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[ pdf ] LINEAR SYSTEMS AND CONTROL

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Source: www-control.eng.cam.ac.uk 
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Last download on: Wed Nov 29, 2017 01:48:49 PM
Short Desciption:
Impulse responses, step responses and transfer functions.Summary The impulse response, step response and transfer function of a Linear, Time Invariant and causal (LTI) system each completely characterize the inputoutput properties of that system. Given the input to an LTI system, the output can be deterermined: In the time domain: as the convolution of the impulse response and the input. In the Laplace domain: as the multiplication of the transfer function and the Laplace transform of the input. They are related as follows: The step response is the integral of the impulse response. The transfer function is the Laplace transform of the impulse response.


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