The Dons currently lie in eighth place in the table and have yet to record a victory in 2013, but the former Scotland boss remains optimistic.
"We want success and to finish as high in the SPL as possible. Second place is a target. I am optimistic, always," PA quotes him as saying.
"Second place is five points ahead of us so we need a couple of wins to get in touch and I think we've got the capability within the squad to get the wins."
Brown went on to say that he is not concerned by his team's start to the year, insisting that they are capable of winning a number of their upcoming fixtures.
"I'll look at the table at the end of the season, that is when the table counts," he added.
"You look at the fixtures and think there are points to be gained. I think every manager will be saying the same, it's just who gets the points. We'll see at the end where we finish."
Aberdeen take on the league's bottom club Dundee at home this weekend.