Consider a LTI system with transfer function (a) Determine if the system is BIBO stable or not.

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Consider a LTI system with transfer function

s? + 4 Y (s) H(s) = X(s) s((s+ 1)² + 1)

(a) Determine if the system is BIBO stable or not.

(b) Let the input be x(t) = cos(2t) u(t) find the response y(t)and the corresponding steady-state response.

(d) Let the input be x(t) = u(t) find the response y(t)and the corresponding steady-state response.

(e) Explain why the results above seem to contradict the result about stability.

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Signals and Systems using MATLAB

ISBN: 978-0123948120

2nd edition

Authors: Luis Chaparro

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Question Posted: Dec 29, 2018 07:08 AM

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Consider a LTI system with transfer function (a) Determine if the system is BIBO stable or not.

Question:

s? + 4 Y (s) H(s) = X(s) s((s+ 1)² + 1)

Step by Step Answer:

a Zeros s j2 poles s 1 0 s 23 1 j The system is not BIBO because o...View the full answer

Signals and Systems using MATLAB

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