A source capable of supplying 5 V and up to 500 mA per port must supply the downstream port power, VBUS. The TUSB4041I-Q1 signals can control the downstream port power switches. Leaving the downstream port power as always enabled is also possible.
The VBUS of each downstream port requires a large-bulk low-ESR capacitor of 22 μF or larger to limit in-rush current.
TI recommends the ferrite beads on the VBUS pins of the downstream USB port connections for both ESD and EMI reasons. A 0.1-μF capacitor on the USB connector side of the ferrite provides a low-impedance path to ground for fast rise time ESD current that might have coupled onto the VBUS trace from the cable.