Exercise 6.2#
Analysis ∙ Linear dynamical systems
Given the state-space model:
(27)#\[\begin{split}
\begin{dcases}
\dot{x} = \begin{bmatrix} 1 & -1 \\ 2 & 1 \end{bmatrix} x + \begin{bmatrix} 1 \\ 0 \end{bmatrix} u \\
y = \begin{bmatrix} 1 & 1\end{bmatrix} x
\end{dcases}
\end{split}\]
Compute the poles of the system
Compute its transfer function \(G(s)\)
Compute the poles and zeros of \(G(s)\)