"strengthen control" is a correct and usable phrase in written English.
You can use it in a variety of contexts to refer to the act of establishing or increasing authority or power over something. For example, "The government has recently implemented measures to strengthen control over the borders."
It urges the agency to "further strengthen control" over the ICW programme.
I always regretted that I was abroad when she was defeated in cabinet on her proposals to strengthen control of the trade unions, though her white paper, In Place Of Strife, caused years of civil war inside the Labour party.
The job of director of the Defense Intelligence Agency has been vacant, filled by an acting director, and Mr. Rumsfeld's delay in filling the post is another sign of his strategy to strengthen control over intelligence.
An article on Aug. 1 about the arrests of eight people in the north and south of England on July 31 under antiterrorism laws misidentified a spokesman for the opposition Conservatives, who urged the government to strengthen control over Britain's porous borders.
Despite Mr. Abe's vows to strengthen control of a chain of islands in the East China Sea that both Japan and China claim, he has played down any confrontations between Tokyo and its Asian neighbors since the elections, instead focusing his agenda on lifting Japan's economy out of recession before the upper-house elections next summer.
All persons have a portion of this primordial life force allotted to them at birth, and their task is not to dissipate it through the activity of the senses but to strengthen, control, and increase it in order to live out the full span of their lives.
That may leave it up to the Securities and Exchange Commission to strengthen controls at the federal level.
Several emerging economies will reintroduce or strengthen controls on capital inflows.
He also vowed to strengthen controls and transparency, saying in a debate this past week that the government has controls and auditing powers at its disposal.
For example, bills to strengthen controls on firearms in 2006 and to outlaw smoking in almost all bars and restaurants in 2002 were drawn up by the mayor.
Under Mr. Pandit, Citigroup, which has a vast international footprint, worked to strengthen controls against dubious money moving through the bank, including by centralizing audit and compliance functions.
