GATE EE 2019 Set 1 — Question 25

MCQ+1 / -0.33EasyRouth-Hurwitz CriterionStability AnalysisControl Systems

Control Systems → Stability Analysis → Routh-Hurwitz Criterion

Last updated 5 September 2026

Question

\Delta(s) = s^4 + 3s^3 + 3s^2 + s + k = 0.

s^4 + 3s^3 + 3s^2 + s + k = 0

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s^4 + 3s^3 + 3s^2 + s + k = 0

Row	$s^4$	$s^2$	$s^0$
$s^4$	1	3	$k$
$s^3$	3	1	0
$s^2$	$\frac{3(3) - 1(1)}{3} = \frac{8}{3}$	$k$	0
$s^1$	$\frac{\frac{8}{3}(1) - 3k}{\frac{8}{3}} = 1 - \frac{9k}{8}$	0	0
$s^0$	$k$

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