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The phrase "imposed on the system" is correct and can be used in written English.
You can use the phrase when talking about something being enforced or established on a system. For example: "The new regulation was imposed on the system to ensure safety precautions were met."
Exact(43)
"These appointments are a result of the pressure that women's demands have imposed on the system," said Asiyeh Amini, a leading women's activist.
Thus, restrictions are imposed on the system use.
■ Any physical constraints imposed on the system (e.g. pressure, temperature or electric field).
To simulate a disturbance imposed on the system, a system load increase will be simulated.
Sufficient conditions are provided under which a hard bound is imposed on the system performance measure.
The Gibbsian maximum entropy principle then requires that SG be maximal, given the constraints that are imposed on the system.
Similar(14)
The committee scrapped his plans to grant the University of Wisconsin (UW) system autonomy from state oversight and scaled back a $300m cut the governor wanted to impose on the system by $50m.
France and Germany have yet to specify how they will apply theirs (although Mr Osborne produced, along with his budget, a joint statement to the effect that all three countries would impose levies designed to make banks pay for the risks they impose on the system and encourage them to reduce the riskiness of their balance-sheets).Applying these levies to global banks will be complex.
"This was not feasible because of the risks this would impose on the system".
The existing approaches differ in terms of requirements and restrictions they impose on the system.
Some discussions on the assumptions we impose on the system are given.
More suggestions(14)
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com