4 views

0 votes

A linear system is described by the following state equation

$$X(t)=\mathrm{AX}(t)+\mathrm{BU}(t), \mathrm{A}=\left[\begin{array}{cc}

0 & 1 \\ -1 & 0\end{array}\right]$$

The state-transition matrix of the system is

- $\left[\begin{array}{cc}\cos t & \sin t \\ -\sin t & \cos t\end{array}\right]$
- $\left[\begin{array}{cc}-\cos t & \sin t \\ -\sin t & -\cos t\end{array}\right]$
- $\left[\begin{array}{cc}-\cos t & -\sin t \\ -\sin t & \cos t\end{array}\right]$
- $\left[\begin{array}{cc}\cos t & -\sin t \\ \cos t & \sin t\end{array}\right]$