Example, If a SLQ instance stops; can SAM force another service to stop (watchdog function)? Is there a blog or whitepaper on this?
You would want to make a custom alert and make sure that the trigger conditions are very exact so that it doesn't try and stop the service on the other host because of a false positive.
In that custom alert, you could add an alert action > Execute an external program. You'd have to call a custom script to stop the associated service on that server.
Obviously, this is very high level without knowing the specifics of the other node you want to stop services on.