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  1. The impulse response h(t) of a linear time-invariant continuous time system is described by h(t) = exp (at) u(t) + exp (βt) u (- t), where u(t) denotes the unit step function, and a and β are constants. This system is stable if

    2. A.
    a is positive and β is positive
    B.
    a is negative and β is negative
    C.
    a is positive and β is negative
    D.
    a is negative and β is positive

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    Answer : Option D

    Explanation :

    h(t) = e+atu(t) + eβtu(- t)

    For h(t) to be stableh(t) dt < ∞

    It will happen when a is negative and β is positive.

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