The transfer function of a BIBO-stable system has poles only on the open left hand s-plane (excluding the jOhm axis).
a.) Let the transfer function of a system be
H(1 ) (s)= (Y(s))/(X(s)) = 1/((s+1)(s-2))
And let X(s) be the Laplace Transform of signals that are bounded (i.e. the poles of X(s) are on the left-hand s-plane). Find lim [as t goes to infinity)] y(t). Determine if the system is BIBO stable. If not, determine what makes the system unstable.