Hyper-V: Monitor and restart unresponsive hyper-v guests

Hyper-V: Monitor and restart unresponsive hyper-v guests

I'm looking for a simple solution to monitor and restart unresponsive
Hyper-V guests. I only need this solution for a handful of machines, and
only around ten guests. It's mostly Ubuntu guests that run out of memory
and become unresponsive.
I don't mind if the system works on a simple ping (rather than using
heartbeat). I would consider simple scripts that run on the host or
another machine.
I guess the solution would need to attempt to stop the unresponsive VM
gracefully for a while, and then to hard-stop it if that didn't work,
finally to start it again.