(ii) Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system that has the following characteristic equations. Determine the number of roots of each equation that are in the right-half s-plane and on the jw-axis. (a) s³ +25s² + 250s + 10 = 0 (b) s +2s+8s + 15s³ +20s² + 16s+16=0 20 (3) (5)

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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.6P
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(ii) Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system that
has the following characteristic equations. Determine the number of roots of each equation
that are in the right-half s-plane and on the jw-axis.
(a) s³ +25s² + 250s + 10 = 0
(b) s +2s+8s + 15s³ +20s² + 16s+16=0
20
(3)
(5)
Transcribed Image Text:(ii) Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system that has the following characteristic equations. Determine the number of roots of each equation that are in the right-half s-plane and on the jw-axis. (a) s³ +25s² + 250s + 10 = 0 (b) s +2s+8s + 15s³ +20s² + 16s+16=0 20 (3) (5)
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