"central to the system" is correct and usable in written English.
You can use this phrase to describe an important element that is integral or essential to a system. For example: The new software is central to the system, so it must be thoroughly tested before implementation.
"Violence was central to the system of slavery, and the spirit of this violence continues to haunt modern Jamaica".
Central to the system are an air reactor and a fuel reactor.
Central to the system is a methodology of process-oriented performance measurement.
But in the West such assistance is the exception; in Japan it is central to the system.
Brutality was central to the system of racial hierarchy known as Jim Crow, and Mississippi managed to distinguish itself in the administration of it, which is part of the reason that the opening, this past weekend, of the Mississippi Civil Rights Museum, in Jackson, is a milestone in the state's history.
It is critical to ensure that no institution central to the system has an incentive to take on excessive risk, knowing that taxpayers will bail them out if things go wrong, as happened with Fannie and Freddie and could happen in a system overly dominated by other too-big-to-fail institutions.
Alterations of connectivity are central to the systems-level pathophysiology of schizophrenia.
Central to the highway system are the limited-access highways.
The modeling and fitting tool Sherpa is central to the CIAO system.
Her treatment violates principles of intellectual freedom, justice and fairness that are central to the Islamic system of morality.
The failure to tackle reform of institutions so central to the humanitarian system is causing anger and frustration.
