The phrase "a system that increasingly" is correct and usable in written English.
You can use it when describing a system that is becoming more advanced, complex, or effective over time.
Example: "The research focuses on a system that increasingly adapts to user preferences, enhancing the overall experience."
Alternatives: "a system that progressively" or "a system that is evolving".
They are operating within a system that increasingly constrains their possibilities.
When families in need sought help from the safety net, however, they found themselves trapped in a system that increasingly tied public assistance to private employment.
But the rapid moves created unrest among the chain's rank-and-file, who felt left out of the decisions in a system that increasingly concentrated decisions at headquarters.
Since arriving here in 2006 under an arrangement with the government that purged its Chinese search results of banned topics, Google has come under fire for abetting a system that increasingly restricts what citizens can read online.
Since arriving in 2006 under an arrangement with the government that purged its Chinese search results of banned topics, Google has come under fire for abetting a system that increasingly restricts what can be read online.
But the difficulty comes when those patients need hospital treatment - it takes longer to treat them in a system that increasingly looks as if it's struggling to cope - and not just in winter.
But the record of the last year provides little evidence that a political system that increasingly rewards extremes and leaves the center feeling underrepresented will have much incentive to attack complicated problems in an ambitious and appropriately nuanced way.
Just a belief system that, increasingly, we're all moving away from.
The weakness in an economic system that increasingly demands that young people work for little or nothing is that most of the young people willing to do this come from families that can support them.
Not everybody is going to love an operating system that increasingly relies on cloud services for some of its more advanced features (like Timeline), but that's pretty much the way Microsoft is going here and that's also where there is some obvious room for innovations.
Putting aside that little mess in Iraq, the U.S. has tried for the past several decades to impose an economic system that, increasingly, people don't want.
