Disconnected agent email

Does Anturis send me an email when an agent becomes "Disconnected"? For example, I have 5 Windows servers as components in my site. I only want to be notified when one or more of these servers' agents is not able to contact Anturis (basically, I want to know if they lose internet access or are offline). I don't want to add monitors to them (like PING or HTTP) that would monitor connectivity to a website or server on the internet, because then I get emails about the PING or HTTP times being too long for example. I only want to know if they are simply connected to the internet. I have another internal monitoring solution that I use but won't work if we lose internet - I want Anturis to be able to tell me that we've lost internet.