Need a LOT more info here?
How do you know the router is connected to the Internet. Routers can't speak and tell you.
On Windows? Open a CMD Prompt and enter 'ipconfig /all' and copy and paste it in a reply please.
How did you try to update your firmware? Also, what f/w do you have and what did you try to update it to? Please provide steps including where it was d/l'ed from, how you unzipped it and to where, how you tried to update the f/w including all steps you did.