@MechEngr
Nothing, therefore, in the flying of a plane is continuous. Every plane ends up on the ground and either in a smoking hole or, more often, the scrap yard.
Every. Single. Thing. Is. Intermittent.
I'm glad to explain how, in English, "continuous" has no meaning.
Does that mean
continuous functions have no meaning?
If you can understand the concept of an expected duration of a process, you can talk meaningfully about the process being continuous if it is not interrupted within the expected duration, or continual if it is interrupted a number of times within the expected duration. If we talk about a 'runaway stabiliser', it would be expected to continue until it reached the end-stops unless a manual cut-out is performed. If a stabiliser movement ceases without manual input, then restarts without manual input later, one can talk about an interruption. If the stabiliser moves in a particular direction, stops, then continues to move again several times, then it is moving continually.
Obviously, but unhelpfully, in the limit, when time goes towards infinity, all processes can be expected to terminate at some point, so yes, in the perspective of unlimited time, no process is continuous. If you limit, or focus your view on a finite subset of time, then a process can be said to be continuous over that segment if there are no discontinuities/interruptions.
I hope that clarifies things sufficiently for you.