Here is a short list of both author's peer-reviewed research papers on the topic.
http://www.artandscienceoflowcarb.com/research/
He suggested I try working out while fasting. Just don't eat 3-4 hours before working out, and have a high quality protein 'meal' (I drink a shake) after the workout.
So far it's been working for me. And I've been working out since I was a young teenager- some three dozen years now.