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    While analyzing the stability of a control system using the Routh-Hurwitz criterion, what does a sign change in the first column of the Routh table in
    Question

    While analyzing the stability of a control system using the Routh-Hurwitz criterion, what does a sign change in the first column of the Routh table indicate?

    A.

    A root in the Closed Right Half-Plane

    B.

    A root in the origin

    C.

    A root in the Left Half-Plane

    D.

    A root in the Open Left Half-Plane

    Correct option is A

    The Routh-Hurwitz criterion is a method used to determine the stability of a linear time-invariant (LTI) system without solving for the actual roots of the characteristic equation. The key principle is that the number of sign changes in the first column of the Routh table is equal to the number of roots (poles) that lie in the right half of the s-plane (RHP), also known as roots with positive real parts. The presence of one or more roots in the RHP makes the system unstable.

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