Good day @Jofbo,
There's many ways to differentiate between the connected computers, at the end of the day the EB is a computer like any other. Basically, it depends on the usage you expect of this identification.
You could differentiate them by ip (forcing a specific IP for each one) or MAC for the simplest way to do it. Personally the MAC address approach is the one I'd go with, at least without more information.