Control Systems - State Space

Consider the state-space description of an LTI system with matrices A = $\begin{bmatrix} 0 & 1 \ -1 & -2 \end{bmatrix}$, B = $\begin{bmatrix} 0 \ 1 \end{bmatrix}$, C = $\begin{bmatrix} 3 & -2 \end{bmatrix}$, D = 1 For th...

Consider a state-variable model of a system [ẋ1; ẋ2] = [[0, 1]; [-α, -2β]] * [x1; x2] + [[0]; [α]] * r y = [1, 0] * [x1; x2] where y is the output, and r is the input. The damping ratio ξ and the undamped natural frequen...

Consider the system described by the following state space representation $\begin{bmatrix} \dot{x}_1(t) \\ \dot{x}_2(t) \end{bmatrix} = \begin{bmatrix} 0 & 1 \\ 0 & -2 \end{bmatrix} \begin{bmatrix} x_1(t) \\ x_2(t) \end{...