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-A-a is positive and β is positiveB-a is negative and β is negativeC-a is positive and β is negativeD-a is negative and β is positive-D-a is negative and β is positive

Question

The impulse response h(t) of a linear time-invariant continuous time system is described by h(t) = exp (at) u(t) + exp (&beta;t) u (- t), where u(t) denotes the unit step function, and a and &beta; are constants. This system is stable if-A-a is positive and &beta; is positiveB-a is negative and &beta; is negativeC-a is positive and &beta; is negativeD-a is negative and &beta; is positive-D-a is negative and &beta; is positive

APTITUDE CRACK · Accepted Answer

D a is negative and &beta; is positive  h(t) = e+atu(t) + eβtu( t) For h(t) to be stableh(t) dt &lt; ∞ It will happen when a is negative and β is positive.

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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

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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

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