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A system is described by a state space model of the form \frac{d\mathbf{x}}{d...

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A system is described by a state space model of the form

\frac{d\mathbf{x}}{dt} = \begin{bmatrix} 1 & 1\\-1 & 1\end{bmatrix}\mathbf{x}(t) + \begin{bmatrix} 1\\0\end{bmatrix}u(t)\qquad y(t) = \begin{bmatrix} 1 & 1\end{bmatrix}\mathbf{x}(t)\frac{d\mathbf{x}}{dt} = \begin{bmatrix} 1 & 1\\-1 & 1\end{bmatrix}\mathbf{x}(t) + \begin{bmatrix} 1\\0\end{bmatrix}u(t)\qquad y(t) = \begin{bmatrix} 1 & 1\end{bmatrix}\mathbf{x}(t)

The transfer function from the input uu to the output yy is:

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