'Established' in the Bible

David perceived that Yahweh had established him king over Israel; for his kingdom was exalted on high, for his people Israel's sake.

Tremble before him, all the earth. The world also is established that it can't be moved.

but I will settle him in my house and in my kingdom forever. His throne shall be established forever."'"

Now, Yahweh, let the word that you have spoken concerning your servant, and concerning his house, be established forever, and do as you have spoken.

Let your name be established and magnified forever, saying, 'Yahweh of Armies is the God of Israel, even a God to Israel. The house of David your servant is established before you.'