I'm not sure about this matchup but it's probably slightly in Aigis's favor. I don't really see Yu controlling the battle. Until her bullets run out. Vulcan gun will be end up allowing her to pressure a lot. So Yu will end up probably playing defensively and countering for most of the match.
From what I've experienced so far, the biggest concern is that if he switches to being defensive his 236C can be bothersome when backed up by 5C and 2B, it's not the biggest problem but it takes some patience and spacing to not get hit by it, try IAD'ing/jumping over him when you think they're trying to bait you into his 2B. Other than that, his pressure is the same against everyone, just try to block it, and watch out for R-actions when you're going offensive. Aigis J.236B is pretty useful fullscreen as well, it may cause him to get impatient until he realizes that you don't actually want to spend those bullets harassing him.
Yeah overall not too hard for Aigis, not one of the most noteworthy matchups that you need to wrack your brain over.... Now the real question is.....
Why is the Liz and Shabrys matchup threads locked? Emphasis on the Liz portion.