I am looking for a reference for the proof of the next claim:

"BIBO—bounded input bounded output—stability. We claim that a necessary and sufficient condition for a system described by a linear, constant coefficient, time invariant, integro-differential equation to be stable is that all of the poles of P(s)/Q(s)—all of the zeros of Q(s)—must lie in the left half-plane"

I want a reference for the proof that it's sufficient.

Thanks, Alan. :-)


See for instance pp.172-173 from Panos J. Antsaklis, and Anthony N. Michel. A Linear Systems Primer. Springer, 2007.

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