No it doesn't stay on it sometimes makes a popping sound then loose power and sometimes it just doesn't nothing I emailed Paradigm and they it sounds like the amp is faulting and I Would have to send it in to see if they are able repair it
Contrary to what the dealer told you the amp is fried.
It is probably not worth the cost of repair. If you really like it and are handy, you could either modify it to take an off the shelf Bash plate amp, or buy and amp and convert it to a passive sub.
If that is not what you want to do, then I would recommend an upgrade to a better sub.
I would say that sub amps are the most unreliable devices on the AV scene, and some are frankly down right dangerous.
Personally I would never leave home with one of those subs plugged into the mains. I would pull the plug every time before going out of the door.