love smart phones/tabs to play with more than playing with toys. Smart phone app controlling the toys through WiFi would have been interesting for the elders as well. This could very well be implemented for the railway toy sets!!! I would love to have one than!! :)