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GATE 2023 IN – Question 24

Control Systems · Stability and frequency response · 1 mark · Numerical answer

The number of zeros of $P(s)=s^3+2s^2+5s+80$ in the right half-plane is ______.

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Correct answer: 2 to 2

Explanation

The Routh first column is $1,2,(2\times5-80)/2,80$, or $1,2,-35,80$. Its two sign changes show **2** right-half-plane zeros.