Questão 3569201

\(\left\{\begin{matrix} \begin{bmatrix} \dot{X_{1}}\\ \dot{X_{2}} \end{bmatrix}=\begin{bmatrix} 0 & -k_{1}k_{2}\\ 1 & -1 \end{bmatrix}\begin{bmatrix} {X_{1}}\\ {X_{2}} \end{bmatrix}+\begin{bmatrix} k_{1}\\ k \end{bmatrix}u\\ Y= \begin{bmatrix} 0 & k_{3} \end{bmatrix}\begin{bmatrix} X_{1}\\ X_{2} \end{bmatrix} \end{matrix}\right.\)

\(\left\{\begin{matrix} \begin{bmatrix} \dot{X_{1}}\\ \dot{X_{2}} \end{bmatrix}=\begin{bmatrix} 0 & -k_{2}/k_{1}\\ 1 & -1 \end{bmatrix}\begin{bmatrix} {X_{1}}\\ {X_{2}} \end{bmatrix}+\begin{bmatrix} 1/k_{1}\\ k \end{bmatrix}u\\ Y= \begin{bmatrix} 0 & k_{3} \end{bmatrix}\begin{bmatrix} X_{1}\\ X_{2} \end{bmatrix} \end{matrix}\right.\)

\(\left\{\begin{matrix} \begin{bmatrix} \dot{X_{1}}\\ \dot{X_{2}} \end{bmatrix}=\begin{bmatrix} -k_{1} & -k_{2}\\ k_{2} & 1 \end{bmatrix}\begin{bmatrix} {X_{1}}\\ {X_{2}} \end{bmatrix}+\begin{bmatrix} 1\\ kk_{2} \end{bmatrix}u\\ Y= \begin{bmatrix} k_{3} & 0 \end{bmatrix}\begin{bmatrix} X_{1}\\ X_{2} \end{bmatrix} \end{matrix}\right.\)

\(\left\{\begin{matrix} \begin{bmatrix} \dot{X_{1}}\\ \dot{X_{2}} \end{bmatrix}=\begin{bmatrix} -k_{1}k_{2} & 0\\ 1 & -1 \end{bmatrix}\begin{bmatrix} {X_{1}}\\ {X_{2}} \end{bmatrix}+\begin{bmatrix} k_{1}\\ k \end{bmatrix}u\\ Y= \begin{bmatrix} 0 & k_{3} \end{bmatrix}\begin{bmatrix} X_{1}\\ X_{2} \end{bmatrix} \end{matrix}\right.\)

\(\left\{\begin{matrix} \begin{bmatrix} \dot{X_{1}}\\ \dot{X_{2}} \end{bmatrix}=\begin{bmatrix} -k_{1} & k_{2}\\ k_{2} & k_{1} \end{bmatrix}\begin{bmatrix} {X_{1}}\\ {X_{2}} \end{bmatrix}+\begin{bmatrix} k_{1}\\ k \end{bmatrix}u\\ Y= \begin{bmatrix} k_{3} & k_{3} \end{bmatrix}\begin{bmatrix} X_{1}\\ X_{2} \end{bmatrix} \end{matrix}\right.\)