I left my PS3 unplugged all night. This morning, I plugged it in and turned everything on and it worked fine. Some observations that may be relevant:
1. Yesterday, when I turned the TV and receiver on with the PS3 OFF, the TV displayed a black screen with the "no input detected" screen intermittently displayed
2. Yesterday, when I turned the PS3 ON, the screen would flash blue then go back to black. The display on the Onkyo receiver would indicate that a signal was present, but there was never any sound or picture.
3. Today, after plugging the PS3 in, but with it still in OFF, the TV displayed a blue screen
4. Today, after turning on the PS3, it worked like normal.
Hopefully, this is only a glitch and won't happen again.