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6) Is this system stable? Why or why not?

6) Is this system stable? Why or why not?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Please solve part 4-6. Thanks

A causal LTI system has the transfer function H(s) given below: 28 H(s) = (s+1-j100) (s+1+j100)* 1) Determine a differential equation for this system. 2) Sketch the pole-zero plot for this system. 3) Sketch the frequency response magnitude of this system. Do not use a log scale, i.e., do not sketch the Bode plot. 4) What type of filter is this system? 5) Determine the output y(t) of this system when the input is r(t) = u(t) - e³tu(t). 6) Is this system stable? Why or why not?
Transcribed Image Text:A causal LTI system has the transfer function H(s) given below: 28 H(s) = (s+1-j100) (s+1+j100)* 1) Determine a differential equation for this system. 2) Sketch the pole-zero plot for this system. 3) Sketch the frequency response magnitude of this system. Do not use a log scale, i.e., do not sketch the Bode plot. 4) What type of filter is this system? 5) Determine the output y(t) of this system when the input is r(t) = u(t) - e³tu(t). 6) Is this system stable? Why or why not?
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