Consider the state – space model \left[\begin{array}{c}˙{x\end{array}_1 ; ˙{x}_2 ; ˙{x}_3]}=\left[\begin{array}{ccc}-1 & 1 & 0 \ 0 & -1 & 0 \ 0 & 0 & -2]\end{array}\left[\begin{array}{c}x_1 \ x_2 \ x_3]\end{array}+\left[\begin{array}{c}0 \ 4 \ 0]\end{array} u y=\left[\begin{array}{ccc}1 & 1 & 1]\end{array}\left[\begin{array}{c}x_1 \ x_2 \ x_3]\end{array} System is

Correct Answer is : Uncontrollable and observable

Uncontrollable and Unobservable

GATE Electronics and Communications (EC) 2014 Shift 1 Solved Paper

Question : 56 of 65

Marks: +1, -0

Consider the state – space model

{[\table ˙{x}_1 ; ˙{x}_2 ; ˙{x}_3]}={[\table -1 , 1 , 0 ; 0 , -1 , 0 ; 0 , 0 , -2]}{[\table x_1 ; x_2 ; x_3]}+{[\table 0 ; 4 ; 0]} u

y={[\table 1 , 1 , 1]}{[\table x_1 ; x_2 ; x_3]}

System is

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