1.

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

Answer» 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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