Sending dread in to the hearts of gardeners and house buyers alike now residential land owners upon which the dreaded vegetation grows can be faced with an antisocial behavior order (ASBO) and fines for not dealing with it promptly according to a Government briefing document.
http://www.bbc.co.uk/news/uk-30110858
For a full list of these delightful invaders:
https://www.gov.uk/japanese-knotweed-giant-hogweed-and-other-invasive-plants