There was no driver or such available so I changed the video card in the new machine. The monitor now shuts down.
Used to have a Dell Dimension computer (Win XP w/SP 1 & 2) and when I shut it down, the monitor would also auto shutdown, and the pilot light on the monitor would change from green to yellow. This worked with an original Hyundai CRT monitor and more recently a Dell SE198WFP monitor. I've now switched to a non-Dell computer. The SE198 monitor no longer shuts down when the computer is shut down. Is there any driver update or fix that would restore the monitor auto shutdown after computer shutdown?