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Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane, and on the jo-axis: P(s) = 55 +354 +5³ +4s²+s+3 2. Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane, and on the jo-axis: P(s) = s5 +68³ +5² +8s+20 3. The closed-loop transfer function of a system is 4. T(s) = s³ +25² +7s+21 s5254 +353-6s² +2s-4 For the unity feedback system of Figure P6.3 with K(s + 6) G(s) = s(s+1)(s+4) determine the range of K to ensure stability. R(s) E(s) G(s) C(s)

Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane, and on the jo-axis: P(s) = 55 +354 +5³ +4s²+s+3 2. Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane, and on the jo-axis: P(s) = s5 +68³ +5² +8s+20 3. The closed-loop transfer function of a system is 4. T(s) = s³ +25² +7s+21 s5254 +353-6s² +2s-4 For the unity feedback system of Figure P6.3 with K(s + 6) G(s) = s(s+1)(s+4) determine the range of K to ensure stability. R(s) E(s) G(s) C(s)

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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1. Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane, and on the jo-axis: P(s) = s5+354 +55³ +4s² + s +3 2. Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane, and on the jo-axis: P(s) = s5 +68³ + 5s² +8s+20 Routh-Hurwitz Criterion Coursework 3. The closed-loop transfer function of a system is 4. T(s) = s³ +25² +7s+21 s5254 +353 6s²+2s4 For the unity feedback system of Figure P6.3 with G(s) = K(s + 6) s(s+1)(s+4) determine the range of K to ensure stability. R(S) + E(s) G(s) FIGURE P6.3 C(s)
Transcribed Image Text:1. Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane, and on the jo-axis: P(s) = s5+354 +55³ +4s² + s +3 2. Tell how many roots of the following polynomial are in the right half-plane, in the left half-plane, and on the jo-axis: P(s) = s5 +68³ + 5s² +8s+20 Routh-Hurwitz Criterion Coursework 3. The closed-loop transfer function of a system is 4. T(s) = s³ +25² +7s+21 s5254 +353 6s²+2s4 For the unity feedback system of Figure P6.3 with G(s) = K(s + 6) s(s+1)(s+4) determine the range of K to ensure stability. R(S) + E(s) G(s) FIGURE P6.3 C(s)
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