Physical Significance of the Laplace Transform

[jasonRF]

But as far as control system analysis is concerned, this information is not particularly useful as it doesn't offer any fruitful insights about the system. Hence, as Prof Douglas said in that video, it is just a boring number that we don't really care about. That's why we are usually only interested in poles and zeros.

Is this line of reasoning correct so far?

Yes

 

[cnh1995]

Thanks @jasonRF, @eq1 and @AVBs2Systems for your informative contributions! I now have a better understanding of Laplace transform.

Thanks to everyone who participated in this discussion!