A linear second-order continuous time system is described by the following set of differential equations. [ begin{aligned}

Question:

A linear second-order continuous time system is described by the following set of differential equations.

\[
\begin{aligned}
\dot{x}_{1}(t) & =-2 x_{1}(t)+4 x_{2}(t) \\
\dot{x}_{2}(t) & =-2 x_{1}(t)-x_{2}(t)+u(t)
\end{aligned}
\]

where $x_{1}(t)$ and $x_{2}(t)$ are the state variables and $u(t)$ is the control variable. The system is
(a) controllable and stable
(b) controllable and unstable
(c) uncontrollable and unstable
(d) uncontrollable and stable