The phrase "are fully controlled by" is correct and usable in written English.
It can be used to describe a situation where something is completely governed or managed by someone or something else.
Example: "The operations of the facility are fully controlled by the central management team to ensure consistency and efficiency."
Alternatives: "are entirely managed by" or "are completely governed by".
Both Amran and Saada are fully controlled by the Houthis.
Some of those subsidiaries, though technically lodged in Europe, are fully controlled by Apple's executives in Cupertino, Calif.
Resonant amplitudes of the response are fully controlled by modal damping factors calculated based on modal strain energy.
However, the decisions on whether to support sharing with an app or what to share or copy are fully controlled by app developers.
The blindfolding interval is set to 30 seconds, which is only a timeout, because the tachistoscopic glasses are fully controlled by the Roadmap Program.
The storage facilities are fully controlled by the state and partly used by RosUkerEnergo, the Switzerland-based joint venture that has acted as the middleman between Russia and Ukraine.
Tablet bidding strategies will now be fully aligned with desktop (where previously advertisers had a choice) but smartphone search bids will still be fully controlled by advertisers.
Ethically, a gift must be fully controlled by the recipient; without that freedom it is not a gift in any meaningful sense of the term.
The early nationalist and trade union movements, aware that the institutions of power were fully controlled by the settlers' government, confined themselves to correcting the grievances arising from racial discrimination by nonviolent means.
As well as bringing together Fox News and Sky News under the same ownership, the takeover would see Sky being fully controlled by a media tycoon who also owns the Times, the Sunday Times and the Sun newspapers through a separate group, News Corp.
