Two systems are defined by their state veritable equation in time domain dx(t)/dt = Ax(t) + Bu(t) as follows. If the gain equation in this are as given below, which of the following choices is correct?
\[\begin{array}{l}
{\rm{A}} = \left[ {\begin{array}{*{20}{c}}
{ - 2}&1\\
0&{ - 1}
\end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l}
1\\
0
\end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 1}}\\
{\rm{A}} = \left[ {\begin{array}{*{20}{c}}
0&1\\
{ - 1}&0
\end{array}} \right],\,{\rm{B}} = \left[ \begin{array}{l}
0\\
1
\end{array} \right]{\rm{. }}{\rm{. }}{\rm{. }}{\rm{. Equation 2}}
\end{array}\]
A. Both Equations are uncontrollable
B. Both Equations are controllable
C. Only Equations 1 is controllable
D. Only Equations 2 is controllable
Answer: Option D
This Question Belongs to Electronics And Communications Engineering >> Control Systems
Join The Discussion