The phrase "a state of continuous" is correct and usable in written English.
It can be used to describe an ongoing condition or situation that persists without interruption.
Example: "The team is currently in a state of continuous improvement, striving to enhance their processes and outcomes."
Alternatives: "a condition of ongoing" or "a phase of perpetual".
In these instances, muscles may be in a state of continuous overuse, and may ache.
Since then the heat from Earth's mantle has kept the plates in a state of continuous agitation.
The parliament will "be deemed to be in a state of continuous session" throughout the state of emergency.
The Buddha taught that all things are impermanent, in a state of continuous change and flux – and this includes us.
Scientific theories are in a state of continuous, tumultuous improvement as old ideas are overturned in part or whole, and replaced with new ones.
We follow traces of memory and discover that memory itself is in a state of continuous decay, that we are our own ruins.
It has long been assumed that little Robbie, as Wilde called him, introduced him to gay sex, but extensive research suggests that Wilde had discreet dalliances with young men from as early as university days, and continued to have them: he was in a state of almost continuous flirtation and furtive consummation with a string of pretty young men.
He wrote in a state of almost continuous religious rapture.
Lately...audiences are in a state of almo continuous gratification from the moment the curtain first goes up-applauding the presence of scenery, the entrance of actors, the delivery of speeches notable for their comedy, tragedy, or length.
They keep us in a state of almost continuous suspense, so that we're returned to that most basically pleasurable of theater sensations: wanting to know what will happen next.
In the introduction to "The Power of Now," Mr. Tolle said he suffered from "a state of almost continuous anxiety interspersed with periods of suicidal depression" until he was 29, when he had a personal epiphany.
