Chapter 6, Problem 50P

A system is represented in state space as

$\begin{array}{l}\text{<mover accent="true"> <mo> x </mo> <mo> ˙ </mo> </mover>}=\left[\begin{array}{ccc}0& 1& 3\\ 2& 2& -4\\ 1& -4& 3\end{array}\right]\text{x}+\left[\begin{array}{c}0\\ 1\\ 0\end{array}\right]u\\ y=\left[\begin{array}{ccc}1& 1& 0\end{array}\right]\text{x}\end{array}$

Determine how many eigenvalues are in the right half-plane. In the left half-plane, and on the $j\omega -\text{axis}$ . [Section: 6.5]