There are multiple types of dimmers available on the market, some of which are compatible with the Dyson Suspended lights and some that are not. These include. 

Compatible

OSram DALI MCU

Analogue dimming - This is usually referred to as 1-10v dimming.

DALI - A lighting management control system.

Not Compatible

AC mains/TRIAC

AC/TRIAC dimmers are designed for resistive loads such as incandescent or halogen lights. These phase-controlled dimmers are not compatible with LEDs since LEDs do not appear as a resistive load.