Robin2:
I wonder. Take for example two different clocks. One of them moves the minute hand in a big jump once per minute and the other moves its minute hand continuously. There would not seem to be any value in sampling the first clock more than once per minute. If you sampled it (say) 10 times per minute you would think it was stopped on 9 of those occasions....R
I see. Yeah ..... a discontinuous motion system and a continuous motion system aren't the same thing as we know. And maybe depends on what we aim to do in terms of controlling something. Like ... if timing and sync or lags and resolution etc aren't a problem in a particular control system...and the system remains stable and works in the way we desire it... then all ok.
I don't mean the jumping minute hand is really discontinuous motion.... just hypothetically discontinuous.
Also consider what happens if somebody decides to sample the jumpy minute hand around the discontinuity.... and the sampling clock has some timing uncertainty. Sometimes samples before the jump... and sometimes after the jump. We don't necessarily need to sample at that particular spot of course.... just a consideration.