onsider the linear time$-$invariant dynamical system

$$x$($t$)=$

$01$

$1$

x$($t$)+$

$0$

$1$

u$($t$),$

y$($t$)=10$ x$($t$),$

with state x in R$2,$ input u in R$,$ and output y in R$.$ The parameter in R is constant.

$($a$)$ For what values of is the system $($zero$-$input$)$ asymptotically stable?

$($b$)$ For what values of is the system bounded$-$input bounded$-$output stable