A brushless motor 'is' a brushed motor. Brushed motor has mechanical commutation, brushless motor has electronic commutation, that's 'all'. Both motortypes are/can described with the same electric model/theory, Kv, Ri, Io:
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A brushless controller is not an inverter, it's still the motor that tells the controller (via voltage induced in phase that is in-active at that time, ref. BEMF signals) when to do the switching. Our brushless motors can operate in synchronous mode (with an inverter) but 'we' operate them in iso-synchronous mode, i.e. self-synchronizing.
Animations and simulations of brushless motors, neat 3-phase voltage pictures:
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Workings of a brushless controller:
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-> SPEEDY-BL self made brushless controller
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-> Why does the Torquemax rotate so slowly and so forcefully
Course
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Vriendelijke groeten ;) Ron