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The phrase "a stable system of" is correct and usable in written English.
It can be used when discussing structures, processes, or frameworks that are consistent and reliable.
Example: "In order to ensure long-term success, we must establish a stable system of governance."
Alternatives: "a reliable framework of" or "a consistent structure of".
Exact(17)
Altan soon began his effort to create a stable system of government in his homeland.
They faced the conundrum of how to turn their sect into a church — that is, how to transcend the end-of-days rhetoric and create a stable system of governance.
Rather, it would appear that the state created by Ranjit Singh never really made the transition from being a conquering power to being a stable system of alliances between conflicting social groups and regional interests.
The idea would be to base the future kilogram on a fundamental physical constant, not an inconstant object, said Dr. Peter J. Mohr, a theoretical physicist at the National Institute of Standards and Technology in Gaithersburg, Md. "We want to have something that's not changing, so that we can have a stable system of measurement," he said.
This facilitated a stable system of exchange between farmers and pastoralists: grain for dairy products and crop residues for manure.
"The main role of governments is to protect the rights of their own citizens and to provide a stable system of law for them.
Similar(43)
There is therefore an urgent need to establish a stable system for the culture of endometriotic epithelial cells that can be used for research not only into the biology of endometriosis but also into its carcinogenesis.
Regular harvesting and dilution of the culture are, therefore, required to maintain a stable system capable of operating for an extended period of time.
If the effect takes place immediately after the cause, or is based on a stable system, use of cross-sectional data is appropriate [ 56].
Overall, existence of a stable system core, re-wiring of regulatory cascades accompanied by shuffling of the regulators, and existence of taxon-specific periphery seem to be common features of all complex regulatory systems.
For a stable system, the number of messages picked up at each trip should converge to a value.
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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