Consider the system G$($s$)=10/$s$^2($s $+2)($s$^2+2$s $+5)$ The system is$...$ controllable and observable not controllable, not observable controllable but not observable not controllable, observable Consider the system represented by x $=$ Ax $+$ Bu where A $=[0050]$ and B $=[10]$ The associated state$-$transition matrix is: phi$($t$,0)=[5$t$]$ phi$($t$,0)=[5$t$]$ phi$($t$,0)=[105$t $1]$ phi$($t$,0)=[115$t $1]$ phi$($t$,0)[1005$t $10$ t$^2$ t $1]$