Situation or steps to replicate this occasional or constant bug:
I became a Criminal, because I killed someone in Station-Eden and I got 300 sec. criminal status.
I escaped to Colonization hub. I re-enter back to Station-Eden, when I got still 50 seconds left with my Tackler ship.
I evaded the Military Police with my Tackler ship while under cloak, and when my cloak expired, I still had around 5 seconds of criminal status left.
After those 5 seconds already expired and I was no longer a criminal, the Police Officer still pursued me and continuously fired on me for at least 10 seconds after, until I got killed!
I believe, that it would pursue me indefinitely, since I was still hearing the combat music!
Check the criminal system for Police again, after criminal status expires!