Problem Statement #$35($State Space $-$ SS$)$

The following system in state space represents the forward path of a unity feedback system.

Use the Routh$-$Hurwitz Criterion to determine if the closed$-$loop system is stable. $[$Section $6\mathrm{.}5]$

$x^{}=\left[\begin{array}{ccccccc}0& 1& 0& 1& 2& -4& -3\end{array}\right]$

$-5$

$-5$

$0x+\left[\begin{array}{c}0\end{array}\right]$

$1$

$0u$

$y=\left[\begin{array}{ccc}1& 0& 1\end{array}\right]x$

Problem Statement #$36($Matlab $-$ ML$)$

Repeat Problem $3\mathrm{.}5$ using Matlab.

Hint: Use the ss comand in Matlab to create state space model.

Submit the following using the "Week $2$ Lab" link above:

the Matlab code along with

all the results produced by the code to determine stability:

matrices for continuous time state space model,

o eigen values of the system matrix.