GATE EC 2014 Set 2 — Question 56

MCQ+2 / -0.67EasySolution 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} \\ \dot{x_2} \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0 & -2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}

\dot x_1=-x_1,\qquad \dot x_2=-2x_2

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\dot x_1=-x_1,\qquad \dot x_2=-2x_2

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