Scripting

We have a handful of Linux machines that lose connection to their SMB file server after it patches and reboots. We used to restart them weekly with a cron job after the patch schedule but windows only restarts for patching about once once a month based on our patch schedule.  --The Sunday after the third Tuesday-- I don't know how to Cron that. 

The team likes to run big jobs over the weekend so the weekly Sunday morning reboots of all the linux boxes disrupted that. 

I am looking for a way to trigger a script to restart the linux machines only after the windows server reboots.

Can I do this with a task chain? Is there a way for the linux machines to monitor the windows server and restart a half hour after it does?