linw:
I have never expected to be notified of outages as I know that is not reasonable as outlined above.
I just would like the router to recognise the Internet is MIA and reboot itself but, as Aredwood says above, this may not be possible.
So, another option is to have a scheduled Internet check followed by a reboot if needed.
With the help of cleverer people than me, I have a vbs script that can reboot the router if the Internet ain't there.
But, question, is there any security risk if LAN access for Telnet is enabled on the router?
Ask those cleverer people if they could get it to do a DHCP release/renew. That should involve no outage, so you could even do it on a schedule (e.g. every 15 minutes) rather than checking if the internet was there or not.