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First column elements of the Routh’s tabulation are 3, 5, -3/4, ½, 2. It means that there are:

(a) Is one root in the left half of s-plane

(b) Are two roots in the left half of s-plane

(c) Are two roots in the right half of the s-plane

(d) Is one root in the right half of s-plane

The question was posed to me by my college professor while I was bunking the class.

I'm obligated to ask this question of Stability Analysis in portion Digital Control Systems of Control Systems

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Correct choice is (c) Are two roots in the right half of the s-plane

Explanation: Routh hurwitz criteria is used to find the stability of the system and this is determined by the number of roots in which the number of roots is equal to the number of sign changes.

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