Problem $4$

$($a$)$ Put the following equation in state$-$space form, where $u$ is the input, and $y=x^{}$ is the output we

care about. There is more than one correct representation. Try not to include states that you don't

need.

$x^{}+4x^{}-10x^{}=8u$

$($b$)$ What is the state$-$space matrix form if $y=x$ is the output we care about?