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- W2022650426 abstract "In this paper, we will prove that a causal, linear, continuous-time, time-invariant system is bounded if the step response is a function of bounded variation. We then present an example of a causal, linear, continuous-time, time-invariant, bounded operator that does not have an impulse response in the normal sense. The example system response to an impulse input signal is zero and the impulse response does not contain any impulse functions. Hence, the continuous-time operators have a more complex structure than our intuition has led us to believe." @default.
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- W2022650426 date "2009-03-01" @default.
- W2022650426 modified "2023-09-26" @default.
- W2022650426 title "The step response of continuous-time systems" @default.
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- W2022650426 doi "https://doi.org/10.1109/secon.2009.5174058" @default.
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