I programmed my HDTV to shutdown after the set WAIT TIME when there is no activity/no signal from the computer hdmi interface. When my PC goes to sleep mode the HDTV shutdown automatically. Its part of the setup of the HDTV. The HDTV WAIT TIME or delay is set to 8 minutes.
My primary display a 24LCD screen goes to sleep mode when the PC is on sleep mode. When the PC wakes up the Primary LCD display wakes up.
The secondary Display HDTV i use the remote to power it up. When the PC shutdowns or goes to sleep mode refer to the 1st paragraph.