GATE EC 2014 Set 1 — Question 56

MCQ+2 / -0.67MediumControllability & ObservabilityState-Space AnalysisControl Systems

Control Systems → State-Space Analysis → Controllability & Observability

Last updated 5 September 2026

Question

\begin{bmatrix} \dot{x}_1 \\ \dot{x}_2 \\ \dot{x}_3 \end{bmatrix} = \begin{bmatrix} -1 & 1 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & -2 \end{bmatrix} \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix} + \begin{bmatrix} 0 \\ 4 \\ 0 \end{bmatrix} u; \quad y = [1 \quad 1 \quad 1] \begin{bmatrix} x_1 \\ x_2 \\ x_3 \end{bmatrix}.

\dot{x} = Ax + Bu

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\dot{x} = Ax + Bu

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