Consider the the system described by the expression H$($z$)$ shown below. Note that

a$,$b and c are positive real numbers. Recall that poles and eigenvalues are used in

one method to assess stability.

H$($z$)=($z$+$c$)/(($z$+$a$)($z$+$b$))=($z$+$c$)/($z$^(2)+($a$+$b$)$z$+$ab$)$

Mark each statement below at true $($enter uppercase T$,$ no spaces$)$ or false $($enter

uppercase F$,$ no spaces$)$

The function H$($z$)$ is called the transfer function

The system described by H$($z$)$ is a continuous$-$time system

The system described by H$($z$)$ is also described by h$($t$)=$y$($t$)/($x$)($t$)$ where x$($t$)$ and

y$($t$)$ are the system input and output

Noting that $-$a and $-$b are system poles then if then if a$<mn>1</mn>$ and b the system

would be BIBO stable

It is sufficient knowing that a and b are positive numbers, to conclude that this

system is BIBO stable