Rent stabilization is roughly based on the inflation rate, so, while tenants who've lived in one place for a while might be getting something approximately considered a "sweet deal", it's not the ridiculous scenario rent control can produce. One other relevant distinction, rent controlled units can be passed down to family, keeping the same rent rate. Rent stabilized apartments can also be passed down, but it's the same as if a new tenant was taking over—the price can be reset back to market rate.