Correct Answer is : controllable but not observable

controllable but not observable

not controllable but observable

both controllable and observable

both not controllable and not observable

Correct Answer is : controllable but not observable

Test Index

GATE Electrical Engineering (EE) 2013 Solved Paper

Question Numbers: 60-61

The state variable formulation of a system is given as

\begin{pmatrix} x_1 \\ x_2 \end{pmatrix}=\begin{pmatrix} -2 & 0 \\ 0 & -1 \end{pmatrix}\begin{pmatrix} x_1 \\ x_2 \end{pmatrix}+\begin{pmatrix} 1 \\ 1 \end{pmatrix}u, x_1(0)=0, x_2(0)=0

y=\begin{pmatrix} 1 & 0 \end{pmatrix}\begin{pmatrix} x_1 \\ x_2 \end{pmatrix}

Question : 60 of 65

Marks: +1, -0

The system is

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