The phrase "a continued reliance on" is correct and usable in written English.
It can be used when discussing an ongoing dependence or trust in something or someone over time.
Example: "The company's success is largely due to a continued reliance on innovative technology to improve its products."
Alternatives: "an ongoing dependence on" or "a sustained trust in".
While the twentieth century was undeniably an American century with strong leadership, adherence to the principles of freedom and democracy our Founders' enshrined in our nation's Declaration of Independence and Constitution, and a continued reliance on Divine Providence the twenty-first century will be one of American greatness as well.
Instead, there is a continued reliance on transport planning in Mumbai that has not been significantly updated or superseded.
John Lewis's sales figures revealed a continued reliance on online purchases, as trade at its shop counters fell.
Unfortunately, on the same day the administration was lobbying for a continued reliance on the same security companies that have proved so inadequate.
These dispiriting passages may be a reasonable representation of Holiday in her later years, when a continued reliance on drink and drugs made her performances nail-biting endurance tests.
For all of their high-technology and talk of innovation, I worry that the console manufacturers' desire for tight control and a continued reliance on retail could hold back real innovation in business models.
In his first comments on the project since his appointment, David Higgins, the new chairman of HS2, said: "The alternative is a continuing reliance on a Victorian network which is already at breaking point".
[Bloomberg] The head of China's top planning agency says the country failed to meet its targets for improving its air and water quality because of a continuing reliance on heavy industry.
The report highlights the frequent lack of fit between ambitious service goals of empowerment, involvement, independence and choice and a continuing reliance on the same old repertoire of services and the same old processes of assessment, allocation and service delivery.
However, a continuing reliance on the E.U., U.S. and international institutions for investment and finance keeps Turkey tied to the West.
And yet their failure for long spells to puncture Celtic's doughty defence hints at a continuing reliance on the Argentine's genius, something coach Tata Martino sought to play down afterwards.
