Perform a hard reset as suggested by others on this thread, and you'll be fine. The device get's stuck on the second restart, which is just the normal restart of the device after the software already get's installed.
This is a quote from a poster over at MacRumors who claims to have spoken to Apple Tier II support:
I spoke with Apple Tier II Support (same issue with iPhone 5 and iPad Air) and confirmed this is a newly discovered issue. The above resolution was used to resolve my issue and all was fine, to include 7.1.2 successfully installing. They now have elevated this to developers. No negative affect on the installation other than a minor and temporary scare!
To address the person above about impatience, I waited over an hour and both the iPhone and iPad "froze" at the same stage of the second bar progression. First bar progression is the actual software update, second is the reboot phase. The second phase visually fails but is actually complete behind the scene. Don't waste your time with complete restore, as it is completely unnecessary.
I can confirm this as I too have spoken to Tier II, and Apple confirms this is a bug, but that a hard reset won't brick the device.
Cheers