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Old Nov 29th 2012, 06:16 PM   #1
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Interpreting a transfer function response

Hey, I'm just starting out in linear control theory and was wondering if anyone here might give me a hand in seeing the physics in some of the basics.

Say, for example, that I have a really simple system with transfer function

H(s) = 1/s^2,

s being the Laplace variable, and that I feed it an impulse input using the delta-function. Simply calculating the response is easy enough; it's simply

y(t) = t,

t being time in this case. Plugging it into Matlab confirms it, so at least I feel that I'm on fairly solid ground just working the mechanics of it. But from my understanding, giving something an impulse input is really just giving it a sharp kick and I don't really see how that mesh with a response that keeps on growing?
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