The phrase "a continued inability to" is correct and usable in written English.
It can be used to describe an ongoing lack of capability or capacity to perform a certain action or task.
Example: "The team's performance has suffered due to a continued inability to meet deadlines."
Alternatives: "an ongoing failure to" or "a persistent lack of".
"A continued inability to regain market access for the sovereign, and hence for the banks, would impede growth," the I.M.F. said.
Others include a continued inability to define and secure our right to ply for hire on the street, ongoing prevarication on the licensing of pedicabs, inadequate provision of ranks, unnecessary phasing out of older vehicles in the unproven name of better air quality, and being treated as second-class members of the transport infrastructure in London.
also took the administration to task for a "continued inability to apologize when it is flat out wrong".
The agency, Moody's Investors Service, said on Tuesday that little had changed since Mr. Schwarzenegger won the Oct. 7 recall election and that the state had a "continuing inability to reach political consensus on solutions to its budget and financial problems".
So far there are plenty of bad signs, notably the Americans' continued inability to halt a dreadful wave of car-bombings and of attacks on their soldiers in the capital.
If the "Person of the Year" Award had gone to Palin it would have been a case damning her for her divisiveness, her continued inability to change the subject to issues instead of her continual whining about the media, as well as her ideological foreign policy platform that isn't informed by experience gained through studying or traveling to the countries over which she opines.
He point to the county's continued inability to take control of a 105-acre parcel at a former Grumman site in Bethpage as a major development failure.
Perhaps most troubling for the campaign is General Clark's continued inability to put to rest the questions about his position on the Iraq resolution.
And for those who may have had children and grandchildren in the second half of the century, politicians' continued inability to tackle environmental issues is deeply disappointing.
Yao Ming and the Houston Rockets overwhelmed Yi Jianlian and the Nets, 114-91, athehe Izod Center, where the matchup between two of China's finest players was dwarfed by the Nets' continued inability to gain traction at home.
And lamented the Knicks' continued inability to halt the penetration of Rajon Rondo, who had 31 points and 13 assists, while wondering how they lost to the aging and Paul Pierce-less Celtics.
