0 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 $\left[\begin{array}{cc}\cos t & \sin t \\ -\sin t & \cos t\end{array}\right]$ $\left[\begin{array}{cc}-\cos t & \sin t \\ -\sin t & -\cos t\end{array}\right]$ $\left[\begin{array}{cc}-\cos t & -\sin t \\ -\sin t & \cos t\end{array}\right]$ $\left[\begin{array}{cc}\cos t & -\sin t \\ \cos t & \sin t\end{array}\right]$ Control Systems gate2006-ec state-equations linear-algebra control-systems + – admin 241 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.