These verses describe the ending of the invasion. It lists the cities that Assyria will conquer, and that Assyria would finally come to Jerusalem itself as the remaining city to conquer. Thus, the Assyrian king will “shake his hand against the mount of the daughter of Zion, the hill of Jerusalem.”
That will be the end, however. At that point Jehovah will stop the destruction and turn Assyria away. That is what happened. Assyria did conquer all of Judah and encamp around Jerusalem, but Jerusalem itself was not taken. History suggests that there may have been a treaty, but Isaiah declares it a victory for Jehovah, however it happened.