$4\mathrm{.}13$ Consider the second$-$order system G$($s$)=1$ s$2+2$s$+1.$ We would like to add a transfer function of the form series with G$($s$)$ in a unity feedback structure. Dc$($s$)=$ K$($s$+$a$)$ K$($s$+$b$)$ in a$.$ Ignoring stability for the moment, what are the constraints on K$,$ a$,$ and b so the system is Type $1?$