A system has a characteristic equation q(s) = s3 + 20s2 + 5s + 100 = 0. (a) Determine

Chapter 0, Problem E6.18

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QUESTION:

A system has a characteristic equation

\(q(s)=s^{3}+20 s^{2}+5 s+100=0\).

(a) Determine whether the system is stable, using the Routh-Hurwitz criterion,

(b) Determine the roots of the characteristic equation.

Questions & Answers

QUESTION:

A system has a characteristic equation

\(q(s)=s^{3}+20 s^{2}+5 s+100=0\).

(a) Determine whether the system is stable, using the Routh-Hurwitz criterion,

(b) Determine the roots of the characteristic equation.

ANSWER:

Step 1 of 3

The characteristic equation is \(q(s)=s^{3}+20 s^{2}+5 s+100=0\).

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