The transfer function of a BIBO stable and causal system has poles only on the open left-hand s-plane (excluding the j­Î© axis).

(a) Let the transfer function of a system be

and let the poles of X(s)be on the left-hand s-plane. Find lim_t†’ˆžy(t). Determine if the system is BIBO stable. If not stable, determine what makes the system unstable.

(b) Let the transfer function be

and X(s)be as indicated above. Find lim_t†’ˆžy(t). Can you use this limit to determine if the system is BIBO stable? If not, what would you do to check stability?

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