Transgression - Better, rebellion. A revolt against a ruler leads to rapid changes of dynasty (the whole history of the kingdom of Israel was a proof of this), but “with men of understanding and knowledge thus shall he (the prince) continue.” True wisdom will lead people to maintain an existing order. The King James Version implies that political disorders may come as the punishment of any national sin.
The state - Better, it (the land) shall surely prolong its days in stability.