GATE EE 2017 Set 2 — Question 46

NAT+2 / -0MediumSolution of State EquationsState-Space AnalysisControl Systems

Control Systems → State-Space Analysis → Solution of State Equations

Last updated 5 September 2026

Question

\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{bmatrix} + \begin{bmatrix} 0 \\ 1 \end{bmatrix} u(t)

A = \begin{bmatrix} 0 & 1 \\ 0 & -2 \end{bmatrix}

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A = \begin{bmatrix} 0 & 1 \\ 0 & -2 \end{bmatrix}

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