The phrase "and he stayed up" is correct and usable in written English.
You can use it to describe someone who remained awake for a period of time, often in the context of an activity or event.
Example: "After the party ended, and he stayed up to finish his book, he felt exhausted the next day."
Alternatives: "and he remained awake" or "and he kept himself up".
"He just sort of got a stride, and sort of got a little freedom, and you could just tell that he was up and he stayed up," said Senator Tom Harkin of Iowa, who had endorsed Dr. Dean.
Ellington was on the road, undertaking a series of one-nighters, when he heard the news of his mother's demise, and he stayed up all night in his Pullman car, "all caught up in the rhythm and motion of the train dashing through the south", to lay the foundations of his musical tribute.
I'll stick up for Larry on this: He tries to coach everybody in the meetings, and he stays up and watches more film than everybody".
The youngest boy, Ivan Ivan Dobronravovv), is too chicken, or too wise, to jump, and he stays up there, shaking with cold and shame, until his mother climbs up and folds him in her arms.
"I dreamed I went back to study in Cardiff but skipped lectures to go to matches," he admitted, and he stays up into the early hours to watch them play on TV.
"He maybe lost a bit of confidence in a couple of the runs he had and then he stayed up front when perhaps he needed to come deeper, receive the ball and turn.
He came into Mother's room and, whispering just loud enough for her and Kishen to hear, told them how all day he was on duty in the kitchen, and even at night he stayed up to watch.
He stayed up researching and writing.
"I hit him with some clean shots and I don't know how he stayed up.
But afterward he was tired; he had a headache and his arms hurt more so than when he had violently tugged the scab of the petrol cap from the rump of the Maruti and he stayed up all night on the bed of the spinsters, his head throbbing and the city mocking him with its million nocturnal honks, wondering: What will it be for?
