These systems are fairly new so there is no common, agreed upon term to describe them yet, but what all of these systems aim to do is monitor and correct driver fatigue.
Different manufacturers tackle the problem in different ways – some use the existing lane departure assist system to analyse and detect if the car’s movements might be as a result of the driver getting tired, while some systems have a camera that focuses on the driver and analyses facial movements such as drooping eyelids or relaxing muscles.
The action that the system takes if it determines that the driver is getting tired also differs between different manufacturers – some systems will simply sound an audible alert, while others will require the car to be pulled over and either switched off or the driver’s door opened before the alert is cancelled.