control, wedge
轄 centers on holding something firmly in place: a wedge that locks a wheel onto an axle, and by extension, control or governance that keeps things from slipping.
轄 combines 車 (vehicle, wheel) with 害, which likely contributes the sound and the idea of a wedge or pin that secures a wheel. The control meaning extends from the physical wedge.
A vehicle 車 needs a wedge 害-like shape to lock its wheels. Picture a metal wedge driven through the axle to control the cart's movement.
For カツ, imagine a wedge that cuts into the axle: cuts -> カツ, and the wedge controls the wheel.
jurisdiction; control
jurisdiction
direct control; direct supervision
concurrent jurisdiction (esp. of an embassy serving neighboring countries); concurrent accreditation
separate jurisdiction
international jurisdiction
district (esp. in mainland China and Taiwan)
taxation office serving a specific area; competent tax office
taxation office serving a specific area; competent tax office
police station with jurisdiction for a precinct, etc.; competent police station
area under direct control (of the shogun)
direct-controlled municipality
crown colony
territory under direct jurisdiction; direct holding
administration port
jurisdictional dispute
outside one's jurisdiction
controlling office; competent (governmental) authorities
(have) jurisdiction over
competent court; court having jurisdiction (over a matter); court of competent jurisdiction; court of jurisdiction