"increasing power over" is correct and usable in written English.
You can use it when describing a situation where someone or something is gaining more control or authority. Example: As the company steadily grows, the CEO is also increasing her power over decision-making processes.
This, then, is the environment in which public officials and Beltway insiders like Friedman are asking us to trust the intelligence community and its private partner firms with increasing power over information.
It has metastasized into a system that has perverts the founders' intent and given giant corporations overwhelming – and increasing – power over not just entertainment but everything that contains information, including software, which is now part of almost everything.
As the United States exerts increasing power over other nations and people, it behooves the administration to recognize this struggle at home, and to exercise patience and forbearance as it demands similar practice from other nations that may have a much shorter history of such a struggle.
Google's dominant position as an advertising seller has also given it increasing power over newsrooms (although not as much as Facebook).
The growth of mega-retailers like Tesco, Sainsbury, ASDA, Lidl or Carrefour in Europe, or K-Mart and then Wal-Mart in the US has not only crushed wholesalers, but allowed retailers to gain increasing power over FMCGs and their producers.
Health centre personnel made most decisions and had increasing power over community-based management committees.
He honoured his promise to hold a vote and gained increased power over a separatist movement that he has struggled to control.
Rouse emphasized the increased power over individual lives that developments in science made possible.
But the fear is that as cable companies grow, they will gain increased power over programming at the national or international level.
We apply our cluster-based analysis (CBA) to both an event-related and a block design fMRI vision experiment and demonstrate its increased power over voxel-by-voxel analysis in these examples as well as in simulations.
The bill would also remove regulators' increased power over "systemically important financial institutions".
