Rent control also has the opposite negative effect of causing a lot of people to stay still forever, causing the only AVAILABLE rentals (that all smell like cat pee, laundry detergent/freshner and next door to basketball hoops) to be $3500 a month.
If the rent wasn't controlled then the nice apartments would be available at $3500 and the pee/laundry baskebetball ones would be available at least at $700/mo for those that need housing.