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A linear time-invariant (LTI) continuous system is BIBO (Bounded-Input Bounded-Output) stable if and only if its impulse response h(t) is:

APurely imaginary
BConstant for all t
CDifferentiable at origin
DAbsolutely integrable

Explanation

A continuous LTI system is BIBO stable if integral of |h(t)| dt from -infinity to +infinity is finite.

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