Scripture does say that the Antichrist will be possessed by Satan.
Only two individuals were given the title of 'son of perdition' - Judas (past) and a man to come (aka 'man of sin,' who is in the world today). Just like Judas, he will be possessed by Satan.
Luke 22:3: "Then Satan entered Judas, surnamed Iscariot"
John 6:70-71: "Jesus answered them, “Did I not choose you, the twelve, and one of you is a devil?” He spoke of Judas Iscariot, the son of Simon, for it was he who would betray Him, being one of the twelve"
The future 'man of sin' will get his power from Satan, who will control him. The antichrist's power will not be of himself.
Rev 13:2: "The dragon (Satan) gave him his power, his throne, and great authority"
Rev 13:4: "So they worshiped the dragon who gave authority to the beast"
Rev 13:5: "And he was given a mouth speaking great things and blasphemies, and he was given authority to continue for forty-two months"
As I understand it, when antichrist is possessed by Satan he will then set up the abomination of desolation.