Consider the state-space system: \begin{cases} \dot{x} = Ax + Bu \\ y = Cx + Du \end{cases} with $A = \begin{bmatrix} 0 & 1 \\ -2 & -3 \end{bmatrix}$, $B = \begin{bmatrix} 1 \\ 1 \end{bmatrix}$, $C = \begin{bmatrix} 1 & 0 \\ 1 & 1 \end{bmatrix}$, $D = \begin{bmatrix} 0 \\ 0 \end{bmatrix}$, and $x(0) = \begin{bmatrix} 1 \\ 1 \end{bmatrix}$ a) How many inputs, states and outputs does the system have?
Added by Kurt S.
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To determine the number of inputs, we look at the dimensions of the B matrix. In this case, B is a column vector with dimension (2x1). Show more…
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