1. Consider the systems whose transfer functions are given as below. Determine (i) BIBO stability, (ii) strict internal stability, and (iii) marginally internal stability for each of the systems. You should be able to answer these just simply finding the poles and checking sign of real part of the poles. a) H(s) = (s-3) (s+1) (s+3)² 2 (s-5) b) H(s) = c) H(s) = (s-5)(s+1) $2 ((s+3)²+4)2 d) H(s) = e) H(s) = S (s-3)²+4 (S-4) (s²-4s)(s+1)² f) H(s) = S+1 (s²+9)2
1. Consider the systems whose transfer functions are given as below. Determine (i) BIBO stability, (ii) strict internal stability, and (iii) marginally internal stability for each of the systems. You should be able to answer these just simply finding the poles and checking sign of real part of the poles. a) H(s) = (s-3) (s+1) (s+3)² 2 (s-5) b) H(s) = c) H(s) = (s-5)(s+1) $2 ((s+3)²+4)2 d) H(s) = e) H(s) = S (s-3)²+4 (S-4) (s²-4s)(s+1)² f) H(s) = S+1 (s²+9)2
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Transcribed Image Text:1. Consider the systems whose transfer functions are given as below. Determine (i)
BIBO stability, (ii) strict internal stability, and (iii) marginally internal stability for each
of the systems. You should be able to answer these just simply finding the poles and
checking sign of real part of the poles.
a) H(s) =
(s-3)
(s+1) (s+3)²
2 (s-5)
b) H(s)
=
c) H(s) =
(s-5)(s+1)
$2
((s+3)²+4)2
d) H(s) =
e) H(s) =
S
(s-3)²+4
(S-4)
(s²-4s)(s+1)²
f) H(s) =
S+1
(s²+9)2
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