Almost all disks on bikes are semi floating. Most of road bikes use a non removable bobbin with a spring washer to keep the disk pressed to one side of the inner carrier and stop the rattle. Youre disks on the CBR and NSR will be semi floating. The full race disks such as brembo GP use the same kind of setup but without spring washer and have a removable bobbin. These let the disks exspand alot more but rattle. You often see these on ducatis and such. The HRC ones use the same kind of rotor as the PFM's where the rotor sits in groves and is held in by a large circlip (for the PFM's) or a number of small riveted plates (for the HRC ones). These types dont have any bobbins at all but the grove allows the rotor to exspand.
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If I have to take the carbs off once more...