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  1. A certain system has transfer function a is a parameter. Consider the standard negative unity feedback configuration as shown below.

    Which of the following statements is true?

  2. A.
    The closed loop system in never stable for any value of a a
    B.
    For some positive values of a, the closed loop system is stable, but not for all positive values
    C.
    For all positive values of a, the closed loop system is stable
    D.
    The closed loop system is stable for all values of a, both positive and negative

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    Answer : Option C

    Explanation :

    Closed loop system transfer function

    Use Routh criteria

    Thus for all positive value of 'a' this will be stable.


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