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A linear time-invariant system is described by the state variable model

\[

\left[\begin{array}{l}

x_{1} \\

x_{2}

\end{array}\right]=\left[\begin{array}{rc}

-1 & 0 \\

0 & -2

\end{array}\right]\left[\begin{array}{l}

x_{1} \\

x_{2}

\end{array}\right]+\left[\begin{array}{l}

0 \\

1

\end{array}\right] u=\left[\begin{array}{ll}

1 & 2

\end{array}\right]\left[\begin{array}{l}

x_{1} \\

x_{2}

\end{array}\right]

\]

- The system is completely controllable
- The system is not completely controllable
- The system is completely observable
- The system is not completely observable.