[quote=@Member 00492]
* You know what I don't remember ever seeing in the Beyond Universe? ANY mention at all of ARKHAM. I think that should change soon. 
[/quote]

The original Asylum was partially demolished and allowed to fall into decay sometime before the 2030s as seen in Batman Beyond: Return of the Joker. While the Asylum itself didn't feature in Batman Beyond there was an episode in the first season in which Terry referenced it. It was a passing comment to one of the villains, something along the lines of them "needing a place in Arkham". The context seemed to indicate that the Asylum was still active and used to house the criminally insane. I'll see if I can find the specific episode and quote when I've got some time.

EDIT: Found it.

Batman Beyond Season 1 Episode 14 - Splicers

Cuvier: You see splicing isn't just style Batman, it's lifestyle. Something that will literally change the world.
Terry: Have you considered checking into Arkham for a little R&R doc? Because quite frankly, you're nuts. 

Did the Beyond Robin suit grant any heightened abilities like the Batman Beyond suit does?