Controls is UI elemetns for controling view of the map, such as scale or bearing. You can check them out in Mapbox GL JS documentation In Vue-mapbox they exposed as Vue components, so you can control they properties and behavior dynamically by changing props. See list of controls and they properties in API docs
Due to Mapbox policy attribution control is enabled by default. Yo can disable default attributions by setting attributionControl
prop of MglMap to false
and set your own attribution using AttributionControl component.